Yan Xu

Publication Activity (10 Years)

Years Active: 2007-2024
Publications (10 Years): 23

Top Topics

Finite Difference

Error Estimates

Top Venues

J. Sci. Comput.

J. Comput. Appl. Math.

J. Comput. Phys.

Publications

Fan Wang, Qi Tao, Yan Xu
The local discontinuous Galerkin method for the nonlinear quantum Zakharov system. J. Comput. Appl. Math. 436 (2024)
Fengna Yan, Jaap J. W. van der Vegt, Yinhua Xia, Yan Xu
Entropy dissipative higher order accurate positivity preserving time-implicit discretizations for nonlinear degenerate parabolic equations. J. Comput. Appl. Math. 441 (2024)
Weijie Zhang, Yulong Xing, Yinhua Xia, Yan Xu
High order structure-preserving arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the Euler equations under gravitational fields. Comput. Math. Appl. 146 (2023)
Jiahui Zhang, Yinhua Xia, Yan Xu
Structure-preserving finite volume arbitrary Lagrangian-Eulerian WENO schemes for the shallow water equations. J. Comput. Phys. 473 (2023)
Fengna Yan, Jaap J. W. van der Vegt, Yinhua Xia, Yan Xu
Entropy dissipative higher order accurate positivity preserving time-implicit discretizations for nonlinear degenerate parabolic equations. CoRR (2023)
Xiaoxuan Yu, Yan Xu, Qiang Du
Numerical Simulation of Singularity Propagation Modeled by Linear Convection Equations with Spatially Heterogeneous Nonlocal Interactions. J. Sci. Comput. 92 (2) (2022)
Qi Tao, Liangyue Ji, Jennifer K. Ryan, Yan Xu
Accuracy-Enhancement of Discontinuous Galerkin Methods for PDEs Containing High Order Spatial Derivatives. J. Sci. Comput. 93 (1) (2022)
Jiahui Zhang, Yinhua Xia, Yan Xu
Structure-preserving finite volume arbitrary Lagrangian-Eulerian WENO schemes for the shallow water equations. CoRR (2022)
Zhongjie Lu, Yan Xu
A Parallel Eigensolver for Photonic Crystals Discretized by Edge Finite Elements. J. Sci. Comput. 92 (3) (2022)
Chao Zhang, Yan Xu, Yinhua Xia
Local Discontinuous Galerkin Methods to a Dispersive System of KdV-Type Equations. J. Sci. Comput. 86 (1) (2021)
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 (2021)
Weijie Zhang, Yinhua Xia, Yan Xu
Positivity-Preserving Well-Balanced Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Methods for the Shallow Water Equations. J. Sci. Comput. 88 (3) (2021)
Fengna Yan, Yan Xu
Error Analysis of an Unconditionally Energy Stable Local Discontinuous Galerkin Scheme for the Cahn-Hilliard Equation with Concentration-Dependent Mobility. Comput. Methods Appl. Math. 21 (3) (2021)
Qi Tao, Yan Xu, Chi-Wang Shu
An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives. Math. Comput. 89 (326) (2020)
Qi Tao, Yan Xu, Chi-Wang Shu
An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives. CoRR (2020)
Fengna Yan, Yan Xu
Stability analysis and error estimates of local discontinuous Galerkin methods with semi-implicit spectral deferred correction time-marching for the Allen-Cahn equation. J. Comput. Appl. Math. 376 (2020)
Pei Fu, Yingda Cheng, Fengyan Li, Yan Xu
Accuracy for One Dimensional Linear PDEs with High Order Spatial Derivatives. J. Sci. Comput. 78 (2) (2019)
Jaap J. W. van der Vegt, Yinhua Xia, Yan Xu
Positivity Preserving Limiters for Time-Implicit Higher Order Accurate Discontinuous Galerkin Discretizations. SIAM J. Sci. Comput. 41 (3) (2019)
Chao Zhang, Yan Xu, Yinhua Xia
Local Discontinuous Galerkin Methods for the μ-Camassa-Holm and μ-Degasperis-Procesi Equations. J. Sci. Comput. 79 (2) (2019)
Lingling Zhou, Yan Xu
Stability Analysis and Error Estimates of Semi-implicit Spectral Deferred Correction Coupled with Local Discontinuous Galerkin Method for Linear Convection-Diffusion Equations. J. Sci. Comput. 77 (2) (2018)
Pei Fu, Fengyan Li, Yan Xu
Globally Divergence-Free Discontinuous Galerkin Methods for Ideal Magnetohydrodynamic Equations. J. Sci. Comput. 77 (3) (2018)
Ruihan Guo, Yinhua Xia, Yan Xu
Semi-implicit spectral deferred correction methods for highly nonlinear partial differential equations. J. Comput. Phys. 338 (2017)
Lingling Zhou, Yan Xu, Zhimin Zhang, Waixiang Cao
Superconvergence of Local Discontinuous Galerkin Method for One-Dimensional Linear Schrödinger Equations. J. Sci. Comput. 73 (2-3) (2017)
Ruihan Guo, Yinhua Xia, Yan Xu
An efficient fully-discrete local discontinuous Galerkin method for the Cahn-Hilliard-Hele-Shaw system. J. Comput. Phys. 264 (2014)
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) (2012)
Yinhua Xia, Yan Xu, Chi-Wang Shu
Local discontinuous Galerkin methods for the generalized Zakharov system. J. Comput. Phys. 229 (4) (2010)
Yan Xu, Chi-Wang Shu
Local Discontinuous Galerkin Method for Surface Diffusion and Willmore Flow of Graphs. J. Sci. Comput. 40 (1-3) (2009)
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) (2008)
Yan Xu, Chi-Wang Shu
A Local Discontinuous Galerkin Method for the Camassa-Holm Equation. SIAM J. Numer. Anal. 46 (4) (2008)
Yinhua Xia, Yan Xu, Chi-Wang Shu
Local discontinuous Galerkin methods for the Cahn-Hilliard type equations. J. Comput. Phys. 227 (1) (2007)