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ORCIDChi-Wang Shu
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- affiliation: Brown University, Division of Applied Mathematics, USA
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2020 – today
- 2026
[j266]Fengyu Fu, Chi-Wang Shu, Qi Tao:
The ultraweak-local discontinuous Galerkin method for extended Fisher-Kolmogorov equations. J. Comput. Appl. Math. 475: 117023 (2026)- 2025
- [j265]Kaichang Yu, Juan Cheng, Yuanyuan Liu, Chi-Wang Shu:
High-order implicit maximum-principle-preserving local discontinuous Galerkin methods for convection-diffusion equations. J. Comput. Appl. Math. 470: 116660 (2025) - [j264]Wenjing Feng, Juan Cheng
, Chi-Wang Shu:
Second order conservative Lagrangian DG schemes for compressible flow and their application in preserving spherical symmetry in two-dimensional cylindrical geometry. J. Comput. Phys. 521: 113530 (2025) - [j263]Yan Tan, Jun Zhu, Chi-Wang Shu, Jianxian Qiu:
Letter to Editor: Regarding the numerical results in "A novel finite-difference converged ENO scheme for steady-state simulations of Euler equations", by Tian Liang and Lin Fu, Journal of Computational Physics, 519 (2024), 113386. J. Comput. Phys. 522: 113620 (2025) - [j262]Meiqi Tan, Juan Cheng, Chi-Wang Shu:
High order finite difference scheme with explicit-implicit-null time-marching for the compressible Navier-Stokes equations. J. Comput. Phys. 523: 113626 (2025) - [j261]Yong Liu, Jianfang Lu, Chi-Wang Shu:
An entropy stable essentially oscillation-free discontinuous Galerkin method for solving ideal magnetohydrodynamic equations. J. Comput. Phys. 530: 113911 (2025) - [j260]Tianjiao Li, Juan Cheng, Chi-Wang Shu:
A two-stage two-derivative fourth order positivity-preserving discontinuous Galerkin method for hyperbolic conservation laws. J. Comput. Phys. 530: 113912 (2025) - [j259]Zepeng Liu, Yan Jiang, Chi-Wang Shu, Mengping Zhang:
High-order inverse Lax-Wendroff procedure for compressible fluid-structure interaction problems. J. Comput. Phys. 531: 113942 (2025) - [j258]Yue Wu, Chi-Wang Shu:
Finite difference alternative WENO schemes with Riemann invariant-based local characteristic decompositions for compressible Euler equations. J. Comput. Phys. 537: 114104 (2025) - [j257]Chao Zhang, Nuo Lei, Juan Cheng, Chi-Wang Shu:
Interface preserving mesh optimization method for multi-material simulations. J. Comput. Phys. 543: 114389 (2025) - [j256]Yuan Xu, Xiong Meng, Chi-Wang Shu, Qiang Zhang:
Optimal Error Estimate of a Discontinuous Galerkin Method for One-Dimensional Linear Hyperbolic Equation with Degenerate Points Moving Along Space-Time Curves. J. Sci. Comput. 103(3): 97 (2025) - [j255]Yuanzhe Wei, Chi-Wang Shu:
L2-Stability Of Explicit Second Order Runge-Kutta Discontinuous Galerkin Method For Nonlinear Conservation Laws. J. Sci. Comput. 105(1): 12 (2025) - [j254]Chang Chen, Chi-Wang Shu:
A Second-Order Bound-Preserving Exponential Scheme for Degenerate Parabolic Equations. SIAM J. Sci. Comput. 47(2): 713- (2025) - [i29]Yue Wu, Chi-Wang Shu:
Finite difference alternative WENO schemes with Riemann invariant-based local characteristic decompositions for compressible Euler equations. CoRR abs/2502.08043 (2025) - [i28]Kun Huang, Irene M. Gamba, Chi-Wang Shu:
A structure-preserving multiscale solver for particle-wave interaction in non-uniform magnetized plasmas. CoRR abs/2505.20210 (2025) - [i27]Nuo Lei, Juan Cheng, Chi-Wang Shu:
A high-order, conservative and positivity-preserving intersection-based remapping method between meshes with isoparametric curvilinear cells. CoRR abs/2506.18389 (2025) - [i26]Dinshaw S. Balsara, Deepak Bhoriya, Chi-Wang Shu:
An Alternative Finite Difference WENO-like Scheme with Physical Constraint Preservation for Divergence-Preserving Hyperbolic Systems. CoRR abs/2506.22312 (2025) - 2024
- [j253]Juan Cheng, Nuo Lei, Chi-Wang Shu:
High order conservative Lagrangian scheme for three-temperature radiation hydrodynamics. J. Comput. Phys. 496: 112595 (2024) - [j252]Nuo Lei, Juan Cheng, Chi-Wang Shu:
High order conservative Lagrangian schemes for two-dimensional radiation hydrodynamics equations in the equilibrium-diffusion limit. J. Comput. Phys. 503: 112840 (2024) - [j251]Boyang Ye, Jingwei Hu, Chi-Wang Shu, Xinghui Zhong:
Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system with Dougherty-Fokker-Planck collision operator. J. Comput. Phys. 514: 113219 (2024) - [j250]Shihao Liu, Tingting Li, Ziqiang Cheng, Yan Jiang, Chi-Wang Shu, Mengping Zhang:
A new type of simplified inverse Lax-Wendroff boundary treatment I: Hyperbolic conservation laws. J. Comput. Phys. 514: 113259 (2024) - [j249]Juan Cheng, Chi-Wang Shu:
High order conservative finite difference WENO scheme for three-temperature radiation hydrodynamics. J. Comput. Phys. 517: 113304 (2024) - [j248]Yuan Xu, Chi-Wang Shu, Qiang Zhang:
Stability Analysis and Error Estimate of the Explicit Single-Step Time-Marching Discontinuous Galerkin Methods with Stage-Dependent Numerical Flux Parameters for a Linear Hyperbolic Equation in One Dimension. J. Sci. Comput. 100(3): 64 (2024) - [j247]Ziyao Xu, Chi-Wang Shu:
A High-Order Well-Balanced Discontinuous Galerkin Method for Hyperbolic Balance Laws Based on the Gauss-Lobatto Quadrature Rules. J. Sci. Comput. 101(2): 39 (2024) - [j246]Haijin Wang, Qiang Zhang, Chi-Wang Shu:
Correction to: Implicit-Explicit Local Discontinuous Galerkin Methods with Generalized Alternating Numerical Fluxes for Convection-Diffusion Problems. J. Sci. Comput. 101(3): 59 (2024) - [j245]Fengyu Fu, Chi-Wang Shu, Qi Tao, Boying Wu:
Analysis of the boundary conditions for the ultraweak-local discontinuous Galerkin method of time-dependent linear fourth-order problems. Math. Comput. 94(351): 123-158 (2024) - [j244]Qi Tao, Xiang-Ke Chang, Yong Liu, Chi-Wang Shu:
A local discontinuous Galerkin method for the Novikov equation. Math. Comput. 94(354): 1603-1631 (2024) - [j243]Haijin Wang, Qi Tao, Chi-Wang Shu, Qiang Zhang:
Analysis of Local Discontinuous Galerkin Methods with Implicit-Explicit Time Marching for Linearized KdV Equations. SIAM J. Numer. Anal. 62(5): 2222-2248 (2024) - [j242]Yong Liu, Jianfang Lu, Chi-Wang Shu:
An Entropy Stable Essentially Oscillation-Free Discontinuous Galerkin Method for Hyperbolic Conservation Laws. SIAM J. Sci. Comput. 46(2): 1132- (2024) - [j241]Ziyao Xu, Chi-Wang Shu:
Local Characteristic Decomposition-Free High-Order Finite Difference WENO Schemes for Hyperbolic Systems Endowed with a Coordinate System of Riemann Invariants. SIAM J. Sci. Comput. 46(2): 1352- (2024) - [i25]Shihao Liu, Tingting Li, Ziqiang Cheng, Yan Jiang, Chi-Wang Shu, Mengping Zhang:
A new type of simplified inverse Lax-Wendroff boundary treatment I: hyperbolic conservation laws. CoRR abs/2402.10152 (2024) - [i24]Adi Ditkowski, Anne Le Blanc, Chi-Wang Shu:
A high order, block finite difference, error inhibiting scheme for the transport equation. CoRR abs/2402.11617 (2024) - [i23]Dinshaw S. Balsara, Deepak Bhoriya, Chi-Wang Shu, Harish Kumar:
Efficient Alternative Finite Difference WENO Schemes for Hyperbolic Conservation Laws. CoRR abs/2403.01264 (2024) - [i22]Dinshaw S. Balsara, Deepak Bhoriya, Chi-Wang Shu, Harish Kumar:
Efficient Alternative Finite Difference WENO Schemes for Hyperbolic Systems with Non-Conservative Products. CoRR abs/2403.01266 (2024) - [i21]Pep Mulet, Juan Ruiz-Álvarez, Chi-Wang Shu, Dionisio F. Yáñez:
A non-separable progressive multivariate WENO-2r point value. CoRR abs/2404.16694 (2024) - [i20]Adi Ditkowski, Anne Le Blanc, Chi-Wang Shu:
Error Inhibiting Methods for Finite Elements. CoRR abs/2407.03338 (2024) - 2023
- [j240]Liangze Yang, Sze Chun Wong, H. W. Ho, Chi-Wang Shu, Mengping Zhang:
Bilevel optimization of a housing allocation and traffic emission problem in a predictive dynamic continuum transportation system. Comput. Aided Civ. Infrastructure Eng. 38(18): 2576-2596 (2023) - [j239]Dan Ling, Chi-Wang Shu, Wenjing Yan:
Local discontinuous Galerkin methods for diffusive-viscous wave equations. J. Comput. Appl. Math. 419: 114690 (2023) - [j238]Siting Liu, Stanley J. Osher, Wuchen Li, Chi-Wang Shu:
A primal-dual approach for solving conservation laws with implicit in time approximations. J. Comput. Phys. 472: 111654 (2023) - [j237]Shihao Liu, Yan Jiang, Chi-Wang Shu, Mengping Zhang, Shuhai Zhang:
A high order moving boundary treatment for convection-diffusion equations. J. Comput. Phys. 473: 111752 (2023) - [j236]Xiaolu Gu, Yue Li, Juan Cheng, Chi-Wang Shu:
A high order positivity-preserving conservative WENO remapping method based on a moving mesh solver. J. Comput. Phys. 473: 111754 (2023) - [j235]Nuo Lei, Juan Cheng, Chi-Wang Shu:
A high order positivity-preserving polynomial projection remapping method. J. Comput. Phys. 474: 111826 (2023) - [j234]Hans De Sterck, Chi-Wang Shu, Rémi Abgrall:
Enhancing reproducibility of research papers in SISC, JSC and JCP. J. Comput. Phys. 484: 112088 (2023) - [j233]Ziyao Xu, Chi-Wang Shu:
On the conservation property of positivity-preserving discontinuous Galerkin methods for stationary hyperbolic equations. J. Comput. Phys. 490: 112304 (2023) - [j232]Rafael B. de R. Borges, Flávio C. Colman, Nicholas D. P. da Silva, Gabriela W. O. Dicati, José E. Gubaua, Chi-Wang Shu:
Approximated decompositions for computational continuum mechanics. J. Comput. Phys. 495: 112576 (2023) - [j231]Hans De Sterck, Chi-Wang Shu, Rémi Abgrall:
Enhancing Reproducibility of Research Papers in SISC, JSC and JCP. J. Sci. Comput. 95(3): 77 (2023) - [j230]Hans De Sterck, Chi-Wang Shu, Rémi Abgrall:
Correction to: Enhancing Reproducibility of Research Papers in SISC, JSC and JCP. J. Sci. Comput. 95(3): 86 (2023) - [j229]Haijin Wang, Fengyan Li, Chi-Wang Shu, Qiang Zhang:
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation. Math. Comput. 92(344): 2475-2513 (2023) - [j228]Kailiang Wu, Haili Jiang, Chi-Wang Shu:
Provably Positive Central Discontinuous Galerkin Schemes via Geometric Quasilinearization for Ideal MHD Equations. SIAM J. Numer. Anal. 61(1): 250-285 (2023) - [j227]Kailiang Wu, Chi-Wang Shu:
Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes. SIAM Rev. 65(4): 1031-1073 (2023) - [j226]Hans De Sterck, Chi-Wang Shu, Rémi Abgrall:
Enhancing Reproducibility of Research Papers in SISC, JSC, and JCP. SIAM J. Sci. Comput. 45(4): vii (2023) - [i19]Dinshaw S. Balsara, Deepak Bhoriya, Chi-Wang Shu, Harish Kumar:
Efficient Finite Difference WENO Scheme for Hyperbolic Systems with Non-Conservative Products. CoRR abs/2303.17672 (2023) - 2022
- [j225]Jichun Li, Chi-Wang Shu, Wei Yang:
Development and analysis of two new finite element schemes for a time-domain carpet cloak model. Adv. Comput. Math. 48(3): 24 (2022) - [j224]Sergio Amat, Juan Ruiz-Álvarez, Chi-Wang Shu, Dionisio F. Yáñez:
On the approximation of derivative values using a WENO algorithm with progressive order of accuracy close to discontinuities. Comput. Appl. Math. 41(6) (2022) - [j223]Tingting Li, Jianfang Lu, Chi-Wang Shu:
Stability analysis of inverse Lax-Wendroff boundary treatment of high order compact difference schemes for parabolic equations. J. Comput. Appl. Math. 400: 113711 (2022) - [j222]Nuo Lei, Juan Cheng, Chi-Wang Shu:
High order entropy stable and positivity-preserving discontinuous Galerkin method for the nonlocal electron heat transport model. J. Comput. Phys. 454: 110945 (2022) - [j221]Jiawei Sun, Chi-Wang Shu, Yulong Xing:
Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise. J. Comput. Phys. 461: 111199 (2022) - [j220]Meiqi Tan, Juan Cheng, Chi-Wang Shu:
Stability of high order finite difference and local discontinuous Galerkin schemes with explicit-implicit-null time-marching for high order dissipative and dispersive equations. J. Comput. Phys. 464: 111314 (2022) - [j219]Ziyao Xu, Chi-Wang Shu:
High order conservative positivity-preserving discontinuous Galerkin method for stationary hyperbolic equations. J. Comput. Phys. 466: 111410 (2022) - [j218]Jie Du, Chi-Wang Shu, Xinghui Zhong:
An improved simple WENO limiter for discontinuous Galerkin methods solving hyperbolic systems on unstructured meshes. J. Comput. Phys. 467: 111424 (2022) - [j217]Ziyao Xu, Chi-Wang Shu:
Third order maximum-principle-satisfying and positivity-preserving Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws. J. Comput. Phys. 470: 111591 (2022) - [j216]Xinghui Zhong, Chi-Wang Shu:
Entropy Stable Galerkin Methods with Suitable Quadrature Rules for Hyperbolic Systems with Random Inputs. J. Sci. Comput. 92(1): 14 (2022) - [j215]Jingqi Ai, Yuan Xu, Chi-Wang Shu, Qiang Zhang:
L$^2$ Error Estimate to Smooth Solutions of High Order Runge-Kutta Discontinuous Galerkin Method for Scalar Nonlinear Conservation Laws with and without Sonic Points. SIAM J. Numer. Anal. 60(4): 1741-1773 (2022) - [j214]Yong Liu, Jianfang Lu, Chi-Wang Shu:
An Essentially Oscillation-Free Discontinuous Galerkin Method for Hyperbolic Systems. SIAM J. Sci. Comput. 44(1): 230- (2022) - [j213]Liangze Yang, Sze Chun Wong, H. W. Ho, Mengping Zhang, Chi-Wang Shu:
Effects of Air Quality on Housing Location: A Predictive Dynamic Continuum User-Optimal Approach. Transp. Sci. 56(5): 1111-1134 (2022) - [i18]Jiayin Li, Chi-Wang Shu, Jianxian Qiu:
Moment-based multi-resolution HWENO scheme for hyperbolic conservation laws. CoRR abs/2201.12193 (2022) - [i17]Kailiang Wu, Haili Jiang, Chi-Wang Shu:
Provably Positive Central DG Schemes via Geometric Quasilinearization for Ideal MHD Equations. CoRR abs/2203.14853 (2022) - [i16]Jiawei Sun, Chi-Wang Shu, Yulong Xing:
Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise. CoRR abs/2204.09632 (2022) - [i15]Juntao Huang, Thomas Izgin, Stefan Kopecz, Andreas Meister, Chi-Wang Shu:
On the stability of strong-stability-preserving modified Patankar Runge-Kutta schemes. CoRR abs/2205.01488 (2022) - [i14]Siting Liu, Stanley J. Osher, Wuchen Li, Chi-Wang Shu:
A primal-dual approach for solving conservation laws with implicit in time approximations. CoRR abs/2207.07234 (2022) - 2021
- [j212]Sergio Amat, Juan Ruiz-Álvarez, Chi-Wang Shu, Dionisio F. Yáñez:
Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing. Appl. Math. Comput. 403: 126131 (2021) - [j211]Qi Tao, Yan Xu, Chi-Wang Shu:
A discontinuous Galerkin method and its error estimate for nonlinear fourth-order wave equations. J. Comput. Appl. Math. 386: 113230 (2021) - [j210]Jianfang Lu, Chi-Wang Shu, Sirui Tan, Mengping Zhang:
An inverse Lax-Wendroff procedure for hyperbolic conservation laws with changing wind direction on the boundary. J. Comput. Phys. 426: 109940 (2021) - [j209]Yun-Long Liu, Chi-Wang Shu, A-Man Zhang:
Weighted ghost fluid discontinuous Galerkin method for two-medium problems. J. Comput. Phys. 426: 109956 (2021) - [j208]Feng Zheng, Chi-Wang Shu, Jianxian Qiu:
A high order conservative finite difference scheme for compressible two-medium flows. J. Comput. Phys. 445: 110597 (2021) - [j207]Jiayin Li, Chi-Wang Shu, Jianxian Qiu:
Multi-resolution HWENO schemes for hyperbolic conservation laws. J. Comput. Phys. 446: 110653 (2021) - [j206]Kailiang Wu, Chi-Wang Shu:
Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations. Numerische Mathematik 148(3): 699-741 (2021) - [j205]Jianfang Lu, Yong Liu, Chi-Wang Shu:
An Oscillation-free Discontinuous Galerkin Method for Scalar Hyperbolic Conservation Laws. SIAM J. Numer. Anal. 59(3): 1299-1324 (2021) - [i13]Qian Zhang, Yan Xu, Chi-Wang Shu:
Dissipative and conservative local discontinuous Galerkin methods for the Fornberg-Whitham type equations. CoRR abs/2103.14352 (2021) - [i12]Jiawei Sun, Chi-Wang Shu, Yulong Xing:
Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise. CoRR abs/2110.04826 (2021) - [i11]Kailiang Wu, Chi-Wang Shu:
Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes. CoRR abs/2111.04722 (2021) - 2020
- [j204]Chi-Wang Shu:
Essentially non-oscillatory and weighted essentially non-oscillatory schemes. Acta Numer. 29: 701-762 (2020) - [j203]Sergio Amat, Juan Ruiz, Chi-Wang Shu:
On a new WENO algorithm of order 2r with improved accuracy close to discontinuities. Appl. Math. Lett. 105: 106298 (2020) - [j202]Jun Zhu, Jianxian Qiu, Chi-Wang Shu:
High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters. J. Comput. Phys. 404 (2020) - [j201]Jun Zhu, Chi-Wang Shu:
A new type of third-order finite volume multi-resolution WENO schemes on tetrahedral meshes. J. Comput. Phys. 406: 109212 (2020) - [j200]Shengrong Ding, Chi-Wang Shu, Mengping Zhang:
On the conservation of finite difference WENO schemes in non-rectangular domains using the inverse Lax-Wendroff boundary treatments. J. Comput. Phys. 415: 109516 (2020) - [j199]Juan Cheng, Chi-Wang Shu, Peng Song:
High order conservative Lagrangian schemes for one-dimensional radiation hydrodynamics equations in the equilibrium-diffusion limit. J. Comput. Phys. 421: 109724 (2020) - [j198]Yunzhang Li, Chi-Wang Shu, Shanjian Tang:
An Ultra-Weak Discontinuous Galerkin Method with Implicit-Explicit Time-Marching for Generalized Stochastic KdV Equations. J. Sci. Comput. 82(3): 61 (2020) - [j197]Yuan Xu, Xiong Meng, Chi-Wang Shu, Qiang Zhang:
Superconvergence Analysis of the Runge-Kutta Discontinuous Galerkin Methods for a Linear Hyperbolic Equation. J. Sci. Comput. 84(1): 23 (2020) - [j196]José A. Carrillo, Serafim Kalliadasis, Sergio P. Perez, Chi-Wang Shu:
Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations with General Free Energy. Multiscale Model. Simul. 18(1): 502-541 (2020) - [j195]Qi Tao, Yan Xu, Chi-Wang Shu:
An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives. Math. Comput. 89(326): 2753-2783 (2020) - [j194]Haitao Fan, Chi-Wang Shu:
Existence and Computation of Solutions of a Model of Traffic Involving Hysteresis. SIAM J. Appl. Math. 80(6): 2319-2337 (2020) - [j193]Yuan Xu, Chi-Wang Shu, Qiang Zhang:
Error Estimate of the Fourth-Order Runge-Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations. SIAM J. Numer. Anal. 58(5): 2885-2914 (2020) - [j192]Sergio Amat, Juan Ruiz, Chi-Wang Shu, Dionisio F. Yáñez:
A New WENO-2r Algorithm with Progressive Order of Accuracy Close to Discontinuities. SIAM J. Numer. Anal. 58(6): 3448-3474 (2020) - [j191]Yunzhang Li, Chi-Wang Shu, Shanjian Tang:
A Discontinuous Galerkin Method for Stochastic Conservation Laws. SIAM J. Sci. Comput. 42(1): A54-A86 (2020) - [j190]Kailiang Wu, Chi-Wang Shu:
Entropy Symmetrization and High-Order Accurate Entropy Stable Numerical Schemes for Relativistic MHD Equations. SIAM J. Sci. Comput. 42(4): A2230-A2261 (2020) - [p1]Chi-Wang Shu:
A class of bound-preserving high order schemes: The main ideas and recent developments. 75 Years of Mathematics of Computation 2020 - [e1]Susanne C. Brenner, Igor E. Shparlinski, Chi-Wang Shu, Daniel B. Szyld:
75 Years of Mathematics of Computation. Contemporary Mathematics 754, American Mathematical Society 2020, ISBN 978-1-4704-5163-9 [contents] - [i10]Zheng Sun, Chi-Wang Shu:
Error analysis of Runge-Kutta discontinuous Galerkin methods for linear time-dependent partial differential equations. CoRR abs/2001.00971 (2020) - [i9]Yong Liu, Chi-Wang Shu, Mengping Zhang:
Sub-optimal convergence of discontinuous Galerkin methods with central fluxes for even degree polynomial approximations. CoRR abs/2001.03825 (2020) - [i8]Kailiang Wu, Chi-Wang Shu:
Provably Physical-Constraint-Preserving Discontinuous Galerkin Methods for Multidimensional Relativistic MHD Equations. CoRR abs/2002.03371 (2020) - [i7]Qi Tao, Yan Xu, Chi-Wang Shu:
An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives. CoRR abs/2003.05798 (2020) - [i6]Sergio Amat, Juan Ruiz, Chi-Wang Shu, Dionisio F. Yáñez:
A new WENO-2r algorithm with progressive order of accuracy close to discontinuities. CoRR abs/2005.06747 (2020) - [i5]Sergio Amat, Juan Ruiz, Chi-Wang Shu, Dionisio F. Yáñez:
Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing. CoRR abs/2009.09476 (2020) - [i4]Adi Ditkowski, Anne Le Blanc, Chi-Wang Shu:
Error Inhibiting Methods for Finite Elements. CoRR abs/2011.14411 (2020)
2010 – 2019
- 2019
- [j189]Guosheng Fu, Chi-Wang Shu:
An energy-conserving ultra-weak discontinuous Galerkin method for the generalized Korteweg-de Vries equation. J. Comput. Appl. Math. 349: 41-51 (2019) - [j188]Jun Zhu, Chi-Wang Shu:
A new type of multi-resolution WENO schemes with increasingly higher order of accuracy on triangular meshes. J. Comput. Phys. 392: 19-33 (2019) - [j187]Guosheng Fu, Chi-Wang Shu:
Optimal energy-conserving discontinuous Galerkin methods for linear symmetric hyperbolic systems. J. Comput. Phys. 394: 329-363 (2019) - [j186]Alireza Mazaheri, Chi-Wang Shu, Vincent Perrier:
Bounded and compact weighted essentially nonoscillatory limiters for discontinuous Galerkin schemes: Triangular elements. J. Comput. Phys. 395: 461-488 (2019) - [j185]Ziqiang Cheng, Jinwei Fang, Chi-Wang Shu, Mengping Zhang:
Assessment of aeroacoustic resolution properties of DG schemes and comparison with DRP schemes. J. Comput. Phys. 399 (2019) - [j184]Juntao Huang, Chi-Wang Shu:
Positivity-Preserving Time Discretizations for Production-Destruction Equations with Applications to Non-equilibrium Flows. J. Sci. Comput. 78(3): 1811-1839 (2019) - [j183]Juntao Huang, Weifeng Zhao, Chi-Wang Shu:
A Third-Order Unconditionally Positivity-Preserving Scheme for Production-Destruction Equations with Applications to Non-equilibrium Flows. J. Sci. Comput. 79(2): 1015-1056 (2019) - [j182]Yong Liu, Tianheng Chen, Yanlai Chen, Chi-Wang Shu:
Certified Offline-Free Reduced Basis (COFRB) Methods for Stochastic Differential Equations Driven by Arbitrary Types of Noise. J. Sci. Comput. 81(3): 1210-1239 (2019) - [j181]Haijin Wang, Qiang Zhang, Chi-Wang Shu:
Implicit-Explicit Local Discontinuous Galerkin Methods with Generalized Alternating Numerical Fluxes for Convection-Diffusion Problems. J. Sci. Comput. 81(3): 2080-2114 (2019) - [j180]Haijin Wang, Yunxian Liu, Qiang Zhang, Chi-Wang Shu:
Local discontinuous Galerkin methods with implicit-explicit time-marching for time-dependent incompressible fluid flow. Math. Comput. 88(315): 91-121 (2019) - [j179]Kailiang Wu, Chi-Wang Shu:
Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes. Numerische Mathematik 142(4): 995-1047 (2019) - [j178]Zheng Sun, Chi-Wang Shu:
Strong Stability of Explicit Runge-Kutta Time Discretizations. SIAM J. Numer. Anal. 57(3): 1158-1182 (2019) - [j177]Sergio Amat, Juan Ruiz, Chi-Wang Shu:
On New Strategies to Control the Accuracy of WENO Algorithms Close to Discontinuities. SIAM J. Numer. Anal. 57(3): 1205-1237 (2019) - [j176]Yuan Xu, Qiang Zhang, Chi-Wang Shu, Haijin Wang:
The L2-norm Stability Analysis of Runge-Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations. SIAM J. Numer. Anal. 57(4): 1574-1601 (2019) - [i3]Kailiang Wu, Chi-Wang Shu:
Entropy Symmetrization and High-Order Accurate Entropy Stable Numerical Schemes for Relativistic MHD Equations. CoRR abs/1907.07467 (2019) - [i2]Zheng Sun, Chi-Wang Shu:
Enforcing strong stability of explicit Runge-Kutta methods with superviscosity. CoRR abs/1912.11596 (2019) - 2018
- [j175]Cengke Shi, Jichun Li, Chi-Wang Shu:
Discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials on unstructured meshes. J. Comput. Appl. Math. 342: 147-163 (2018) - [j174]Haijin Wang, Qiang Zhang, Chi-Wang Shu:
Third order implicit-explicit Runge-Kutta local discontinuous Galerkin methods with suitable boundary treatment for convection-diffusion problems with Dirichlet boundary conditions. J. Comput. Appl. Math. 342: 164-179 (2018) - [j173]Zheng Sun, José A. Carrillo, Chi-Wang Shu:
A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials. J. Comput. Phys. 352: 76-104 (2018) - [j172]Yong Liu, Chi-Wang Shu, Mengping Zhang:
Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes. J. Comput. Phys. 354: 163-178 (2018) - [j171]Juntao Huang, Chi-Wang Shu:
Bound-preserving modified exponential Runge-Kutta discontinuous Galerkin methods for scalar hyperbolic equations with stiff source terms. J. Comput. Phys. 361: 111-135 (2018) - [j170]Jun Zhu, Chi-Wang Shu:
A new type of multi-resolution WENO schemes with increasingly higher order of accuracy. J. Comput. Phys. 375: 659-683 (2018) - [j169]Yanlai Chen, Bo Dong, Chi-Wang Shu:
A Foreword to the Special Issue in Honor of Professor Bernardo Cockburn on His 60th Birthday: A Life Time of Discontinuous Schemings. J. Sci. Comput. 77(3): 1303-1309 (2018) - [j168]Dan Ling, Juan Cheng, Chi-Wang Shu:
Conservative High Order Positivity-Preserving Discontinuous Galerkin Methods for Linear Hyperbolic and Radiative Transfer Equations. J. Sci. Comput. 77(3): 1801-1831 (2018) - [j167]Yong Liu, Chi-Wang Shu, Mengping Zhang:
Optimal Error Estimates of the Semidiscrete Central Discontinuous Galerkin Methods for Linear Hyperbolic Equations. SIAM J. Numer. Anal. 56(1): 520-541 (2018) - [j166]Waixiang Cao, Chi-Wang Shu, Yang Yang, Zhimin Zhang:
Superconvergence of Discontinuous Galerkin Method for Scalar Nonlinear Hyperbolic Equations. SIAM J. Numer. Anal. 56(2): 732-765 (2018) - [j165]Tong Qin, Chi-Wang Shu:
Implicit Positivity-Preserving High-Order Discontinuous Galerkin Methods for Conservation Laws. SIAM J. Sci. Comput. 40(1) (2018) - [j164]Kailiang Wu, Chi-Wang Shu:
A Provably Positive Discontinuous Galerkin Method for Multidimensional Ideal Magnetohydrodynamics. SIAM J. Sci. Comput. 40(5): B1302-B1329 (2018) - 2017
- [j163]Jichun Li, Cengke Shi, Chi-Wang Shu:
Optimal non-dissipative discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials. Comput. Math. Appl. 73(8): 1760-1780 (2017) - [j162]Hua Shen, Chih-Yung Wen, Matteo Parsani, Chi-Wang Shu:
Maximum-principle-satisfying space-time conservation element and solution element scheme applied to compressible multifluids. J. Comput. Phys. 330: 668-692 (2017) - [j161]Feng Zheng, Chi-Wang Shu, Jianxian Qiu:
Finite difference Hermite WENO schemes for the Hamilton-Jacobi equations. J. Comput. Phys. 337: 27-41 (2017) - [j160]Tianheng Chen, Chi-Wang Shu:
Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws. J. Comput. Phys. 345: 427-461 (2017) - [j159]Guosheng Fu, Chi-Wang Shu:
A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws. J. Comput. Phys. 347: 305-327 (2017) - [j158]Jun Zhu, Chi-Wang Shu:
Numerical study on the convergence to steady state solutions of a new class of high order WENO schemes. J. Comput. Phys. 349: 80-96 (2017) - [j157]Tingting Li, Chi-Wang Shu, Mengping Zhang:
Stability Analysis of the Inverse Lax-Wendroff Boundary Treatment for High Order Central Difference Schemes for Diffusion Equations. J. Sci. Comput. 70(2): 576-607 (2017) - [j156]Xingjie Helen Li, Chi-Wang Shu, Yang Yang:
Local Discontinuous Galerkin Method for the Keller-Segel Chemotaxis Model. J. Sci. Comput. 73(2-3): 943-967 (2017) - [j155]Yuan Liu, Yingda Cheng, Chi-Wang Shu:
A Simple Bound-Preserving Sweeping Technique for Conservative Numerical Approximations. J. Sci. Comput. 73(2-3): 1028-1071 (2017) - [j154]Huailing Song, Chi-Wang Shu:
Unconditional Energy Stability Analysis of a Second Order Implicit-Explicit Local Discontinuous Galerkin Method for the Cahn-Hilliard Equation. J. Sci. Comput. 73(2-3): 1178-1203 (2017) - [j153]Qingyuan Liu, Chi-Wang Shu, Mengping Zhang:
Discontinuous Galerkin Methods for Weakly Coupled Hyperbolic MultiDomain Problems. SIAM J. Sci. Comput. 39(5) (2017) - 2016
- [j152]Haijin Wang, Chi-Wang Shu, Qiang Zhang:
Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for nonlinear convection-diffusion problems. Appl. Math. Comput. 272: 237-258 (2016) - [j151]Tingting Li, Chi-Wang Shu, Mengping Zhang:
Stability analysis of the inverse Lax-Wendroff boundary treatment for high order upwind-biased finite difference schemes. J. Comput. Appl. Math. 299: 140-158 (2016) - [j150]François Vilar, Chi-Wang Shu, Pierre-Henri Maire:
Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: From first-order to high-orders. Part I: The one-dimensional case. J. Comput. Phys. 312: 385-415 (2016) - [j149]François Vilar, Chi-Wang Shu, Pierre-Henri Maire:
Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: From first-order to high-orders. Part II: The two-dimensional case. J. Comput. Phys. 312: 416-442 (2016) - [j148]Tong Qin, Chi-Wang Shu, Yang Yang:
Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics. J. Comput. Phys. 315: 323-347 (2016) - [j147]Chi-Wang Shu:
High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments. J. Comput. Phys. 316: 598-613 (2016) - [j146]Jianfang Lu, Jinwei Fang, Sirui Tan, Chi-Wang Shu, Mengping Zhang:
Inverse Lax-Wendroff procedure for numerical boundary conditions of convection-diffusion equations. J. Comput. Phys. 317: 276-300 (2016) - [j145]Dinshaw S. Balsara, Sudip Garain, Chi-Wang Shu:
An efficient class of WENO schemes with adaptive order. J. Comput. Phys. 326: 780-804 (2016) - [j144]Bo Dong, Chi-Wang Shu, Wei Wang:
A New Multiscale Discontinuous Galerkin Method for the One-Dimensional Stationary Schrödinger Equation. J. Sci. Comput. 66(1): 321-345 (2016) - [j143]Xiong Meng, Chi-Wang Shu, Boying Wu:
Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations. Math. Comput. 85(299): 1225-1261 (2016) - [j142]Olivier Bokanowski, Yingda Cheng, Chi-Wang Shu:
Convergence of discontinuous Galerkin schemes for front propagation with obstacles. Math. Comput. 85(301): 2131-2159 (2016) - [j141]Jie Du, Chi-Wang Shu:
A High Order Stable Conservative Method for Solving Hyperbolic Conservation Laws on Arbitrarily Distributed Point Clouds. SIAM J. Sci. Comput. 38(5) (2016) - [j140]Daming Yuan, Juan Cheng, Chi-Wang Shu:
High Order Positivity-Preserving Discontinuous Galerkin Methods for Radiative Transfer Equations. SIAM J. Sci. Comput. 38(5) (2016) - 2015
- [j139]Xuliang Liu, Shuhai Zhang, Hanxin Zhang, Chi-Wang Shu:
A new class of central compact schemes with spectral-like resolution II: Hybrid weighted nonlinear schemes. J. Comput. Phys. 284: 133-154 (2015) - [j138]Cheng Wang, Xinzhuang Dong, Chi-Wang Shu:
Parallel adaptive mesh refinement method based on WENO finite difference scheme for the simulation of multi-dimensional detonation. J. Comput. Phys. 298: 161-175 (2015) - [j137]Zheng Chen, Chi-Wang Shu:
Recovering Exponential Accuracy in Fourier Spectral Methods Involving Piecewise Smooth Functions with Unbounded Derivative Singularities. J. Sci. Comput. 65(3): 1145-1165 (2015) - [j136]Haijin Wang, Chi-Wang Shu, Qiang Zhang:
Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems. SIAM J. Numer. Anal. 53(1): 206-227 (2015) - [j135]Waixiang Cao, Chi-Wang Shu, Yang Yang, Zhimin Zhang:
Superconvergence of Discontinuous Galerkin Methods for Two-Dimensional Hyperbolic Equations. SIAM J. Numer. Anal. 53(4): 1651-1671 (2015) - [i1]José A. Morales Escalante, Irene M. Gamba, Yingda Cheng, Armando Majorana, Chi-Wang Shu, James R. Chelikowsky:
Discontinuous Galerkin Deterministic Solvers for a Boltzmann-Poisson Model of Hot Electron Transport by Averaged Empirical Pseudopotential Band Structures. CoRR abs/1512.05403 (2015) - 2014
- [j134]Zheng Chen, Chi-Wang Shu:
Recovering exponential accuracy from collocation point values of smooth functions with end-point singularities. J. Comput. Appl. Math. 265: 83-95 (2014) - [j133]Juan Cheng, Chi-Wang Shu:
Positivity-preserving Lagrangian scheme for multi-material compressible flow. J. Comput. Phys. 257: 143-168 (2014) - [j132]Ching-Shan Chou, Chi-Wang Shu, Yulong Xing:
Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media. J. Comput. Phys. 272: 88-107 (2014) - [j131]Juan Cheng, Chi-Wang Shu:
Second order symmetry-preserving conservative Lagrangian scheme for compressible Euler equations in two-dimensional cylindrical coordinates. J. Comput. Phys. 272: 245-265 (2014) - [j130]Yifan Zhang, Wei Wang, Johnny Guzmán, Chi-Wang Shu:
Multi-scale Discontinuous Galerkin Method for Solving Elliptic Problems with Curvilinear Unidirectional Rough Coefficients. J. Sci. Comput. 61(1): 42-60 (2014) - [j129]Olivier Bokanowski, Yingda Cheng, Chi-Wang Shu:
A discontinuous Galerkin scheme for front propagation with obstacles. Numerische Mathematik 126(1): 1-31 (2014) - [j128]Qiang Zhang, Chi-Wang Shu:
Error estimates for the third order explicit Runge-Kutta discontinuous Galerkin method for a linear hyperbolic equation in one-dimension with discontinuous initial data. Numerische Mathematik 126(4): 703-740 (2014) - 2013
- [j127]Xinghui Zhong, Chi-Wang Shu:
A simple weighted essentially nonoscillatory limiter for Runge-Kutta discontinuous Galerkin methods. J. Comput. Phys. 232(1): 397-415 (2013) - [j126]Yifan Zhang, Xiangxiong Zhang, Chi-Wang Shu:
Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection-diffusion equations on triangular meshes. J. Comput. Phys. 234: 295-316 (2013) - [j125]H. C. Yee, D. V. Kotov, Wei Wang, Chi-Wang Shu:
Spurious behavior of shock-capturing methods by the fractional step approach: Problems containing stiff source terms and discontinuities. J. Comput. Phys. 241: 266-291 (2013) - [j124]Xiangyu Hu, Nikolaus A. Adams, Chi-Wang Shu:
Positivity-preserving method for high-order conservative schemes solving compressible Euler equations. J. Comput. Phys. 242: 169-180 (2013) - [j123]Jun Zhu, Xinghui Zhong, Chi-Wang Shu, Jianxian Qiu:
Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes. J. Comput. Phys. 248: 200-220 (2013) - [j122]Xuliang Liu, Shuhai Zhang, Hanxin Zhang, Chi-Wang Shu:
A new class of central compact schemes with spectral-like resolution I: Linear schemes. J. Comput. Phys. 248: 235-256 (2013) - [j121]Wenrui Hao, Jonathan D. Hauenstein, Chi-Wang Shu, Andrew J. Sommese, Zhiliang Xu, Yong-Tao Zhang:
A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws. J. Comput. Phys. 250: 332-346 (2013) - [j120]H. C. Yee, D. V. Kotov, Wei Wang, Chi-Wang Shu:
Corrigendum to "Spurious behavior of shock-capturing methods by the fractional step approach: Problems containing stiff source terms and discontinuities" [J. Comput. Physics 241 (2013) 266-291]. J. Comput. Phys. 250: 703-712 (2013) - [j119]Yang Yang, Dongming Wei, Chi-Wang Shu:
Discontinuous Galerkin method for Krause's consensus models and pressureless Euler equations. J. Comput. Phys. 252: 109-127 (2013) - [j118]Chi-Wang Shu:
Preface. J. Sci. Comput. 54(2-3): 245-246 (2013) - [j117]Yulong Xing, Chi-Wang Shu:
High Order Well-Balanced WENO Scheme for the Gas Dynamics Equations Under Gravitational Fields. J. Sci. Comput. 54(2-3): 645-662 (2013) - [j116]Yang Yang, Chi-Wang Shu:
Discontinuous Galerkin method for hyperbolic equations involving δ-singularities: negative-order norm error estimates and applications. Numerische Mathematik 124(4): 753-781 (2013) - [j115]Yan Jiang, Chi-Wang Shu, Mengping Zhang:
An Alternative Formulation of Finite Difference Weighted ENO Schemes with Lax-Wendroff Time Discretization for Conservation Laws. SIAM J. Sci. Comput. 35(2) (2013) - 2012
- [j114]Wei Wang, Chi-Wang Shu, H. C. Yee, Björn Sjögreen:
High order finite difference methods with subcell resolution for advection equations with stiff source terms. J. Comput. Phys. 231(1): 190-214 (2012) - [j113]Cheng Wang, Xiangxiong Zhang, Chi-Wang Shu, Jianguo Ning:
Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations. J. Comput. Phys. 231(2): 653-665 (2012) - [j112]Xiangxiong Zhang, Chi-Wang Shu:
Positivity-preserving high order finite difference WENO schemes for compressible Euler equations. J. Comput. Phys. 231(5): 2245-2258 (2012) - [j111]Sirui Tan, Cheng Wang, Chi-Wang Shu, Jianguo Ning:
Efficient implementation of high order inverse Lax-Wendroff boundary treatment for conservation laws. J. Comput. Phys. 231(6): 2510-2527 (2012) - [j110]Xiangxiong Zhang, Yinhua Xia, Chi-Wang Shu:
Maximum-Principle-Satisfying and Positivity-Preserving High Order Discontinuous Galerkin Schemes for Conservation Laws on Triangular Meshes. J. Sci. Comput. 50(1): 29-62 (2012) - [j109]Tao Xiong, Chi-Wang Shu, Mengping Zhang:
WENO Scheme with Subcell Resolution for Computing Nonconservative Euler Equations with Applications to One-Dimensional Compressible Two-Medium Flows. J. Sci. Comput. 53(1): 222-247 (2012) - [j108]Xiangxiong Zhang, Chi-Wang Shu:
A minimum entropy principle of high order schemes for gas dynamics equations. Numerische Mathematik 121(3): 545-563 (2012) - [j107]Yan Xu, Chi-Wang Shu:
Optimal Error Estimates of the Semidiscrete Local Discontinuous Galerkin Methods for High Order Wave Equations. SIAM J. Numer. Anal. 50(1): 79-104 (2012) - [j106]Xiong Meng, Chi-Wang Shu, Qiang Zhang, Boying Wu:
Superconvergence of Discontinuous Galerkin Methods for Scalar Nonlinear Conservation Laws in One Space Dimension. SIAM J. Numer. Anal. 50(5): 2336-2356 (2012) - [j105]Yang Yang, Chi-Wang Shu:
Analysis of Optimal Superconvergence of Discontinuous Galerkin Method for Linear Hyperbolic Equations. SIAM J. Numer. Anal. 50(6): 3110-3133 (2012) - [j104]Xiangxiong Zhang, Yuanyuan Liu, Chi-Wang Shu:
Maximum-principle-satisfying High Order Finite Volume Weighted Essentially Nonoscillatory Schemes for Convection-diffusion Equations. SIAM J. Sci. Comput. 34(2) (2012) - 2011
- [j103]Tao Xiong, Mengping Zhang, Chi-Wang Shu, Sze Chun Wong, Peng Zhang:
High-Order Computational Scheme for a Dynamic Continuum Model for Bi-Directional Pedestrian Flows. Comput. Aided Civ. Infrastructure Eng. 26(4): 298-310 (2011) - [j102]Rui Zhang, Mengping Zhang, Chi-Wang Shu:
High order positivity-preserving finite volume WENO schemes for a hierarchical size-structured population model. J. Comput. Appl. Math. 236(5): 937-949 (2011) - [j101]Jing-Mei Qiu, Chi-Wang Shu:
Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow. J. Comput. Phys. 230(4): 863-889 (2011) - [j100]Xiangxiong Zhang, Chi-Wang Shu:
Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms. J. Comput. Phys. 230(4): 1238-1248 (2011) - [j99]Wei Wang, H. C. Yee, Björn Sjögreen, Thierry E. Magin, Chi-Wang Shu:
Construction of low dissipative high-order well-balanced filter schemes for non-equilibrium flows. J. Comput. Phys. 230(11): 4316-4335 (2011) - [j98]Sirui Tan, Chi-Wang Shu:
A high order moving boundary treatment for compressible inviscid flows. J. Comput. Phys. 230(15): 6023-6036 (2011) - [j97]Zhiliang Xu, Yingjie Liu, Huijing Du, Guang Lin, Chi-Wang Shu:
Point-wise hierarchical reconstruction for discontinuous Galerkin and finite volume methods for solving conservation laws. J. Comput. Phys. 230(17): 6843-6865 (2011) - [j96]Jing-Mei Qiu, Chi-Wang Shu:
Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: Theoretical analysis and application to the Vlasov-Poisson system. J. Comput. Phys. 230(23): 8386-8409 (2011) - [j95]Shuhai Zhang, Shufen Jiang, Chi-Wang Shu:
Improvement of Convergence to Steady State Solutions of Euler Equations with the WENO Schemes. J. Sci. Comput. 47(2): 216-238 (2011) - [j94]Yulong Xing, Chi-Wang Shu, Sebastian Noelle:
On the Advantage of Well-Balanced Schemes for Moving-Water Equilibria of the Shallow Water Equations. J. Sci. Comput. 48(1-3): 339-349 (2011) - [j93]Chi-Wang Shu:
WENO methods. Scholarpedia 6(5): 9709 (2011) - [j92]Olivier Bokanowski, Yingda Cheng, Chi-Wang Shu:
A Discontinuous Galerkin Solver for Front Propagation. SIAM J. Sci. Comput. 33(2): 923-938 (2011) - [j91]Yuanyuan Liu, Chi-Wang Shu, Mengping Zhang:
High Order Finite Difference WENO Schemes for Nonlinear Degenerate Parabolic Equations. SIAM J. Sci. Comput. 33(2): 939-965 (2011) - [j90]Yong-Tao Zhang, Shanqin Chen, Fengyan Li, Hongkai Zhao, Chi-Wang Shu:
Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations. SIAM J. Sci. Comput. 33(4): 1873-1896 (2011) - 2010
- [j89]Yinhua Xia, Yan Xu, Chi-Wang Shu:
Local discontinuous Galerkin methods for the generalized Zakharov system. J. Comput. Phys. 229(4): 1238-1259 (2010) - [j88]Xiangxiong Zhang, Chi-Wang Shu:
On maximum-principle-satisfying high order schemes for scalar conservation laws. J. Comput. Phys. 229(9): 3091-3120 (2010) - [j87]Juan Cheng, Chi-Wang Shu:
A cell-centered Lagrangian scheme with the preservation of symmetry and conservation properties for compressible fluid flows in two-dimensional cylindrical geometry. J. Comput. Phys. 229(19): 7191-7206 (2010) - [j86]Sirui Tan, Chi-Wang Shu:
Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws. J. Comput. Phys. 229(21): 8144-8166 (2010) - [j85]Chunwu Wang, Chi-Wang Shu:
An interface treating technique for compressible multi-medium flow with Runge-Kutta discontinuous Galerkin method. J. Comput. Phys. 229(23): 8823-8843 (2010) - [j84]Xiangxiong Zhang, Chi-Wang Shu:
On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes. J. Comput. Phys. 229(23): 8918-8934 (2010) - [j83]Sigal Gottlieb, Chi-Wang Shu:
Foreword. J. Sci. Comput. 45(1-3): 1-2 (2010) - [j82]Tao Xiong, Mengping Zhang, Yong-Tao Zhang, Chi-Wang Shu:
Fast Sweeping Fifth Order WENO Scheme for Static Hamilton-Jacobi Equations with Accurate Boundary Treatment. J. Sci. Comput. 45(1-3): 514-536 (2010) - [j81]Yingda Cheng, Chi-Wang Shu:
Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension. SIAM J. Numer. Anal. 47(6): 4044-4072 (2010) - [j80]Xiangxiong Zhang, Chi-Wang Shu:
A Genuinely High Order Total Variation Diminishing Scheme for One-Dimensional Scalar Conservation Laws. SIAM J. Numer. Anal. 48(2): 772-795 (2010) - [j79]Qiang Zhang, Chi-Wang Shu:
Stability Analysis and A Priori Error Estimates of the Third Order Explicit Runge-Kutta Discontinuous Galerkin Method for Scalar Conservation Laws. SIAM J. Numer. Anal. 48(3): 1038-1063 (2010) - [c2]Juan Cheng, Chi-Wang Shu:
A Lagrangian scheme with the preservation of symmetry and conservation in cylindrical geometry: Preliminary study. ICCS 2010: 1903-1911
2000 – 2009
- 2009
- [j78]Zhiliang Xu, Yingjie Liu, Chi-Wang Shu:
Hierarchical reconstruction for discontinuous Galerkin methods on unstructured grids with a WENO-type linear reconstruction and partial neighboring cells. J. Comput. Phys. 228(6): 2194-2212 (2009) - [j77]Zhiliang Xu, Yingjie Liu, Chi-Wang Shu:
Hierarchical reconstruction for spectral volume method on unstructured grids. J. Comput. Phys. 228(16): 5787-5802 (2009) - [j76]Wei Wang, Chi-Wang Shu, H. C. Yee, Björn Sjögreen:
High-order well-balanced schemes and applications to non-equilibrium flow. J. Comput. Phys. 228(18): 6682-6702 (2009) - [j75]Wei Liu, Juan Cheng, Chi-Wang Shu:
High order conservative Lagrangian schemes with Lax-Wendroff type time discretization for the compressible Euler equations. J. Comput. Phys. 228(23): 8872-8891 (2009) - [j74]Sigal Gottlieb, David I. Ketcheson, Chi-Wang Shu:
High Order Strong Stability Preserving Time Discretizations. J. Sci. Comput. 38(3): 251-289 (2009) - [j73]Bernardo Cockburn, Chi-Wang Shu:
Foreword. J. Sci. Comput. 40(1-3): 1-3 (2009) - [j72]Wei Wang, Chi-Wang Shu:
The WKB Local Discontinuous Galerkin Method for the Simulation of Schrödinger Equation in a Resonant Tunneling Diode. J. Sci. Comput. 40(1-3): 360-374 (2009) - [j71]Yan Xu, Chi-Wang Shu:
Local Discontinuous Galerkin Method for Surface Diffusion and Willmore Flow of Graphs. J. Sci. Comput. 40(1-3): 375-390 (2009) - [j70]Bo Dong, Chi-Wang Shu:
Analysis of a Local Discontinuous Galerkin Method for Linear Time-Dependent Fourth-Order Problems. SIAM J. Numer. Anal. 47(5): 3240-3268 (2009) - [j69]Chi-Wang Shu:
High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems. SIAM Rev. 51(1): 82-126 (2009) - [j68]Yadong Lu, Sze Chun Wong, Mengping Zhang, Chi-Wang Shu:
The Entropy Solutions for the Lighthill-Whitham-Richards Traffic Flow Model with a Discontinuous Flow-Density Relationship. Transp. Sci. 43(4): 511-530 (2009) - 2008
- [j67]Jun Zhu, Jianxian Qiu, Chi-Wang Shu, Michael Dumbser:
Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes. J. Comput. Phys. 227(9): 4330-4353 (2008) - [j66]Shuhai Zhang, Shufen Jiang, Chi-Wang Shu:
Development of nonlinear weighted compact schemes with increasingly higher order accuracy. J. Comput. Phys. 227(15): 7294-7321 (2008) - [j65]Fengyan Li, Chi-Wang Shu, Yong-Tao Zhang, Hongkai Zhao:
A second order discontinuous Galerkin fast sweeping method for Eikonal equations. J. Comput. Phys. 227(17): 8191-8208 (2008) - [j64]Yingda Cheng, Chi-Wang Shu:
Superconvergence and time evolution of discontinuous Galerkin finite element solutions. J. Comput. Phys. 227(22): 9612-9627 (2008) - [j63]Wei Wang, Xiantao Li, Chi-Wang Shu:
The Discontinuous Galerkin Method for the Multiscale Modeling of Dynamics of Crystalline Solids. Multiscale Model. Simul. 7(1): 294-320 (2008) - [j62]Yingda Cheng, Chi-Wang Shu:
A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives. Math. Comput. 77(262): 699-730 (2008) - [j61]Yan Xu, Chi-Wang Shu:
A Local Discontinuous Galerkin Method for the Camassa-Holm Equation. SIAM J. Numer. Anal. 46(4): 1998-2021 (2008) - [j60]Jing-Mei Qiu, Chi-Wang Shu:
Convergence of Godunov-Type Schemes for Scalar Conservation Laws under Large Time Steps. SIAM J. Numer. Anal. 46(5): 2211-2237 (2008) - [j59]Jing-Mei Qiu, Chi-Wang Shu:
Convergence of High Order Finite Volume Weighted Essentially Nonoscillatory Scheme and Discontinuous Galerkin Method for Nonconvex Conservation Laws. SIAM J. Sci. Comput. 31(1): 584-607 (2008) - [j58]Yan Xu, Chi-Wang Shu:
Local Discontinuous Galerkin Method for the Hunter--Saxton Equation and Its Zero-Viscosity and Zero-Dispersion Limits. SIAM J. Sci. Comput. 31(2): 1249-1268 (2008) - 2007
- [j57]Yingda Cheng, Chi-Wang Shu:
A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations. J. Comput. Phys. 223(1): 398-415 (2007) - [j56]Ching-Shan Chou, Chi-Wang Shu:
High order residual distribution conservative finite difference WENO schemes for convection-diffusion steady state problems on non-smooth meshes. J. Comput. Phys. 224(2): 992-1020 (2007) - [j55]Shanqin Chen, Weinan E, Yunxian Liu, Chi-Wang Shu:
A discontinuous Galerkin implementation of a domain decomposition method for kinetic-hydrodynamic coupling multiscale problems in gas dynamics and device simulations. J. Comput. Phys. 225(2): 1314-1330 (2007) - [j54]Sebastian Noelle, Yulong Xing, Chi-Wang Shu:
High-order well-balanced finite volume WENO schemes for shallow water equation with moving water. J. Comput. Phys. 226(1): 29-58 (2007) - [j53]Yinhua Xia, Yan Xu, Chi-Wang Shu:
Local discontinuous Galerkin methods for the Cahn-Hilliard type equations. J. Comput. Phys. 227(1): 472-491 (2007) - [j52]Juan Cheng, Chi-Wang Shu:
A high order ENO conservative Lagrangian type scheme for the compressible Euler equations. J. Comput. Phys. 227(2): 1567-1596 (2007) - [j51]Shuhai Zhang, Chi-Wang Shu:
A New Smoothness Indicator for the WENO Schemes and Its Effect on the Convergence to Steady State Solutions. J. Sci. Comput. 31(1-2): 273-305 (2007) - [j50]Jun Shen, Chi-Wang Shu, Mengping Zhang:
A High Order WENO Scheme for a Hierarchical Size-Structured Population Model. J. Sci. Comput. 33(3): 279-291 (2007) - [j49]Jun Shen, Chi-Wang Shu, Mengping Zhang:
High Resolution Schemes for a Hierarchical Size-Structured Model. SIAM J. Numer. Anal. 45(1): 352-370 (2007) - [j48]Yingjie Liu, Chi-Wang Shu, Eitan Tadmor, Mengping Zhang:
Central Discontinuous Galerkin Methods on Overlapping Cells with a Nonoscillatory Hierarchical Reconstruction. SIAM J. Numer. Anal. 45(6): 2442-2467 (2007) - [j47]Sean Curtis, Robert M. Kirby, Jennifer K. Ryan, Chi-Wang Shu:
Postprocessing for the Discontinuous Galerkin Method over Nonuniform Meshes. SIAM J. Sci. Comput. 30(1): 272-289 (2007) - 2006
- [j46]Jianxian Qiu, Boo Cheong Khoo, Chi-Wang Shu:
A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes. J. Comput. Phys. 212(2): 540-565 (2006) - [j45]Peng Zhang, Sze Chun Wong, Chi-Wang Shu:
A weighted essentially non-oscillatory numerical scheme for a multi-class traffic flow model on an inhomogeneous highway. J. Comput. Phys. 212(2): 739-756 (2006) - [j44]José A. Carrillo, Irene M. Gamba, Armando Majorana, Chi-Wang Shu:
2D semiconductor device simulations by WENO-Boltzmann schemes: Efficiency, boundary conditions and comparison to Monte Carlo methods. J. Comput. Phys. 214(1): 55-80 (2006) - [j43]Yulong Xing, Chi-Wang Shu:
High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms. J. Comput. Phys. 214(2): 567-598 (2006) - [j42]Ching-Shan Chou, Chi-Wang Shu:
High order residual distribution conservative finite difference WENO schemes for steady state problems on non-smooth meshes. J. Comput. Phys. 214(2): 698-724 (2006) - [j41]Ling Yuan, Chi-Wang Shu:
Discontinuous Galerkin method based on non-polynomial approximation spaces. J. Comput. Phys. 218(1): 295-323 (2006) - [j40]David I. Gottlieb, Jan S. Hesthaven, George E. Karniadakis, Chi-Wang Shu:
Foreword. J. Sci. Comput. 27(1-3): 1-3 (2006) - [j39]Yulong Xing, Chi-Wang Shu:
High-Order Well-Balanced Finite Difference WENO Schemes for a Class of Hyperbolic Systems with Source Terms. J. Sci. Comput. 27(1-3): 477-494 (2006) - [j38]Sigal Gottlieb, David I. Gottlieb, Chi-Wang Shu:
Recovering High-Order Accuracy in WENO Computations of Steady-State Hyperbolic Systems. J. Sci. Comput. 28(2-3): 307-318 (2006) - [j37]Qiang Zhang, Chi-Wang Shu:
Error Estimates to Smooth Solutions of Runge-Kutta Discontinuous Galerkin Method for Symmetrizable Systems of Conservation Laws. SIAM J. Numer. Anal. 44(4): 1703-1720 (2006) - [j36]Doron Levy, Suhas Nayak, Chi-Wang Shu, Yong-Tao Zhang:
Central WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes. SIAM J. Sci. Comput. 28(6): 2229-2247 (2006) - 2005
- [j35]Fengyan Li, Chi-Wang Shu:
Reinterpretation and simplified implementation of a discontinuous Galerkin method for Hamilton-Jacobi equations. Appl. Math. Lett. 18(11): 1204-1209 (2005) - [j34]Fengyan Li, Chi-Wang Shu:
Locally Divergence-Free Discontinuous Galerkin Methods for MHD Equations. J. Sci. Comput. 22(1): 413-442 (2005) - [j33]Chi-Wang Shu, Wai-Sun Don, David I. Gottlieb, Oleg Schilling, Leland Jameson:
Numerical Convergence Study of Nearly Incompressible, Inviscid Taylor-Green Vortex Flow. J. Sci. Comput. 24(1): 1-27 (2005) - [j32]Youngsoo Ha, Carl L. Gardner, Anne Gelb, Chi-Wang Shu:
Numerical Simulation of High Mach Number Astrophysical Jets with Radiative Cooling. J. Sci. Comput. 24(1): 29-44 (2005) - [j31]Mark H. Carpenter, David I. Gottlieb, Jan S. Hesthaven, Chi-Wang Shu:
Foreword. J. Sci. Comput. 25(1-2): 1-2 (2005) - [j30]Shanqin Chen, Weinan E, Chi-Wang Shu:
The Heterogeneous Multiscale Method Based on the Discontinuous Galerkin Method for Hyperbolic and Parabolic Problems. Multiscale Model. Simul. 3(4): 871-894 (2005) - [j29]Jennifer K. Ryan, Chi-Wang Shu, Harold Atkins:
Extension of a Post Processing Technique for the Discontinuous Galerkin Method for Hyperbolic Equations with Application to an Aeroacoustic Problem. SIAM J. Sci. Comput. 26(3): 821-843 (2005) - [j28]Jianxian Qiu, Chi-Wang Shu:
Runge-Kutta Discontinuous Galerkin Method Using WENO Limiters. SIAM J. Sci. Comput. 26(3): 907-929 (2005) - [j27]Francis Filbet, Chi-Wang Shu:
Approximation of Hyperbolic Models for Chemosensitive Movement. SIAM J. Sci. Comput. 27(3): 850-872 (2005) - [j26]Jianxian Qiu, Chi-Wang Shu:
A Comparison of Troubled-Cell Indicators for Runge-Kutta Discontinuous Galerkin Methods Using Weighted Essentially Nonoscillatory Limiters. SIAM J. Sci. Comput. 27(3): 995-1013 (2005) - 2004
- [j25]Yan Guo, Chi-Wang Shu, Tie Zhou:
The Dynamics of a Plane Diode. SIAM J. Math. Anal. 35(6): 1617-1635 (2004) - [j24]Qiang Zhang, Chi-Wang Shu:
Error Estimates to Smooth Solutions of Runge-Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws. SIAM J. Numer. Anal. 42(2): 641-666 (2004) - 2003
- [j23]Mark H. Carpenter, David I. Gottlieb, Chi-Wang Shu:
On the Conservation and Convergence to Weak Solutions of Global Schemes. J. Sci. Comput. 18(1): 111-132 (2003) - [j22]Chi-Wang Shu:
Foreword. J. Sci. Comput. 19(1-3): 1-2 (2003) - [j21]Kurt Sebastian, Chi-Wang Shu:
Multidomain WENO Finite Difference Method with Interpolation at Subdomain Interfaces. J. Sci. Comput. 19(1-3): 405-438 (2003) - [j20]Bernardo Cockburn, Mitchell Luskin, Chi-Wang Shu, Endre Süli:
Enhanced accuracy by post-processing for finite element methods for hyperbolic equations. Math. Comput. 72(242): 577-606 (2003) - [j19]Yong-Tao Zhang, Chi-Wang Shu:
High-Order WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes. SIAM J. Sci. Comput. 24(3): 1005-1030 (2003) - [j18]Jianxian Qiu, Chi-Wang Shu:
Finite Difference WENO Schemes with Lax-Wendroff-Type Time Discretizations. SIAM J. Sci. Comput. 24(6): 2185-2198 (2003) - 2002
- [j17]Jue Yan, Chi-Wang Shu:
Local Discontinuous Galerkin Methods for Partial Differential Equations with Higher Order Derivatives. J. Sci. Comput. 17(1-4): 27-47 (2002) - [j16]Jue Yan, Chi-Wang Shu:
A Local Discontinuous Galerkin Method for KdV Type Equations. SIAM J. Numer. Anal. 40(2): 769-791 (2002) - 2001
- [j15]Tie Zhou, Yinfan Li, Chi-Wang Shu:
Numerical Comparison of WENO Finite Volume and Runge-Kutta Discontinuous Galerkin Methods. J. Sci. Comput. 16(2): 145-171 (2001) - [j14]Bernardo Cockburn, Chi-Wang Shu:
Runge-Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems. J. Sci. Comput. 16(3): 173-261 (2001) - [j13]Sigal Gottlieb, Chi-Wang Shu, Eitan Tadmor:
Strong Stability-Preserving High-Order Time Discretization Methods. SIAM Rev. 43(1): 89-112 (2001) - [j12]Kausar Banoo, Jung-Hoon Rhew, Mark S. Lundstrom, Chi-Wang Shu, Joseph W. Jerome:
Simulating Quasi-ballistic Transport in Si Nanotransistors. VLSI Design 13(1-4): 5-13 (2001) - [j11]Marcello A. Anile, José A. Carrillo, Irene M. Gamba, Chi-Wang Shu:
Approximation of the BTE by a Relaxation-time Operator: Simulations for a 50 nm-channel Si Diode. VLSI Design 13(1-4): 349-354 (2001)
1990 – 1999
- 1999
- [j10]Changqing Hu, Chi-Wang Shu:
A Discontinuous Galerkin Finite Element Method for Hamilton-Jacobi Equations. SIAM J. Sci. Comput. 21(2): 666-690 (1999) - 1998
- [j9]Sigal Gottlieb, Chi-Wang Shu:
Total variation diminishing Runge-Kutta schemes. Math. Comput. 67(221): 73-85 (1998) - [j8]Gui-Qiang G. Chen, Joseph W. Jerome, Chi-Wang Shu:
Analysis and Simulation of Extended Hydrodynamic Models: The Multi-Valley Gunn Oscillator and MESFET Symmetries. VLSI Design 6(1-4): 277-282 (1998) - [j7]Carlo Cercignani, Irene M. Gamba, Joseph W. Jerome, Chi-Wang Shu:
Applicability of the High Field Model: An Analytical Study Via Asymptotic Parameters Defining Domain Decomposition. VLSI Design 8(1-4): 135-141 (1998) - [j6]Carlo Cercignani, Irene M. Gamba, Joseph W. Jerome, Chi-Wang Shu:
Applicability of the High Field Model: A Preliminary Numerical Study. VLSI Design 8(1-4): 275-282 (1998) - 1997
- [j5]Kaleem Siddiqi, Benjamin B. Kimia, Chi-Wang Shu:
Geometric Shock-Capturing ENO Schemes for Subpixel Interpolation, Computation and Curve Evolution. CVGIP Graph. Model. Image Process. 59(5): 278-301 (1997) - [j4]David I. Gottlieb, Chi-Wang Shu:
On the Gibbs Phenomenon and Its Resolution. SIAM Rev. 39(4): 644-668 (1997) - 1995
- [j3]Joseph W. Jerome, Chi-Wang Shu:
Transport effects and characteristic modes in the modeling and simulation of submicron devices. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 14(8): 917-923 (1995) - [j2]Joseph W. Jerome, Chi-Wang Shu:
The Response of the Hydrodynamic Model to Heat Conduction, Mobility, and Relaxation Expressions. VLSI Design 3(2): 131-143 (1995) - [j1]Zhangxin Chen, Bernardo Cockburn, Joseph W. Jerome, Chi-Wang Shu:
Mixed-RKDG Finite Element Methods for the 2-D Hydrodynamic Model for Semiconductor Device Simulation. VLSI Design 3(2): 145-158 (1995) - 1993
- [c1]Zhangxin Chen, Bernardo Cockburn, Joseph W. Jerome, Chi-Wang Shu:
Finite Element Computation of the Hydrodynamic Model of Semiconductor Devices. PPSC 1993: 228-236
Coauthor Index
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