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@article{DBLP:journals/cmam/RajanJ24,
author = {M. P. Rajan and
Jaise Jose},
title = {An Efficient Discretization Scheme for Solving Nonlinear Ill-Posed
Problems},
journal = {Comput. Methods Appl. Math.},
volume = {24},
number = {1},
pages = {173--184},
year = {2024},
url = {https://doi.org/10.1515/cmam-2021-0146},
doi = {10.1515/CMAM-2021-0146},
timestamp = {Sat, 10 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cmam/RajanJ24.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/PangJA24,
author = {Gang Pang and
Songsong Ji and
Xavier Antoine},
title = {Construction and analysis of discretization schemes for one-dimensional
nonlocal Schr{\"{o}}dinger equations with exact absorbing boundary
conditions},
journal = {J. Comput. Appl. Math.},
volume = {440},
pages = {115623},
year = {2024},
url = {https://doi.org/10.1016/j.cam.2023.115623},
doi = {10.1016/J.CAM.2023.115623},
timestamp = {Wed, 13 Dec 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/PangJA24.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/LuoLQZC24,
author = {Dongmi Luo and
Shiyi Li and
Jianxian Qiu and
Jun Zhu and
Yibing Chen},
title = {A compact simple {HWENO} scheme with {ADER} time discretization for
hyperbolic conservation laws {I:} Structured meshes},
journal = {J. Comput. Phys.},
volume = {504},
pages = {112886},
year = {2024},
url = {https://doi.org/10.1016/j.jcp.2024.112886},
doi = {10.1016/J.JCP.2024.112886},
timestamp = {Fri, 31 May 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/LuoLQZC24.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/LiL24,
author = {Zhen Li and
DingFang Li},
title = {Nonstaggered Central Scheme Under Steady-State Discretization for
Solving the Ripa Model},
journal = {J. Sci. Comput.},
volume = {99},
number = {3},
pages = {78},
year = {2024},
url = {https://doi.org/10.1007/s10915-024-02536-y},
doi = {10.1007/S10915-024-02536-Y},
timestamp = {Fri, 31 May 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/LiL24.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/AkyildizCM24,
author = {{\"{O}}mer Deniz Akyildiz and
Dan Crisan and
Joaqu{\'{\i}}n M{\'{\i}}guez},
title = {Sequential Discretization Schemes for a Class of Stochastic Differential
Equations and their Application to Bayesian Filtering},
journal = {{SIAM} J. Numer. Anal.},
volume = {62},
number = {2},
pages = {946--973},
year = {2024},
url = {https://doi.org/10.1137/23m1560124},
doi = {10.1137/23M1560124},
timestamp = {Fri, 17 May 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/AkyildizCM24.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cnsns/NoupelahTW23,
author = {Aurelien Junior Noupelah and
Antoine Tambue and
Jean Louis Woukeng},
title = {Strong convergence of a fractional exponential integrator scheme for
finite element discretization of time-fractional {SPDE} driven by
fractional and standard Brownian motions},
journal = {Commun. Nonlinear Sci. Numer. Simul.},
volume = {125},
pages = {107371},
year = {2023},
url = {https://doi.org/10.1016/j.cnsns.2023.107371},
doi = {10.1016/J.CNSNS.2023.107371},
timestamp = {Tue, 12 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cnsns/NoupelahTW23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/fams/CockburnDS23,
author = {Bernardo Cockburn and
Shukai Du and
Manuel A. S{\'{a}}nchez},
title = {Combining finite element space-discretizations with symplectic time-marching
schemes for linear Hamiltonian systems},
journal = {Frontiers Appl. Math. Stat.},
volume = {9},
year = {2023},
url = {https://doi.org/10.3389/fams.2023.1165371},
doi = {10.3389/FAMS.2023.1165371},
timestamp = {Fri, 15 Mar 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/fams/CockburnDS23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/FuOL23,
author = {Guosheng Fu and
Stanley J. Osher and
Wuchen Li},
title = {High order spatial discretization for variational time implicit schemes:
Wasserstein gradient flows and reaction-diffusion systems},
journal = {J. Comput. Phys.},
volume = {491},
pages = {112375},
year = {2023},
url = {https://doi.org/10.1016/j.jcp.2023.112375},
doi = {10.1016/J.JCP.2023.112375},
timestamp = {Tue, 07 May 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/FuOL23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/MarinoM23,
author = {Raffaele Marino and
Nicolas Macris},
title = {Solving Non-linear Kolmogorov Equations in Large Dimensions by Using
Deep Learning: {A} Numerical Comparison of Discretization Schemes},
journal = {J. Sci. Comput.},
volume = {94},
number = {1},
pages = {8},
year = {2023},
url = {https://doi.org/10.1007/s10915-022-02044-x},
doi = {10.1007/S10915-022-02044-X},
timestamp = {Sun, 25 Dec 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/MarinoM23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/symmetry/XuX23,
author = {Xiaoping Xu and
Lei Xu},
title = {Stability of Two Kinds of Discretization Schemes for Nonhomogeneous
Fractional Cauchy Problem},
journal = {Symmetry},
volume = {15},
number = {7},
pages = {1355},
year = {2023},
url = {https://doi.org/10.3390/sym15071355},
doi = {10.3390/SYM15071355},
timestamp = {Fri, 11 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/symmetry/XuX23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/scalespace/BogenspergerCEP23,
author = {Lea Bogensperger and
Antonin Chambolle and
Alexander Effland and
Thomas Pock},
editor = {Luca Calatroni and
Marco Donatelli and
Serena Morigi and
Marco Prato and
Matteo Santacesaria},
title = {Learned Discretization Schemes for the Second-Order Total Generalized
Variation},
booktitle = {Scale Space and Variational Methods in Computer Vision - 9th International
Conference, {SSVM} 2023, Santa Margherita di Pula, Italy, May 21-25,
2023, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {14009},
pages = {484--497},
publisher = {Springer},
year = {2023},
url = {https://doi.org/10.1007/978-3-031-31975-4\_37},
doi = {10.1007/978-3-031-31975-4\_37},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/scalespace/BogenspergerCEP23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2303-08950,
author = {Guosheng Fu and
Stanley J. Osher and
Wuchen Li},
title = {High order spatial discretization for variational time implicit schemes:
Wasserstein gradient flows and reaction-diffusion systems},
journal = {CoRR},
volume = {abs/2303.08950},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2303.08950},
doi = {10.48550/ARXIV.2303.08950},
eprinttype = {arXiv},
eprint = {2303.08950},
timestamp = {Mon, 20 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2303-08950.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2303-09349,
author = {Lea Bogensperger and
Antonin Chambolle and
Alexander Effland and
Thomas Pock},
title = {Learned Discretization Schemes for the Second-Order Total Generalized
Variation},
journal = {CoRR},
volume = {abs/2303.09349},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2303.09349},
doi = {10.48550/ARXIV.2303.09349},
eprinttype = {arXiv},
eprint = {2303.09349},
timestamp = {Mon, 20 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2303-09349.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2304-09724,
author = {Dongmi Luo and
Shiyi Li and
Jianxian Qiu and
Jun Zhu and
Yibing Chen},
title = {A compact simple {HWENO} scheme with {ADER} time discretization for
hyperbolic conservation laws {I:} structured meshes},
journal = {CoRR},
volume = {abs/2304.09724},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2304.09724},
doi = {10.48550/ARXIV.2304.09724},
eprinttype = {arXiv},
eprint = {2304.09724},
timestamp = {Mon, 24 Apr 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2304-09724.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2307-15496,
author = {Lorenz Richter and
Leon Sallandt and
Nikolas N{\"{u}}sken},
title = {From continuous-time formulations to discretization schemes: tensor
trains and robust regression for BSDEs and parabolic PDEs},
journal = {CoRR},
volume = {abs/2307.15496},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2307.15496},
doi = {10.48550/ARXIV.2307.15496},
eprinttype = {arXiv},
eprint = {2307.15496},
timestamp = {Wed, 02 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2307-15496.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2309-06260,
author = {Andrea Beck and
Marius Kurz},
title = {Toward Discretization-Consistent Closure Schemes for Large Eddy Simulation
Using Reinforcement Learning},
journal = {CoRR},
volume = {abs/2309.06260},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2309.06260},
doi = {10.48550/ARXIV.2309.06260},
eprinttype = {arXiv},
eprint = {2309.06260},
timestamp = {Wed, 20 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2309-06260.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2312-09772,
author = {Alexander Rothkopf and
Jan Nordstr{\"{o}}m},
title = {The crucial role of Lagrange multipliers in a space-time symmetry
preserving discretization scheme for IVPs},
journal = {CoRR},
volume = {abs/2312.09772},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2312.09772},
doi = {10.48550/ARXIV.2312.09772},
eprinttype = {arXiv},
eprint = {2312.09772},
timestamp = {Tue, 09 Jan 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2312-09772.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2312-12069,
author = {Hemanth Chandravamsi and
Steven H. Frankel},
title = {Low Dispersion Optimized High-Order Schemes for Discretization of
Non-Linear Straight and Mixed Second Derivative Terms},
journal = {CoRR},
volume = {abs/2312.12069},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2312.12069},
doi = {10.48550/ARXIV.2312.12069},
eprinttype = {arXiv},
eprint = {2312.12069},
timestamp = {Wed, 17 Jan 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2312-12069.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/GuedesMN22,
author = {Priscila F. S. Guedes and
Eduardo M. A. M. Mendes and
Erivelton G. Nepomuceno},
title = {Effective computational discretization scheme for nonlinear dynamical
systems},
journal = {Appl. Math. Comput.},
volume = {428},
pages = {127207},
year = {2022},
url = {https://doi.org/10.1016/j.amc.2022.127207},
doi = {10.1016/J.AMC.2022.127207},
timestamp = {Tue, 21 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/GuedesMN22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/WuLQ22,
author = {Dan Wu and
Junliang Lv and
Hao Qian},
title = {Parallel domain decomposition schemes based on finite volume element
discretization for nonsteady-state diffusion equations on distorted
meshes},
journal = {Comput. Math. Appl.},
volume = {112},
pages = {97--115},
year = {2022},
url = {https://doi.org/10.1016/j.camwa.2022.02.021},
doi = {10.1016/J.CAMWA.2022.02.021},
timestamp = {Mon, 04 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cma/WuLQ22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ewc/NathDH22,
author = {Kamaljyoti Nath and
Anjan Dutta and
Budhaditya Hazra},
title = {An adaptive scheme for random field discretization using {KL} expansion},
journal = {Eng. Comput.},
volume = {38},
number = {4},
pages = {2937--2954},
year = {2022},
url = {https://doi.org/10.1007/s00366-021-01326-6},
doi = {10.1007/S00366-021-01326-6},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ewc/NathDH22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/AbgrallOR22,
author = {R{\'{e}}mi Abgrall and
Philipp {\"{O}}ffner and
Hendrik Ranocha},
title = {Reinterpretation and extension of entropy correction terms for residual
distribution and discontinuous Galerkin schemes: Application to structure
preserving discretization},
journal = {J. Comput. Phys.},
volume = {453},
pages = {110955},
year = {2022},
url = {https://doi.org/10.1016/j.jcp.2022.110955},
doi = {10.1016/J.JCP.2022.110955},
timestamp = {Fri, 01 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/AbgrallOR22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/ZhouG22a,
author = {Lingling Zhou and
Ruihan Guo},
title = {Optimal Error Estimates of the Local Discontinuous Galerkin Method
and High-order Time Discretization Scheme for the Swift-Hohenberg
Equation},
journal = {J. Sci. Comput.},
volume = {93},
number = {2},
pages = {46},
year = {2022},
url = {https://doi.org/10.1007/s10915-022-02014-3},
doi = {10.1007/S10915-022-02014-3},
timestamp = {Sun, 13 Nov 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/ZhouG22a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tjs/PradhanD22,
author = {Subrat Kumar Pradhan and
Dushmanta Kumar Das},
title = {Delay-discretization-based sliding mode H\({}_{\mbox{{\(\infty\)}
}}\) load frequency control scheme considering actuator saturation
of wind-integrated power system},
journal = {J. Supercomput.},
volume = {78},
number = {12},
pages = {13942--13987},
year = {2022},
url = {https://doi.org/10.1007/s11227-022-04397-4},
doi = {10.1007/S11227-022-04397-4},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tjs/PradhanD22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cdc/RomeroBP22,
author = {Orlando Romero and
Mouhacine Benosman and
George J. Pappas},
title = {{ODE} Discretization Schemes as Optimization Algorithms},
booktitle = {61st {IEEE} Conference on Decision and Control, {CDC} 2022, Cancun,
Mexico, December 6-9, 2022},
pages = {6318--6325},
publisher = {{IEEE}},
year = {2022},
url = {https://doi.org/10.1109/CDC51059.2022.9992691},
doi = {10.1109/CDC51059.2022.9992691},
timestamp = {Tue, 07 May 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/cdc/RomeroBP22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2202-02357,
author = {Aurelien Junior Noupelah and
Antoine Tambue and
Jean Louis Woukeng},
title = {Strong convergence of an fractional exponential integrator scheme
for the finite element discretization of time-fractional {SPDE} driven
by standard and fractional Brownian motions},
journal = {CoRR},
volume = {abs/2202.02357},
year = {2022},
url = {https://arxiv.org/abs/2202.02357},
eprinttype = {arXiv},
eprint = {2202.02357},
timestamp = {Wed, 09 Feb 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2202-02357.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2202-13291,
author = {Daniel L. O'Connor and
Lim C. Siang and
Shams Elnawawi},
title = {A Simple Discretization Scheme for Gain Matrix Conditioning},
journal = {CoRR},
volume = {abs/2202.13291},
year = {2022},
url = {https://arxiv.org/abs/2202.13291},
eprinttype = {arXiv},
eprint = {2202.13291},
timestamp = {Wed, 02 Mar 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2202-13291.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2209-03849,
author = {Aaron Brunk and
Herbert Egger and
Oliver Habrich and
Maria Lukacova{-}Medvidova},
title = {A structure-preserving variational discretization scheme for the Cahn-Hilliard
Navier-Stokes system},
journal = {CoRR},
volume = {abs/2209.03849},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2209.03849},
doi = {10.48550/ARXIV.2209.03849},
eprinttype = {arXiv},
eprint = {2209.03849},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2209-03849.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/Shi21,
author = {Chunmei Shi},
title = {The convergence and stability of full discretization scheme for stochastic
age-structured population models},
journal = {Appl. Math. Comput.},
volume = {396},
pages = {125867},
year = {2021},
url = {https://doi.org/10.1016/j.amc.2020.125867},
doi = {10.1016/J.AMC.2020.125867},
timestamp = {Tue, 26 Jan 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/Shi21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/Galiano21,
author = {Gonzalo Galiano},
title = {Error analysis of some nonlocal diffusion discretization schemes},
journal = {Comput. Math. Appl.},
volume = {103},
pages = {40--52},
year = {2021},
url = {https://doi.org/10.1016/j.camwa.2021.10.023},
doi = {10.1016/J.CAMWA.2021.10.023},
timestamp = {Wed, 15 Dec 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cma/Galiano21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cnsns/ZhongZLP21,
author = {Liuqiang Zhong and
Liangliang Zhou and
Chunmei Liu and
Jie Peng},
title = {Two-grid {IPDG} discretization scheme for nonlinear elliptic PDEs},
journal = {Commun. Nonlinear Sci. Numer. Simul.},
volume = {95},
pages = {105587},
year = {2021},
url = {https://doi.org/10.1016/j.cnsns.2020.105587},
doi = {10.1016/J.CNSNS.2020.105587},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cnsns/ZhongZLP21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijcm/AbideMCC21,
author = {St{\'{e}}phane Abide and
W. Mansouri and
Soufiane Cherkaoui and
X. Cheng},
title = {High-order compact scheme finite difference discretization for Signorini's
problem},
journal = {Int. J. Comput. Math.},
volume = {98},
number = {3},
pages = {580--591},
year = {2021},
url = {https://doi.org/10.1080/00207160.2020.1762869},
doi = {10.1080/00207160.2020.1762869},
timestamp = {Wed, 07 Apr 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijcm/AbideMCC21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/MohammadiDM21,
author = {Vahid Mohammadi and
Mehdi Dehghan and
Stefano De Marchi},
title = {Numerical simulation of a prostate tumor growth model by the {RBF-FD}
scheme and a semi-implicit time discretization},
journal = {J. Comput. Appl. Math.},
volume = {388},
pages = {113314},
year = {2021},
url = {https://doi.org/10.1016/j.cam.2020.113314},
doi = {10.1016/J.CAM.2020.113314},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcam/MohammadiDM21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/AltmannMU21,
author = {Robert Altmann and
Roland Maier and
Benjamin Unger},
title = {Semi-explicit discretization schemes for weakly coupled elliptic-parabolic
problems},
journal = {Math. Comput.},
volume = {90},
number = {329},
pages = {1089--1118},
year = {2021},
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author = {Aurelien Junior Noupelah and
Antoine Tambue},
title = {Optimal strong convergence rates of some Euler-type timestepping schemes
for the finite element discretization SPDEs driven by additive fractional
Brownian motion and Poisson random measure},
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author = {Marlis Hochbruck and
Jan Leibold},
title = {An implicit-explicit time discretization scheme for second-order semilinear
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author = {Marlis Hochbruck and
Jan Leibold},
title = {Correction to: An implicit-explicit time discretization scheme for
second-order semilinear wave equations with application to dynamic
boundary conditions},
journal = {Numerische Mathematik},
volume = {147},
number = {4},
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author = {Hakima Bessaih and
Annie Millet},
title = {Strong rates of convergence of space-time discretization schemes for
the 2D Navier-Stokes equations with additive noise},
journal = {CoRR},
volume = {abs/2102.01162},
year = {2021},
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title = {Error analysis of some nonlocal diffusion discretization schemes},
journal = {CoRR},
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author = {Annalena Mickel and
Andreas Neuenkirch},
title = {The weak convergence order of two Euler-type discretization schemes
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Jan Giesselmann and
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Nora Philippi},
title = {An asymptotic-preserving discretization scheme for gas transport in
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title = {The One Step Malliavin scheme: new discretization of BSDEs implemented
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journal = {CoRR},
volume = {abs/2110.05421},
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url = {https://arxiv.org/abs/2110.05421},
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author = {Guo{-}Dong Zhang and
Xiaoming He and
Xiaofeng Yang},
title = {Fully decoupled, linear and unconditionally energy stable time discretization
scheme for solving the magneto-hydrodynamic equations},
journal = {J. Comput. Appl. Math.},
volume = {369},
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author = {Daniel Matthes and
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title = {Discretization of flux-limited gradient flows: {\(\Gamma\)}-convergence
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author = {Sibo Li and
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author = {Hakima Bessaih and
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year = {2020},
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title = {Strong convergence of some Euler-type schemes for the finite element
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Brownian motion},
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year = {2020},
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author = {Guo{-}Dong Zhang and
Xiaoming He and
Xiaofeng Yang},
title = {A Decoupled, Linear and Unconditionally Energy Stable Scheme with
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@inproceedings{DBLP:conf/hucc/ZhangD19,
author = {Qingqing Zhang and
Chunmei Duan},
editor = {Danijela Milosevic and
Yong Tang and
Qiaohong Zu},
title = {Discretization of Laplace-Beltrami Operator Based on Cotangent Scheme
and Its Applications},
booktitle = {Human Centered Computing - 5th International Conference, {HCC} 2019,
{\v{C}}a{\v{c}}ak, Serbia, August 5-7, 2019, Revised Selected Papers},
series = {Lecture Notes in Computer Science},
volume = {11956},
pages = {608--614},
publisher = {Springer},
year = {2019},
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volume = {abs/1909.03497},
year = {2019},
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author = {Aurelien Junior Noupelah and
Antoine Tambue},
title = {Optimal strong convergence rates of some Euler-type timestepping schemes
for the finite element discretization SPDEs driven by additive fractional
Brownian motion and Poisson random measure},
journal = {CoRR},
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year = {2019},
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author = {Santosh Konangi and
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author = {Shixi Wang and
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author = {Rooholah Abedian},
title = {High-Order Semi-Discrete Central-Upwind Schemes with Lax-Wendroff-Type
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biburl = {https://dblp.org/rec/journals/cmam/Abedian18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijcm/IyiolaAFKW18,
author = {Olaniyi Samuel Iyiola and
E. O. Asante{-}Asamani and
Khaled M. Furati and
A. Q. M. Khaliq and
Bruce A. Wade},
title = {Efficient time discretization scheme for nonlinear space fractional
reaction-diffusion equations},
journal = {Int. J. Comput. Math.},
volume = {95},
number = {6-7},
pages = {1274--1291},
year = {2018},
url = {https://doi.org/10.1080/00207160.2017.1404995},
doi = {10.1080/00207160.2017.1404995},
timestamp = {Tue, 17 Apr 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijcm/IyiolaAFKW18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/LosSP18,
author = {Marcin Los and
Robert Schaefer and
Maciej Paszynski},
title = {Parallel space-time hp adaptive discretization scheme for parabolic
problems},
journal = {J. Comput. Appl. Math.},
volume = {344},
pages = {819--835},
year = {2018},
url = {https://doi.org/10.1016/j.cam.2017.12.005},
doi = {10.1016/J.CAM.2017.12.005},
timestamp = {Thu, 23 Jun 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcam/LosSP18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/Wang18d,
author = {Chunmei Wang},
title = {New discretization schemes for time-harmonic Maxwell equations by
weak Galerkin finite element methods},
journal = {J. Comput. Appl. Math.},
volume = {341},
pages = {127--143},
year = {2018},
url = {https://doi.org/10.1016/j.cam.2018.04.015},
doi = {10.1016/J.CAM.2018.04.015},
timestamp = {Thu, 20 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/Wang18d.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/SekulicUR18,
author = {Ivan Sekulic and
Eduard Ubeda and
Juan Manuel Rius},
title = {Versatile and accurate schemes of discretization for the electromagnetic
scattering analysis of arbitrarily shaped piecewise homogeneous objects},
journal = {J. Comput. Phys.},
volume = {374},
pages = {478--494},
year = {2018},
url = {https://doi.org/10.1016/j.jcp.2018.07.034},
doi = {10.1016/J.JCP.2018.07.034},
timestamp = {Fri, 09 Apr 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/SekulicUR18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/DuZ18,
author = {Guangzhi Du and
Liyun Zuo},
title = {A Parallel Partition of Unity Scheme Based on Two-Grid Discretizations
for the Navier-Stokes Problem},
journal = {J. Sci. Comput.},
volume = {75},
number = {3},
pages = {1445--1462},
year = {2018},
url = {https://doi.org/10.1007/s10915-017-0593-6},
doi = {10.1007/S10915-017-0593-6},
timestamp = {Fri, 04 May 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/DuZ18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/MukamT18,
author = {Jean Daniel Mukam and
Antoine Tambue},
title = {Strong Convergence Analysis of the Stochastic Exponential Rosenbrock
Scheme for the Finite Element Discretization of Semilinear SPDEs Driven
by Multiplicative and Additive Noise},
journal = {J. Sci. Comput.},
volume = {74},
number = {2},
pages = {937--978},
year = {2018},
url = {https://doi.org/10.1007/s10915-017-0475-y},
doi = {10.1007/S10915-017-0475-Y},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/MukamT18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/HsiaS18,
author = {Chun{-}Hsiung Hsia and
Ming{-}Cheng Shiue},
title = {On the long-time stability of a temporal discretization scheme for
the three dimensional viscous primitive equations},
journal = {Numerische Mathematik},
volume = {139},
number = {1},
pages = {187--245},
year = {2018},
url = {https://doi.org/10.1007/s00211-017-0934-2},
doi = {10.1007/S00211-017-0934-2},
timestamp = {Tue, 15 May 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/nm/HsiaS18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/AlnashriD18,
author = {Yahya Alnashri and
J{\'{e}}r{\^{o}}me Droniou},
title = {A Gradient Discretization Method to Analyze Numerical Schemes for
Nonlinear Variational Inequalities, Application to the Seepage Problem},
journal = {{SIAM} J. Numer. Anal.},
volume = {56},
number = {4},
pages = {2375--2405},
year = {2018},
url = {https://doi.org/10.1137/16M1105517},
doi = {10.1137/16M1105517},
timestamp = {Thu, 23 Jun 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/AlnashriD18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/eucc/FrancoSA18,
author = {Pierluigi Di Franco and
Giordano Scarciotti and
Alessandro Astolfi},
title = {Discretization schemes for constraint stabilization in nonlinear differential-algebraic
systems},
booktitle = {16th European Control Conference, {ECC} 2018, Limassol, Cyprus, June
12-15, 2018},
pages = {539--544},
publisher = {{IEEE}},
year = {2018},
url = {https://doi.org/10.23919/ECC.2018.8550189},
doi = {10.23919/ECC.2018.8550189},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/eucc/FrancoSA18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cor/CarrabsCCG17,
author = {Francesco Carrabs and
Carmine Cerrone and
Raffaele Cerulli and
Manlio Gaudioso},
title = {A novel discretization scheme for the close enough traveling salesman
problem},
journal = {Comput. Oper. Res.},
volume = {78},
pages = {163--171},
year = {2017},
url = {https://doi.org/10.1016/j.cor.2016.09.003},
doi = {10.1016/J.COR.2016.09.003},
timestamp = {Tue, 18 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cor/CarrabsCCG17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cphysics/DehghanM17,
author = {Mehdi Dehghan and
Vahid Mohammadi},
title = {A numerical scheme based on radial basis function finite difference
{(RBF-FD)} technique for solving the high-dimensional nonlinear Schr{\"{o}}dinger
equations using an explicit time discretization: Runge-Kutta method},
journal = {Comput. Phys. Commun.},
volume = {217},
pages = {23--34},
year = {2017},
url = {https://doi.org/10.1016/j.cpc.2017.03.012},
doi = {10.1016/J.CPC.2017.03.012},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cphysics/DehghanM17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/icl/WangS17,
author = {Jianyu Wang and
Yuan Shen},
title = {On the Discretization Schemes in Map-Aided Indoor Localization},
journal = {{IEEE} Commun. Lett.},
volume = {21},
number = {7},
pages = {1629--1632},
year = {2017},
url = {https://doi.org/10.1109/LCOMM.2017.2693359},
doi = {10.1109/LCOMM.2017.2693359},
timestamp = {Mon, 03 Jan 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/icl/WangS17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/BankVZ17,
author = {Randolph E. Bank and
Panayot S. Vassilevski and
Ludmil T. Zikatanov},
title = {Arbitrary dimension convection-diffusion schemes for space-time discretizations},
journal = {J. Comput. Appl. Math.},
volume = {310},
pages = {19--31},
year = {2017},
url = {https://doi.org/10.1016/j.cam.2016.04.029},
doi = {10.1016/J.CAM.2016.04.029},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/BankVZ17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jnma/LinkeNRW17,
author = {Alexander Linke and
Michael Neilan and
Leo G. Rebholz and
Nicholas E. Wilson},
title = {A connection between coupled and penalty projection timestepping schemes
with {FE} spatial discretization for the Navier-Stokes equations},
journal = {J. Num. Math.},
volume = {25},
number = {4},
pages = {229--248},
year = {2017},
url = {https://doi.org/10.1515/jnma-2016-1024},
doi = {10.1515/JNMA-2016-1024},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jnma/LinkeNRW17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/LiuW17,
author = {Huipo Liu and
Shuanghu Wang},
title = {A two-grid discretization scheme for optimal control problems of elliptic
equations},
journal = {Numer. Algorithms},
volume = {74},
number = {3},
pages = {699--716},
year = {2017},
url = {https://doi.org/10.1007/s11075-016-0168-x},
doi = {10.1007/S11075-016-0168-X},
timestamp = {Sat, 25 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/LiuW17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/lssc/DimovKTV17,
author = {Ivan Dimov and
Juri D. Kandilarov and
Venelin Todorov and
Lubin G. Vulkov},
editor = {Ivan Lirkov and
Svetozar Margenov},
title = {Time Discretization/Linearization Approach Based on {HOC} Difference
Schemes for Semilinear Parabolic Systems of Atmosphere Modelling},
booktitle = {Large-Scale Scientific Computing - 11th International Conference,
{LSSC} 2017, Sozopol, Bulgaria, June 5-9, 2017, Revised Selected Papers},
series = {Lecture Notes in Computer Science},
volume = {10665},
pages = {450--457},
publisher = {Springer},
year = {2017},
url = {https://doi.org/10.1007/978-3-319-73441-5\_49},
doi = {10.1007/978-3-319-73441-5\_49},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/lssc/DimovKTV17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/SatoTKIH16,
author = {Norikazu Sato and
Shintaro Takeuchi and
Takeo Kajishima and
Masahide Inagaki and
Nariaki Horinouchi},
title = {A consistent direct discretization scheme on Cartesian grids for convective
and conjugate heat transfer},
journal = {J. Comput. Phys.},
volume = {321},
pages = {76--104},
year = {2016},
url = {https://doi.org/10.1016/j.jcp.2016.05.034},
doi = {10.1016/J.JCP.2016.05.034},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/SatoTKIH16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/AhmedM16,
author = {Naveed Ahmed and
Gunar Matthies},
title = {Numerical Study of {SUPG} and {LPS} Methods Combined with Higher Order
Variational Time Discretization Schemes Applied to Time-Dependent
Linear Convection-Diffusion-Reaction Equations},
journal = {J. Sci. Comput.},
volume = {67},
number = {3},
pages = {988--1018},
year = {2016},
url = {https://doi.org/10.1007/s10915-015-0115-3},
doi = {10.1007/S10915-015-0115-3},
timestamp = {Fri, 19 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/AhmedM16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/BandaHH16,
author = {Mapundi K. Banda and
Axel{-}Stefan H{\"{a}}ck and
Michael Herty},
title = {Numerical Discretization of Coupling Conditions by High-Order Schemes},
journal = {J. Sci. Comput.},
volume = {69},
number = {1},
pages = {122--145},
year = {2016},
url = {https://doi.org/10.1007/s10915-016-0185-x},
doi = {10.1007/S10915-016-0185-X},
timestamp = {Fri, 30 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/BandaHH16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/FranckM16,
author = {Emmanuel Franck and
Laura S. Mendoza},
title = {Finite Volume Scheme with Local High Order Discretization of the Hydrostatic
Equilibrium for the Euler Equations with External Forces},
journal = {J. Sci. Comput.},
volume = {69},
number = {1},
pages = {314--354},
year = {2016},
url = {https://doi.org/10.1007/s10915-016-0199-4},
doi = {10.1007/S10915-016-0199-4},
timestamp = {Thu, 18 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/FranckM16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/KozelkovKETV16,
author = {Andrey Kozelkov and
Vadim Kurulin and
Vladislav Emelyanov and
Elena Tyatyushkina and
Konstantin Volkov},
title = {Comparison of Convective Flux Discretization Schemes in Detached-Eddy
Simulation of Turbulent Flows on Unstructured Meshes},
journal = {J. Sci. Comput.},
volume = {67},
number = {1},
pages = {176--191},
year = {2016},
url = {https://doi.org/10.1007/s10915-015-0075-7},
doi = {10.1007/S10915-015-0075-7},
timestamp = {Mon, 26 Oct 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/KozelkovKETV16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/ThorneK16,
author = {Jonathan Thorne and
Aaron Katz},
title = {Source Term Discretization Effects on the Steady-State Accuracy of
Finite Volume Schemes},
journal = {J. Sci. Comput.},
volume = {69},
number = {1},
pages = {146--169},
year = {2016},
url = {https://doi.org/10.1007/s10915-016-0186-9},
doi = {10.1007/S10915-016-0186-9},
timestamp = {Thu, 18 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/ThorneK16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/sigpro/SarkarS16,
author = {Soumik Sarkar and
Abhishek Srivastav},
title = {A composite discretization scheme for symbolic identification of complex
systems},
journal = {Signal Process.},
volume = {125},
pages = {156--170},
year = {2016},
url = {https://doi.org/10.1016/j.sigpro.2016.01.018},
doi = {10.1016/J.SIGPRO.2016.01.018},
timestamp = {Sat, 22 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/sigpro/SarkarS16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/adcm/HelsingH15,
author = {Johan Helsing and
Anders Holst},
title = {Variants of an explicit kernel-split panel-based Nystr{\"{o}}m
discretization scheme for Helmholtz boundary value problems},
journal = {Adv. Comput. Math.},
volume = {41},
number = {3},
pages = {691--708},
year = {2015},
url = {https://doi.org/10.1007/s10444-014-9383-y},
doi = {10.1007/S10444-014-9383-Y},
timestamp = {Mon, 05 Jun 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/adcm/HelsingH15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/DehghanM15,
author = {Mehdi Dehghan and
Vahid Mohammadi},
title = {The method of variably scaled radial kernels for solving two-dimensional
magnetohydrodynamic {(MHD)} equations using two discretizations: The
Crank-Nicolson scheme and the method of lines {(MOL)}},
journal = {Comput. Math. Appl.},
volume = {70},
number = {10},
pages = {2292--2315},
year = {2015},
url = {https://doi.org/10.1016/j.camwa.2015.08.032},
doi = {10.1016/J.CAMWA.2015.08.032},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cma/DehghanM15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/ZhangH15,
author = {Guo{-}Dong Zhang and
Yinnian He},
title = {Decoupled schemes for unsteady {MHD} equations {II:} Finite element
spatial discretization and numerical implementation},
journal = {Comput. Math. Appl.},
volume = {69},
number = {12},
pages = {1390--1406},
year = {2015},
url = {https://doi.org/10.1016/j.camwa.2015.03.019},
doi = {10.1016/J.CAMWA.2015.03.019},
timestamp = {Thu, 11 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cma/ZhangH15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/GuanG15,
author = {Qingguang Guan and
Max D. Gunzburger},
title = {{\texttheta} schemes for finite element discretization of the space-time
fractional diffusion equations},
journal = {J. Comput. Appl. Math.},
volume = {288},
pages = {264--273},
year = {2015},
url = {https://doi.org/10.1016/j.cam.2015.04.032},
doi = {10.1016/J.CAM.2015.04.032},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/GuanG15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/RaduNPK15,
author = {Florin Adrian Radu and
Jan Martin Nordbotten and
Iuliu Sorin Pop and
Kundan Kumar},
title = {A robust linearization scheme for finite volume based discretizations
for simulation of two-phase flow in porous media},
journal = {J. Comput. Appl. Math.},
volume = {289},
pages = {134--141},
year = {2015},
url = {https://doi.org/10.1016/j.cam.2015.02.051},
doi = {10.1016/J.CAM.2015.02.051},
timestamp = {Fri, 09 Apr 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcam/RaduNPK15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/AbgrallS15,
author = {R{\'{e}}mi Abgrall and
Dante De Santis},
title = {Linear and non-linear high order accurate residual distribution schemes
for the discretization of the steady compressible Navier-Stokes equations},
journal = {J. Comput. Phys.},
volume = {283},
pages = {329--359},
year = {2015},
url = {https://doi.org/10.1016/j.jcp.2014.11.031},
doi = {10.1016/J.JCP.2014.11.031},
timestamp = {Tue, 21 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/AbgrallS15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/SchwarzKF15,
author = {Stephan Schwarz and
Tobias Kempe and
Jochen Fr{\"{o}}hlich},
title = {A temporal discretization scheme to compute the motion of light particles
in viscous flows by an immersed boundary method},
journal = {J. Comput. Phys.},
volume = {281},
pages = {591--613},
year = {2015},
url = {https://doi.org/10.1016/j.jcp.2014.10.039},
doi = {10.1016/J.JCP.2014.10.039},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/SchwarzKF15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jnma/MohammadiB15,
author = {Masoumeh Mohammadi and
Alfio Borz{\`{\i}}},
title = {Analysis of the Chang-Cooper discretization scheme for a class of
Fokker-Planck equations},
journal = {J. Num. Math.},
volume = {23},
number = {3},
pages = {271--288},
year = {2015},
url = {https://doi.org/10.1515/jnma-2015-0018},
doi = {10.1515/JNMA-2015-0018},
timestamp = {Thu, 23 Jun 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jnma/MohammadiB15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/Wang15,
author = {Xiaojie Wang},
title = {An Exponential Integrator Scheme for Time Discretization of Nonlinear
Stochastic Wave Equation},
journal = {J. Sci. Comput.},
volume = {64},
number = {1},
pages = {234--263},
year = {2015},
url = {https://doi.org/10.1007/s10915-014-9931-0},
doi = {10.1007/S10915-014-9931-0},
timestamp = {Tue, 04 Jul 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/Wang15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mcs/ChengLW15,
author = {Dongsheng Cheng and
Zhiyong Liu and
Tingting Wu},
title = {A multigrid-based preconditioned solver for the Helmholtz equation
with a discretization by 25-point difference scheme},
journal = {Math. Comput. Simul.},
volume = {117},
pages = {54--67},
year = {2015},
url = {https://doi.org/10.1016/j.matcom.2015.01.009},
doi = {10.1016/J.MATCOM.2015.01.009},
timestamp = {Wed, 04 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/mcs/ChengLW15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/enumath/SivasMBA15,
author = {Abdullah Ali Sivas and
Murat Manguoglu and
J. H. M. ten Thije Boonkkamp and
M. J. H. Anthonissen},
editor = {B{\"{u}}lent Karas{\"{o}}zen and
Murat Manguoglu and
M{\"{u}}nevver Tezer{-}Sezgin and
Serdar G{\"{o}}ktepe and
{\"{O}}m{\"{u}}r Ugur},
title = {Discretization and Parallel Iterative Schemes for Advection-Diffusion-Reaction
Problems},
booktitle = {Numerical Mathematics and Advanced Applications - {ENUMATH} 2015 -
Proceedings of the 11th European Conference on Numerical Mathematics
and Advanced Applications, Ankara, Turkey, September 14-18, 2015},
series = {Lecture Notes in Computational Science and Engineering},
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publisher = {Springer},
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@article{DBLP:journals/cce/VersyptB14,
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title = {Analysis of finite difference discretization schemes for diffusion
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author = {Hatsuhiro Kato and
Hatsuyoshi Kato},
title = {Application of the Recursive Transfer Method to Flexural Waves {I:}
Novel Discretization Scheme Using Weak Form Theory Framework and Waveguide
Modes on Inhomogeneous Elastic Plates},
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@article{DBLP:journals/oms/AltS14,
author = {Walter Alt and
Martin Seydenschwanz},
title = {An implicit discretization scheme for linear-quadratic control problems
with bang-bang solutions},
journal = {Optim. Methods Softw.},
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number = {3},
pages = {535--560},
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@article{DBLP:journals/siamnum/FilbirKS14,
author = {Frank Filbir and
Stefan Kunis and
Ruben Seyfried},
title = {Effective Discretization of Direct Reconstruction Schemes For Photoacoustic
Imaging In Spherical Geometries},
journal = {{SIAM} J. Numer. Anal.},
volume = {52},
number = {6},
pages = {2722--2742},
year = {2014},
url = {https://doi.org/10.1137/130944898},
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biburl = {https://dblp.org/rec/journals/siamnum/FilbirKS14.bib},
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@article{DBLP:journals/siamnum/TianD14,
author = {Xiaochuan Tian and
Qiang Du},
title = {Asymptotically Compatible Schemes and Applications to Robust Discretization
of Nonlocal Models},
journal = {{SIAM} J. Numer. Anal.},
volume = {52},
number = {4},
pages = {1641--1665},
year = {2014},
url = {https://doi.org/10.1137/130942644},
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@article{DBLP:journals/jcam/RaduMPSK13,
author = {Florin A. Radu and
Adrian Muntean and
Iuliu Sorin Pop and
Nicolae Suciu and
Olaf Kolditz},
title = {A mixed finite element discretization scheme for a concrete carbonation
model with concentration-dependent porosity},
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pages = {74--85},
year = {2013},
url = {https://doi.org/10.1016/j.cam.2012.10.017},
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@article{DBLP:journals/jcphy/Norman13,
author = {Matthew R. Norman},
title = {Algorithmic improvements for schemes using the {ADER} time discretization},
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volume = {243},
pages = {176--178},
year = {2013},
url = {https://doi.org/10.1016/j.jcp.2013.03.003},
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@article{DBLP:journals/pami/LimT13,
author = {Meng{-}Hui Lim and
Andrew Beng Jin Teoh},
title = {A Novel Encoding Scheme for Effective Biometric Discretization: Linearly
Separable Subcode},
journal = {{IEEE} Trans. Pattern Anal. Mach. Intell.},
volume = {35},
number = {2},
pages = {300--313},
year = {2013},
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doi = {10.1109/TPAMI.2012.122},
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@article{DBLP:journals/siamnum/Brehier13,
author = {Charles{-}Edouard Br{\'{e}}hier},
title = {Analysis of an {HMM} Time-Discretization Scheme for a System of Stochastic
PDEs},
journal = {{SIAM} J. Numer. Anal.},
volume = {51},
number = {2},
pages = {1185--1210},
year = {2013},
url = {https://doi.org/10.1137/110853078},
doi = {10.1137/110853078},
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@article{DBLP:journals/siamnum/HertyPS13,
author = {Michael Herty and
Lorenzo Pareschi and
Sonja Steffensen},
title = {Implicit-Explicit Runge-Kutta Schemes for Numerical Discretization
of Optimal Control Problems},
journal = {{SIAM} J. Numer. Anal.},
volume = {51},
number = {4},
pages = {1875--1899},
year = {2013},
url = {https://doi.org/10.1137/120865045},
doi = {10.1137/120865045},
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biburl = {https://dblp.org/rec/journals/siamnum/HertyPS13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/siamsc/JiangSZ13,
author = {Yan Jiang and
Chi{-}Wang Shu and
Mengping Zhang},
title = {An Alternative Formulation of Finite Difference Weighted {ENO} Schemes
with Lax-Wendroff Time Discretization for Conservation Laws},
journal = {{SIAM} J. Sci. Comput.},
volume = {35},
number = {2},
year = {2013},
url = {https://doi.org/10.1137/120889885},
doi = {10.1137/120889885},
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biburl = {https://dblp.org/rec/journals/siamsc/JiangSZ13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/tip/GaramendiGMS13,
author = {Juan Francisco Garamendi and
Francisco Jos{\'{e}} Gaspar and
Norberto Malpica and
Emanuele Schiavi},
title = {Box Relaxation Schemes in Staggered Discretizations for the Dual Formulation
of Total Variation Minimization},
journal = {{IEEE} Trans. Image Process.},
volume = {22},
number = {5},
pages = {2030--2043},
year = {2013},
url = {https://doi.org/10.1109/TIP.2013.2244220},
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@inproceedings{DBLP:conf/enumath/BastingQGC13,
author = {Steffen Basting and
Annalisa Quaini and
Roland Glowinski and
Suncica Canic},
editor = {Assyr Abdulle and
Simone Deparis and
Daniel Kressner and
Fabio Nobile and
Marco Picasso},
title = {Comparison of Time Discretization Schemes to Simulate the Motion of
an Inextensible Beam},
booktitle = {Numerical Mathematics and Advanced Applications - {ENUMATH} 2013 -
Proceedings of {ENUMATH} 2013, the 10th European Conference on Numerical
Mathematics and Advanced Applications, Lausanne, Switzerland, August
2013},
series = {Lecture Notes in Computational Science and Engineering},
volume = {103},
pages = {175--183},
publisher = {Springer},
year = {2013},
url = {https://doi.org/10.1007/978-3-319-10705-9\_17},
doi = {10.1007/978-3-319-10705-9\_17},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/enumath/BastingQGC13.bib},
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@inproceedings{DBLP:conf/lssc/AltS13,
author = {Walter Alt and
Martin Seydenschwanz},
editor = {Ivan Lirkov and
Svetozar Margenov and
Jerzy Wasniewski},
title = {Improved Error Estimate for an Implicit Discretization Scheme for
Linear-Quadratic Control Problems with Bang-Bang Solutions},
booktitle = {Large-Scale Scientific Computing - 9th International Conference, {LSSC}
2013, Sozopol, Bulgaria, June 3-7, 2013. Revised Selected Papers},
series = {Lecture Notes in Computer Science},
volume = {8353},
pages = {57--65},
publisher = {Springer},
year = {2013},
url = {https://doi.org/10.1007/978-3-662-43880-0\_5},
doi = {10.1007/978-3-662-43880-0\_5},
timestamp = {Tue, 14 May 2019 10:00:50 +0200},
biburl = {https://dblp.org/rec/conf/lssc/AltS13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/fgcs/LeeTJK12,
author = {Hyung Gu Lee and
Andrew Beng Jin Teoh and
Ho Gi Jung and
Jaihie Kim},
title = {A secure biometric discretization scheme for face template protection},
journal = {Future Gener. Comput. Syst.},
volume = {28},
number = {1},
pages = {218--231},
year = {2012},
url = {https://doi.org/10.1016/j.future.2010.11.006},
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@article{DBLP:journals/gandc/RathjensO12,
author = {Hendrik Rathjens and
Natascha Oppelt},
title = {SWATgrid: An interface for setting up {SWAT} in a grid-based discretization
scheme},
journal = {Comput. Geosci.},
volume = {45},
pages = {161--167},
year = {2012},
url = {https://doi.org/10.1016/j.cageo.2011.11.004},
doi = {10.1016/J.CAGEO.2011.11.004},
timestamp = {Mon, 03 Jan 2022 00:00:00 +0100},
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bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/jcphy/MaginotMR12,
author = {Peter G. Maginot and
Jim E. Morel and
Jean C. Ragusa},
title = {A non-negative moment-preserving spatial discretization scheme for
the linearized Boltzmann transport equation in 1-D and 2-D Cartesian
geometries},
journal = {J. Comput. Phys.},
volume = {231},
number = {20},
pages = {6801--6826},
year = {2012},
url = {https://doi.org/10.1016/j.jcp.2012.06.018},
doi = {10.1016/J.JCP.2012.06.018},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/MaginotMR12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/jcphy/ToulorgeD12,
author = {Thomas Toulorge and
Wim Desmet},
title = {Optimal Runge-Kutta schemes for discontinuous Galerkin space discretizations
applied to wave propagation problems},
journal = {J. Comput. Phys.},
volume = {231},
number = {4},
pages = {2067--2091},
year = {2012},
url = {https://doi.org/10.1016/j.jcp.2011.11.024},
doi = {10.1016/J.JCP.2011.11.024},
timestamp = {Tue, 21 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ToulorgeD12.bib},
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@article{DBLP:journals/jcphy/YoungHM12,
author = {P. Young and
Sijia Hao and
Per{-}Gunnar Martinsson},
title = {A high-order Nystr{\"{o}}m discretization scheme for boundary
integral equations defined on rotationally symmetric surfaces},
journal = {J. Comput. Phys.},
volume = {231},
number = {11},
pages = {4142--4159},
year = {2012},
url = {https://doi.org/10.1016/j.jcp.2012.02.008},
doi = {10.1016/J.JCP.2012.02.008},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/YoungHM12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/na/GaoLLJ12,
author = {Wei Gao and
Hong Li and
Yang Liu and
Yong{-}Jun Jian},
title = {An oscillation-free high order TVD/CBC-based upwind scheme for convection
discretization},
journal = {Numer. Algorithms},
volume = {59},
number = {1},
pages = {29--50},
year = {2012},
url = {https://doi.org/10.1007/s11075-011-9474-5},
doi = {10.1007/S11075-011-9474-5},
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biburl = {https://dblp.org/rec/journals/na/GaoLLJ12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/siamsc/BihloP12,
author = {Alexander Bihlo and
Roman O. Popovych},
title = {Invariant Discretization Schemes for the Shallow-Water Equations},
journal = {{SIAM} J. Sci. Comput.},
volume = {34},
number = {6},
year = {2012},
url = {https://doi.org/10.1137/120861187},
doi = {10.1137/120861187},
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biburl = {https://dblp.org/rec/journals/siamsc/BihloP12.bib},
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@article{DBLP:journals/actanum/Wohlmuth11,
author = {Barbara I. Wohlmuth},
title = {Variationally consistent discretization schemes and numerical algorithms
for contact problems},
journal = {Acta Numer.},
volume = {20},
pages = {569--734},
year = {2011},
url = {https://doi.org/10.1017/S0962492911000079},
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bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/ana/PastorP11,
author = {Javier Pastor and
Sergey Piskarev},
title = {The Exponential Dichotomy under Discretization on General Approximation
Scheme},
journal = {Adv. Numer. Anal.},
volume = {2011},
pages = {582740:1--582740:22},
year = {2011},
url = {https://doi.org/10.1155/2011/582740},
doi = {10.1155/2011/582740},
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biburl = {https://dblp.org/rec/journals/ana/PastorP11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/jcphy/GassnerDHM11,
author = {Gregor Gassner and
Michael Dumbser and
Florian Hindenlang and
Claus{-}Dieter Munz},
title = {Explicit one-step time discretizations for discontinuous Galerkin
and finite volume schemes based on local predictors},
journal = {J. Comput. Phys.},
volume = {230},
number = {11},
pages = {4232--4247},
year = {2011},
url = {https://doi.org/10.1016/j.jcp.2010.10.024},
doi = {10.1016/J.JCP.2010.10.024},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/GassnerDHM11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/siamnum/YangB11,
author = {Yidu Yang and
Hai Bi},
title = {Two-Grid Finite Element Discretization Schemes Based on Shifted-Inverse
Power Method for Elliptic Eigenvalue Problems},
journal = {{SIAM} J. Numer. Anal.},
volume = {49},
number = {4},
pages = {1602--1624},
year = {2011},
url = {https://doi.org/10.1137/100810241},
doi = {10.1137/100810241},
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biburl = {https://dblp.org/rec/journals/siamnum/YangB11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/siamsc/RouxDS11,
author = {Daniel Y. Le Roux and
Michel Dieme and
Abdou S{\`{e}}ne},
title = {Time Discretization Schemes for Poincar{\'{e}} Waves in Finite-Element
Shallow-Water Models},
journal = {{SIAM} J. Sci. Comput.},
volume = {33},
number = {5},
pages = {2217--2246},
year = {2011},
url = {https://doi.org/10.1137/090779413},
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biburl = {https://dblp.org/rec/journals/siamsc/RouxDS11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/tac/SanyalNC11,
author = {Amit K. Sanyal and
Nikolaj Nordkvist and
Monique Chyba},
title = {An Almost Global Tracking Control Scheme for Maneuverable Autonomous
Vehicles and its Discretization},
journal = {{IEEE} Trans. Autom. Control.},
volume = {56},
number = {2},
pages = {457--462},
year = {2011},
url = {https://doi.org/10.1109/TAC.2010.2090190},
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biburl = {https://dblp.org/rec/journals/tac/SanyalNC11.bib},
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@inproceedings{DBLP:conf/mmcp/Acatrinei11,
author = {Ciprian Sorin Acatrinei},
editor = {Gheorghe Adam and
J{\'{a}}n Busa and
Michal Hnatic},
title = {A New Discretization Scheme in Field Theory},
booktitle = {Mathematical Modeling and Computational Science - International Conference,
{MMCP} 2011, Star{\'{a}} Lesn{\'{a}}, Slovakia, July 4-8,
2011, Revised Selected Papers},
series = {Lecture Notes in Computer Science},
volume = {7125},
pages = {122--127},
publisher = {Springer},
year = {2011},
url = {https://doi.org/10.1007/978-3-642-28212-6\_10},
doi = {10.1007/978-3-642-28212-6\_10},
timestamp = {Tue, 14 May 2019 10:00:40 +0200},
biburl = {https://dblp.org/rec/conf/mmcp/Acatrinei11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/computing/DednerKNO10,
author = {Andreas Dedner and
Robert Kl{\"{o}}fkorn and
Martin Nolte and
Mario Ohlberger},
title = {A generic interface for parallel and adaptive discretization schemes:
abstraction principles and the Dune-Fem module},
journal = {Computing},
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number = {3-4},
pages = {165--196},
year = {2010},
url = {https://doi.org/10.1007/s00607-010-0110-3},
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biburl = {https://dblp.org/rec/journals/computing/DednerKNO10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/jcphy/Ge10,
author = {Yongbin Ge},
title = {Multigrid method and fourth-order compact difference discretization
scheme with unequal meshsizes for 3D poisson equation},
journal = {J. Comput. Phys.},
volume = {229},
number = {18},
pages = {6381--6391},
year = {2010},
url = {https://doi.org/10.1016/j.jcp.2010.04.048},
doi = {10.1016/J.JCP.2010.04.048},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/Ge10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/jcphy/KluthD10,
author = {G. Kluth and
Bruno Despr{\'{e}}s},
title = {Discretization of hyperelasticity on unstructured mesh with a cell-centered
Lagrangian scheme},
journal = {J. Comput. Phys.},
volume = {229},
number = {24},
pages = {9092--9118},
year = {2010},
url = {https://doi.org/10.1016/j.jcp.2010.08.024},
doi = {10.1016/J.JCP.2010.08.024},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/KluthD10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/moc/Alfonsi10,
author = {Aur{\'{e}}lien Alfonsi},
title = {High order discretization schemes for the {CIR} process: Application
to affine term structure and Heston models},
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pages = {209--237},
year = {2010},
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bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/cphysics/WangS09,
author = {Zhongcheng Wang and
Hezhu Shao},
title = {A new kind of discretization scheme for solving a two-dimensional
time-independent Schr{\"{o}}dinger equation},
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number = {6},
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year = {2009},
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@article{DBLP:journals/jcam/AhipoT09,
author = {Yves Marcel Ahipo and
Philippe Traor{\'{e}}},
title = {A robust iterative scheme for finite volume discretization of diffusive
flux on highly skewed meshes},
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number = {1},
pages = {478--491},
year = {2009},
url = {https://doi.org/10.1016/j.cam.2009.03.015},
doi = {10.1016/J.CAM.2009.03.015},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/AhipoT09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/jcphy/LiuCS09,
author = {Wei Liu and
Juan Cheng and
Chi{-}Wang Shu},
title = {High order conservative Lagrangian schemes with Lax-Wendroff type
time discretization for the compressible Euler equations},
journal = {J. Comput. Phys.},
volume = {228},
number = {23},
pages = {8872--8891},
year = {2009},
url = {https://doi.org/10.1016/j.jcp.2009.09.001},
doi = {10.1016/J.JCP.2009.09.001},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/LiuCS09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/RoyS09,
author = {Christopher J. Roy and
Andrew J. Sinclair},
title = {On the generation of exact solutions for evaluating numerical schemes
and estimating discretization error},
journal = {J. Comput. Phys.},
volume = {228},
number = {5},
pages = {1790--1802},
year = {2009},
url = {https://doi.org/10.1016/j.jcp.2008.11.008},
doi = {10.1016/J.JCP.2008.11.008},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/RoyS09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/SenguptaVB09,
author = {Tapan K. Sengupta and
V. V. S. N. Vijay and
Swagata Bhaumik},
title = {Further improvement and analysis of {CCD} scheme: Dissipation discretization
and de-aliasing properties},
journal = {J. Comput. Phys.},
volume = {228},
number = {17},
pages = {6150--6168},
year = {2009},
url = {https://doi.org/10.1016/j.jcp.2009.05.038},
doi = {10.1016/J.JCP.2009.05.038},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/SenguptaVB09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/TraoreAL09,
author = {Philippe Traor{\'{e}} and
Yves Marcel Ahipo and
Christophe Louste},
title = {A robust and efficient finite volume scheme for the discretization
of diffusive flux on extremely skewed meshes in complex geometries},
journal = {J. Comput. Phys.},
volume = {228},
number = {14},
pages = {5148--5159},
year = {2009},
url = {https://doi.org/10.1016/j.jcp.2009.04.007},
doi = {10.1016/J.JCP.2009.04.007},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/TraoreAL09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/Rajan08,
author = {M. P. Rajan},
title = {A posteriori parameter choice with an efficient discretization scheme
for solving ill-posed problems},
journal = {Appl. Math. Comput.},
volume = {204},
number = {2},
pages = {891--904},
year = {2008},
url = {https://doi.org/10.1016/j.amc.2008.07.036},
doi = {10.1016/J.AMC.2008.07.036},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/Rajan08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/EthierB08,
author = {Marc Ethier and
Yves Bourgault},
title = {Semi-Implicit Time-Discretization Schemes for the Bidomain Model},
journal = {{SIAM} J. Numer. Anal.},
volume = {46},
number = {5},
pages = {2443--2468},
year = {2008},
url = {https://doi.org/10.1137/070680503},
doi = {10.1137/070680503},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/EthierB08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/GetreuerM08,
author = {Pascal Getreuer and
Fran{\c{c}}ois G. Meyer},
title = {{ENO} Multiresolution Schemes with General Discretizations},
journal = {{SIAM} J. Numer. Anal.},
volume = {46},
number = {6},
pages = {2953--2977},
year = {2008},
url = {https://doi.org/10.1137/060663763},
doi = {10.1137/060663763},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/GetreuerM08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/computing/GriebelO07,
author = {Michael Griebel and
Daniel Oeltz},
title = {A sparse grid space-time discretization scheme for parabolic problems},
journal = {Computing},
volume = {81},
number = {1},
pages = {1--34},
year = {2007},
url = {https://doi.org/10.1007/s00607-007-0241-3},
doi = {10.1007/S00607-007-0241-3},
timestamp = {Thu, 06 Aug 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/computing/GriebelO07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijbc/LetellierMM07,
author = {Christophe Letellier and
Eduardo M. A. M. Mendes and
Ronald E. Mickens},
title = {Nonstandard Discretization Schemes Applied to the Conservative H{\'{e}}non-heiles
System},
journal = {Int. J. Bifurc. Chaos},
volume = {17},
number = {3},
pages = {891--902},
year = {2007},
url = {https://doi.org/10.1142/S0218127407017616},
doi = {10.1142/S0218127407017616},
timestamp = {Wed, 27 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijbc/LetellierMM07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/iscas/GaliasY07,
author = {Zbigniew Galias and
Xinghuo Yu},
title = {Equivalence of two discretization schemes in a simple sliding mode
control system},
booktitle = {International Symposium on Circuits and Systems {(ISCAS} 2007), 27-20
May 2007, New Orleans, Louisiana, {USA}},
pages = {1677--1680},
publisher = {{IEEE}},
year = {2007},
url = {https://doi.org/10.1109/ISCAS.2007.377915},
doi = {10.1109/ISCAS.2007.377915},
timestamp = {Wed, 20 Nov 2019 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/iscas/GaliasY07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/isda/BarbosaMJ07,
author = {Ramiro S. Barbosa and
Jos{\'{e}} Ant{\'{o}}nio Tenreiro Machado and
Isabel S. Jesus},
editor = {Luiza de Macedo Mourelle and
Nadia Nedjah and
Janusz Kacprzyk and
Ajith Abraham},
title = {A General Discretization Scheme for the Design of {IIR} Fractional
Filters},
booktitle = {Seventh International Conference on Intelligent Systems Design and
Applications, {ISDA} 2007, Rio de Janeiro, Brazil, October 20-24,
2007},
pages = {665--670},
publisher = {{IEEE} Computer Society},
year = {2007},
url = {https://doi.org/10.1109/ISDA.2007.69},
doi = {10.1109/ISDA.2007.69},
timestamp = {Thu, 23 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/isda/BarbosaMJ07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/WangZZ06a,
author = {Jie Wang and
Weijun Zhong and
Jun Zhang},
title = {A general meshsize fourth-order compact difference discretization
scheme for 3D Poisson equation},
journal = {Appl. Math. Comput.},
volume = {183},
number = {2},
pages = {804--812},
year = {2006},
url = {https://doi.org/10.1016/j.amc.2006.06.028},
doi = {10.1016/J.AMC.2006.06.028},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/WangZZ06a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cagd/Xu06,
author = {Guoliang Xu},
title = {Convergence analysis of a discretization scheme for Gaussian curvature
over triangular surfaces},
journal = {Comput. Aided Geom. Des.},
volume = {23},
number = {2},
pages = {193--207},
year = {2006},
url = {https://doi.org/10.1016/j.cagd.2005.07.002},
doi = {10.1016/J.CAGD.2005.07.002},
timestamp = {Sat, 22 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cagd/Xu06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cphysics/DorfiPSG06,
author = {Ernst A. Dorfi and
H. Pikall and
Alexander St{\"{o}}kl and
A. Gautschy},
title = {Towards a more consistent discretization scheme for adaptive implicit
{RHD} computations},
journal = {Comput. Phys. Commun.},
volume = {174},
number = {10},
pages = {771--782},
year = {2006},
url = {https://doi.org/10.1016/j.cpc.2005.12.012},
doi = {10.1016/J.CPC.2005.12.012},
timestamp = {Wed, 16 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cphysics/DorfiPSG06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/BotchevHV06,
author = {Mike A. Botchev and
Davit Harutyunyan and
Jaap J. W. van der Vegt},
title = {The Gautschi time stepping scheme for edge finite element discretizations
of the Maxwell equations},
journal = {J. Comput. Phys.},
volume = {216},
number = {2},
pages = {654--686},
year = {2006},
url = {https://doi.org/10.1016/j.jcp.2006.01.014},
doi = {10.1016/J.JCP.2006.01.014},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/BotchevHV06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/RamboerBSL06,
author = {Jan Ramboer and
Tim Broeckhoven and
Sergey Smirnov and
Chris Lacor},
title = {Optimization of time integration schemes coupled to spatial discretization
for use in {CAA} applications},
journal = {J. Comput. Phys.},
volume = {213},
number = {2},
pages = {777--802},
year = {2006},
url = {https://doi.org/10.1016/j.jcp.2005.08.033},
doi = {10.1016/J.JCP.2005.08.033},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/RamboerBSL06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/GottliebR06,
author = {Sigal Gottlieb and
Steven J. Ruuth},
title = {Optimal Strong-Stability-Preserving Time-Stepping Schemes with Fast
Downwind Spatial Discretizations},
journal = {J. Sci. Comput.},
volume = {27},
number = {1-3},
pages = {289--303},
year = {2006},
url = {https://doi.org/10.1007/s10915-005-9054-8},
doi = {10.1007/S10915-005-9054-8},
timestamp = {Thu, 18 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/GottliebR06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/ChienJ06,
author = {Cheng{-}Sheng Chien and
Bor{-}Wen Jeng},
title = {A Two-Grid Discretization Scheme for Semilinear Elliptic Eigenvalue
Problems},
journal = {{SIAM} J. Sci. Comput.},
volume = {27},
number = {4},
pages = {1287--1304},
year = {2006},
url = {https://doi.org/10.1137/030602447},
doi = {10.1137/030602447},
timestamp = {Fri, 16 Dec 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/ChienJ06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/Petrovskaya06,
author = {N. B. Petrovskaya},
title = {On Oscillations in Discontinuous Galerkin Discretization Schemes for
Steady State Problems},
journal = {{SIAM} J. Sci. Comput.},
volume = {27},
number = {4},
pages = {1329--1346},
year = {2006},
url = {https://doi.org/10.1137/040603085},
doi = {10.1137/040603085},
timestamp = {Thu, 30 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamsc/Petrovskaya06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/transci/OuyangD06,
author = {Yanfeng Ouyang and
Carlos F. Daganzo},
title = {Discretization and Validation of the Continuum Approximation Scheme
for Terminal System Design},
journal = {Transp. Sci.},
volume = {40},
number = {1},
pages = {89--98},
year = {2006},
url = {https://doi.org/10.1287/trsc.1040.0110},
doi = {10.1287/TRSC.1040.0110},
timestamp = {Tue, 08 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/transci/OuyangD06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/envsoft/BuesoAAR05,
author = {Mar{\'{\i}}a del Carmen Bueso and
Jos{\'{e}} Miguel Angulo and
Francisco Javier Alonso and
Mar{\'{\i}}a Dolores Ruiz{-}Medina},
title = {A study on sensitivity of spatial sampling designs to a priori discretization
schemes},
journal = {Environ. Model. Softw.},
volume = {20},
number = {7},
pages = {891--902},
year = {2005},
url = {https://doi.org/10.1016/j.envsoft.2004.03.019},
doi = {10.1016/J.ENVSOFT.2004.03.019},
timestamp = {Thu, 26 Jan 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/envsoft/BuesoAAR05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mcma/Alfonsi05,
author = {Aur{\'{e}}lien Alfonsi},
title = {On the discretization schemes for the {CIR} (and Bessel squared) processes},
journal = {Monte Carlo Methods Appl.},
volume = {11},
number = {4},
pages = {355--384},
year = {2005},
url = {https://doi.org/10.1515/156939605777438569},
doi = {10.1515/156939605777438569},
timestamp = {Fri, 03 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/mcma/Alfonsi05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/IEEEisic/BilbaoGuillernaSAI05,
author = {Aitor Bilbao{-}Guillerna and
Manuel de la Sen and
Santiago Alonso{-}Quesada and
Asier Ibeas},
title = {A Multiestimation Scheme Using Different Froh-Discretizations},
booktitle = {Intelligent Control, 2005. Proceedings of the 2005 {IEEE} International
Symposium on, Mediterrean Conference on Control and Automation, Limassol,
Cyprus, 27-29 June, 2005},
pages = {200--205},
publisher = {{IEEE}},
year = {2005},
url = {https://doi.org/10.1109/.2005.1467015},
doi = {10.1109/.2005.1467015},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/IEEEisic/BilbaoGuillernaSAI05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/lssc/Chryssoverghi05,
author = {Ion Chryssoverghi},
editor = {Ivan Lirkov and
Svetozar Margenov and
Jerzy Wasniewski},
title = {Approximate Gradient/Penalty Methods with General Discretization Schemes
for Optimal Control Problems},
booktitle = {Large-Scale Scientific Computing, 5th International Conference, {LSSC}
2005, Sozopol, Bulgaria, June 6-10, 2005, Revised Papers},
series = {Lecture Notes in Computer Science},
volume = {3743},
pages = {199--207},
publisher = {Springer},
year = {2005},
url = {https://doi.org/10.1007/11666806\_21},
doi = {10.1007/11666806\_21},
timestamp = {Tue, 14 May 2019 10:00:50 +0200},
biburl = {https://dblp.org/rec/conf/lssc/Chryssoverghi05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tgrs/JorgensenKMB04,
author = {Erik J{\o}rgensen and
Oleksiy S. Kim and
Peter Meincke and
Olav Breinbjerg},
title = {Higher order hierarchical discretization scheme for surface integral
equations for layered media},
journal = {{IEEE} Trans. Geosci. Remote. Sens.},
volume = {42},
number = {4},
pages = {764--772},
year = {2004},
url = {https://doi.org/10.1109/TGRS.2003.819881},
doi = {10.1109/TGRS.2003.819881},
timestamp = {Tue, 12 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tgrs/JorgensenKMB04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/gecco/Aguilar-RuizBD04,
author = {Jes{\'{u}}s S. Aguilar{-}Ruiz and
Jaume Bacardit and
Federico Divina},
editor = {Kalyanmoy Deb and
Riccardo Poli and
Wolfgang Banzhaf and
Hans{-}Georg Beyer and
Edmund K. Burke and
Paul J. Darwen and
Dipankar Dasgupta and
Dario Floreano and
James A. Foster and
Mark Harman and
Owen Holland and
Pier Luca Lanzi and
Lee Spector and
Andrea Tettamanzi and
Dirk Thierens and
Andrew M. Tyrrell},
title = {Experimental Evaluation of Discretization Schemes for Rule Induction},
booktitle = {Genetic and Evolutionary Computation - {GECCO} 2004, Genetic and Evolutionary
Computation Conference, Seattle, WA, USA, June 26-30, 2004, Proceedings,
Part {I}},
series = {Lecture Notes in Computer Science},
volume = {3102},
pages = {828--839},
publisher = {Springer},
year = {2004},
url = {https://doi.org/10.1007/978-3-540-24854-5\_85},
doi = {10.1007/978-3-540-24854-5\_85},
timestamp = {Tue, 14 May 2019 10:00:35 +0200},
biburl = {https://dblp.org/rec/conf/gecco/Aguilar-RuizBD04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/interspeech/BirkholzJ04,
author = {Peter Birkholz and
Dietmar Jack{\`{e}}l},
title = {Influence of temporal discretization schemes on formant frequencies
and bandwidths in time domain simulations of the vocal tract system},
booktitle = {8th International Conference on Spoken Language Processing, {INTERSPEECH-ICSLP}
2004, Jeju Island, Korea, October 4-8, 2004},
pages = {1125--1128},
publisher = {{ISCA}},
year = {2004},
url = {https://doi.org/10.21437/Interspeech.2004-409},
doi = {10.21437/INTERSPEECH.2004-409},
timestamp = {Tue, 11 Jun 2024 16:45:43 +0200},
biburl = {https://dblp.org/rec/conf/interspeech/BirkholzJ04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/QiuS03,
author = {Jianxian Qiu and
Chi{-}Wang Shu},
title = {Finite Difference {WENO} Schemes with Lax-Wendroff-Type Time Discretizations},
journal = {{SIAM} J. Sci. Comput.},
volume = {24},
number = {6},
pages = {2185--2198},
year = {2003},
url = {https://doi.org/10.1137/S1064827502412504},
doi = {10.1137/S1064827502412504},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/QiuS03.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/appml/Fournie02,
author = {Michel Fourni{\'{e}}},
title = {Numerical discretization of energy-transport model for semiconductors
using high-order compact schemes},
journal = {Appl. Math. Lett.},
volume = {15},
number = {6},
pages = {721--726},
year = {2002},
url = {https://doi.org/10.1016/S0893-9659(02)00033-2},
doi = {10.1016/S0893-9659(02)00033-2},
timestamp = {Fri, 26 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/appml/Fournie02.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcs/TajineR02,
author = {Mohamed Tajine and
Christian Ronse},
title = {Topological properties of Hausdorff discretization, and comparison
to other discretization schemes},
journal = {Theor. Comput. Sci.},
volume = {283},
number = {1},
pages = {243--268},
year = {2002},
url = {https://doi.org/10.1016/S0304-3975(01)00082-2},
doi = {10.1016/S0304-3975(01)00082-2},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tcs/TajineR02.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/kybernetika/Gu01,
author = {Keqin Gu},
title = {Discretization schemes for Lyapunov-Krasovskii functionals in time-delay
systems},
journal = {Kybernetika},
volume = {37},
number = {4},
pages = {479--504},
year = {2001},
url = {http://www.kybernetika.cz/content/2001/4/479},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/kybernetika/Gu01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/moc/XuZ01,
author = {Jinchao Xu and
Aihui Zhou},
title = {A two-grid discretization scheme for eigenvalue problems},
journal = {Math. Comput.},
volume = {70},
number = {233},
pages = {17--25},
year = {2001},
url = {https://doi.org/10.1090/S0025-5718-99-01180-1},
doi = {10.1090/S0025-5718-99-01180-1},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/moc/XuZ01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/nla/BennettS01,
author = {Beth Anne V. Bennett and
Mitchell D. Smooke},
title = {The effect of overall discretization scheme on Jacobian structure,
convergence rate, and solution accuracy within the local rectangular
refinement method},
journal = {Numer. Linear Algebra Appl.},
volume = {8},
number = {8},
pages = {513--536},
year = {2001},
url = {https://doi.org/10.1002/nla.265},
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