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Publication search results
found 45 matches
- 2024
- Barry Lee:
Bringing physics into the coarse-grid selection: Approximate diffusion distance/effective resistance measures for network analysis and algebraic multigrid for graph Laplacians and systems of elliptic partial differential equations. Numer. Linear Algebra Appl. 31(2) (2024) - Jan-Philipp von Bassewitz, Sebastian Kaltenbach, Petros Koumoutsakos:
Closure Discovery for Coarse-Grained Partial Differential Equations using Multi-Agent Reinforcement Learning. CoRR abs/2402.00972 (2024) - Qiya Hu, Ziyi Li:
A novel coarse space applying to the weighted Schwarz method for Helmholtz equations. CoRR abs/2402.06905 (2024) - 2023
- Yunhui He:
Optimal smoothing factor with coarsening by a factor of three for the MAC scheme for the Stokes equations. Comput. Math. Appl. 132: 63-72 (2023) - Philip A. Etter, Yuwei Fan, Lexing Ying:
Coarse-proxy reduced basis methods for integral equations. J. Comput. Phys. 475: 111835 (2023) - Katherine Owens, J. Nathan Kutz:
Data-Driven Discovery of Governing Equations for Coarse-Grained Heterogeneous Network Dynamics. SIAM J. Appl. Dyn. Syst. 22(3): 2601-2623 (2023) - Jakub Lála, Stefano Angiolleti-Uberti:
Coarse-Graining of Molecular Dynamics Using Neural Ordinary Differential Equations. EUROCON 2023: 105-110 - Cesare Bracco, Carlotta Giannelli, Alessandro Reali, Michele Torre, Rafael Vázquez Hernández:
Adaptive isogeometric phase-field modeling of the Cahn-Hilliard equation: Suitably graded hierarchical refinement and coarsening on multi-patch geometries. CoRR abs/2306.07112 (2023) - Xinxin Yan, Zhideng Zhou, Xiaohan Cheng, Xiaolei Yang:
Time integration schemes based on neural networks for solving partial differential equations on coarse grids. CoRR abs/2310.10308 (2023) - 2022
- Sagy R. Ephrati, Erwin Luesink, Golo A. Wimmer, Paolo Cifani, Bernard J. Geurts:
Computational Modeling for High-Fidelity Coarsening of Shallow Water Equations Based on Subgrid Data. Multiscale Model. Simul. 20(4): 1468-1489 (2022) - Andrei Draganescu, Mona Hajghassem:
Optimal order multigrid preconditioners for the distributed control of parabolic equations with coarsening in space and time. Optim. Methods Softw. 37(5): 1930-1964 (2022) - Yunhui He:
Optimal smoothing factor with coarsening by three for the MAC scheme for the Stokes equations. CoRR abs/2203.04474 (2022) - 2021
- Joseph Bakarji, Daniel M. Tartakovsky:
Data-driven discovery of coarse-grained equations. J. Comput. Phys. 434: 110219 (2021) - Stuart Patching:
On Divergence- and Gradient-Preserving Coarse-Graining for Finite Volume Primitive Equation Ocean Models. CoRR abs/2107.05577 (2021) - 2020
- Gernot Schaller, Julian Ablaßmayer:
Thermodynamics of the Coarse-Graining Master Equation. Entropy 22(5): 525 (2020) - Carsten Hartmann, Lara Neureither, Upanshu Sharma:
Coarse Graining of Nonreversible Stochastic Differential Equations: Quantitative Results and Connections to Averaging. SIAM J. Math. Anal. 52(3): 2689-2733 (2020) - Fande Kong, Yaqi Wang, Derek R. Gaston, Cody J. Permann, Andrew E. Slaughter, Alexander D. Lindsay, Mark DeHart, Richard C. Martineau:
A Highly Parallel Multilevel Newton-Krylov-Schwarz Method with Subspace-Based Coarsening and Partition-Based Balancing for the Multigroup Neutron Transport Equation on Three-Dimensional Unstructured Meshes. SIAM J. Sci. Comput. 42(5): C193-C220 (2020) - Joseph Bakarji, Daniel M. Tartakovsky:
Data-Driven Discovery of Coarse-Grained Equations. CoRR abs/2002.00790 (2020) - 2019
- Alexander J. M. Howse, Hans De Sterck, Robert D. Falgout, Scott P. MacLachlan, Jacob B. Schroder:
Parallel-In-Time Multigrid with Adaptive Spatial Coarsening for The Linear Advection and Inviscid Burgers Equations. SIAM J. Sci. Comput. 41(1): A538-A565 (2019) - Fande Kong, Yaqi Wang, Derek R. Gaston, Cody J. Permann, Andrew E. Slaughter, Alexander D. Lindsay, Richard C. Martineau:
A highly parallel multilevel Newton-Krylov-Schwarz method with subspace-based coarsening and partition-based balancing for the multigroup neutron transport equations on 3D unstructured meshes. CoRR abs/1903.03659 (2019) - Philip A. Etter, Yuwei Fan, Lexing Ying:
Coarse-Proxy Reduced Basis Methods for Integral Equations. CoRR abs/1911.05331 (2019) - 2018
- Lijian Jiang, Na Ou:
Bayesian Inference Using Intermediate Distribution Based on Coarse Multiscale Model for Time Fractional Diffusion Equations. Multiscale Model. Simul. 16(1): 327-355 (2018) - 2016
- Shibin Dai, Qiang Du:
Computational studies of coarsening rates for the Cahn-Hilliard equation with phase-dependent diffusion mobility. J. Comput. Phys. 310: 85-108 (2016) - 2015
- Huangxin Chen, Haijun Wu, Xuejun Xu:
Multilevel Preconditioner with Stable Coarse Grid Corrections for the Helmholtz Equation. SIAM J. Sci. Comput. 37(1) (2015) - 2014
- Christian Marschler:
Coarse Analysis of Microscopic Models using Equation-Free Methods. Technical University of Denmark, 2014 - Shibin Dai, Qiang Du:
Coarsening Mechanism for Systems Governed by the Cahn-Hilliard Equation with Degenerate Diffusion Mobility. Multiscale Model. Simul. 12(4): 1870-1889 (2014) - Christiaan C. Stolk, Mostak Ahmed, Samir Kumar Bhowmik:
A Multigrid Method for the Helmholtz Equation with Optimized Coarse Grid Corrections. SIAM J. Sci. Comput. 36(6) (2014) - 2013
- Ruxin Dai, Yin Wang, Jun Zhang:
Fast and high accuracy multiscale multigrid method with multiple coarse grid updating strategy for the 3D convection-diffusion equation. Comput. Math. Appl. 66(4): 542-559 (2013) - Daniel Maurer, Christian Wieners:
A Highly Scalable Multigrid Method with Parallel Direct Coarse Grid Solver for Maxwell's Equations. High Performance Computing in Science and Engineering 2013: 671-677 - 2012
- Katherine A. Bold, Karthikeyan Rajendran, Balázs Ráth, Ioannis G. Kevrekidis:
An equation-free approach to coarse-graining the dynamics of networks. CoRR abs/1202.5618 (2012)
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