Yinhua Xia

Publication Activity (10 Years)

Years Active: 2007-2024
Publications (10 Years): 37

Top Topics

Conservation Laws

Top Venues

J. Comput. Phys.

J. Sci. Comput.

J. Comput. Appl. Math.

Publications

Shijin Hou, Yinhua Xia
Discontinuous Galerkin Method Based on the Reduced Space for the Nonlinear Convection-Diffusion-Reaction Equation. J. Sci. Comput. 99 (1) (2024)
Lei Wei, Yinhua Xia
Steady-state simulation of Euler equations by the discontinuous Galerkin method with the hybrid limiter. J. Comput. Phys. 515 (2024)
Lin Yao, Yinhua Xia, Yan Xu
Stability of implicit deferred correction methods based on BDF methods. Appl. Math. Lett. 158 (2024)
Lei Wei, Yinhua Xia
An indicator-based hybrid limiter in discontinuous Galerkin methods for hyperbolic conservation laws. J. Comput. Phys. 498 (2024)
Lei Wei, Lingling Zhou, Yinhua Xia
The jump filter in the discontinuous Galerkin method for hyperbolic conservation laws. CoRR (2024)
Jiahui Zhang, Yinhua Xia, Yan Xu
Well-balanced path-conservative discontinuous Galerkin methods with equilibrium preserving space for two-layer shallow water equations. CoRR (2024)
Jiahui Zhang, Yinhua Xia, Yan Xu
Equilibrium preserving space in discontinuous Galerkin methods for hyperbolic balance laws. CoRR (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)
Shijin Hou, Yinhua Xia
Discontinuous Galerkin method based on the reduced space for the nonlinear convection-diffusion-reaction equation. CoRR (2023)
Shijin Hou, Yanlai Chen, Yinhua Xia
A reduced basis warm-start iterative solver for the parameterized systems. CoRR (2023)
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)
Jiahui Zhang, Yinhua Xia, Yan Xu
Moving Water Equilibria Preserving Discontinuous Galerkin Method for the Shallow Water Equations. J. Sci. Comput. 95 (2) (2023)
Yifei Wan, Yinhua Xia
A hybrid WENO scheme for steady-state simulations of Euler equations. J. Comput. Phys. 463 (2022)
Lingling Zhou, Yinhua Xia
Arbitrary Lagrangian-Eulerian Local Discontinuous Galerkin Method for Linear Convection-Diffusion Equations. J. Sci. Comput. 90 (1) (2022)
Pei Fu, Yinhua Xia
The positivity preserving property on the high order arbitrary Lagrangian-Eulerian discontinuous Galerkin method for Euler equations. J. Comput. Phys. 470 (2022)
Jiahui Zhang, Yinhua Xia, Yan Xu
Structure-preserving finite volume arbitrary Lagrangian-Eulerian WENO schemes for the shallow water equations. CoRR (2022)
Shijin Hou, Yanlai Chen, Yinhua Xia
Fast $L^2$ Optimal Mass Transport via Reduced Basis Methods for the Monge-Ampère Equation. SIAM J. Sci. Comput. 44 (6) (2022)
Yong Liu, Jianfang Lu, Qi Tao, Yinhua Xia
An Oscillation-free Discontinuous Galerkin Method for Shallow Water Equations. J. Sci. Comput. 92 (3) (2022)
Yong Liu, Jianfang Lu, Qi Tao, Yinhua Xia
A well-balanced oscillation-free discontinuous Galerkin method for shallow water equations. CoRR (2021)
Chao Zhang, Yan Xu, Yinhua Xia
Local Discontinuous Galerkin Methods to a Dispersive System of KdV-Type Equations. J. Sci. Comput. 86 (1) (2021)
Shijin Hou, Yanlai Chen, Yinhua Xia
optimal mass transport via reduced basis methods for the Monge-Ampère equation. CoRR (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)
Jianli Zhao, Qian Zhang, Yang Yang, Yinhua Xia
Conservative discontinuous Galerkin methods for the nonlinear Serre equations. J. Comput. Phys. 421 (2020)
Qian Zhang, Yinhua Xia
Discontinuous Galerkin Methods for the Ostrovsky-Vakhnenko Equation. J. Sci. Comput. 82 (1) (2020)
Xue Hong, Yinhua Xia
Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Method for Hyperbolic Equations Involving δ-Singularities. SIAM J. Numer. Anal. 58 (1) (2020)
Pei Fu, Gero Schnücke, Yinhua Xia
Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws on moving simplex meshes. Math. Comput. 88 (319) (2019)
Qi Tao, Yinhua Xia
Error estimates and post-processing of local discontinuous Galerkin method for Schrödinger equations. J. Comput. Appl. Math. 356 (2019)
Qian Zhang, Yinhua Xia
Discontinuous Galerkin methods for the Ostrovsky-Vakhnenko equation. CoRR (2019)
Qian Zhang, Yinhua Xia
Discontinuous Galerkin methods for short pulse type equations via hodograph transformations. CoRR (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)
Qian Zhang, Yinhua Xia
Discontinuous Galerkin methods for short pulse type equations via hodograph transformations. J. Comput. Phys. 399 (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)
Ruihan Guo, Yinhua Xia, Yan Xu
Semi-implicit spectral deferred correction methods for highly nonlinear partial differential equations. J. Comput. Phys. 338 (2017)
Christian Klingenberg, Gero Schnücke, Yinhua Xia
An Arbitrary Lagrangian-Eulerian Local Discontinuous Galerkin Method for Hamilton-Jacobi Equations. J. Sci. Comput. 73 (2-3) (2017)
Christian Klingenberg, Gero Schnücke, Yinhua Xia
Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws: Analysis and application in one dimension. Math. Comput. 86 (305) (2017)
Yinhua Xia
A fully discrete stable discontinuous Galerkin method for the thin film epitaxy problem without slope selection. J. Comput. Phys. 280 (2015)
Yinhua Xia
Fourier Spectral Methods for Degasperis-Procesi Equation with Discontinuous Solutions. J. Sci. Comput. 61 (3) (2014)
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)
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) (2012)
Yinhua Xia, Yan Xu, Chi-Wang Shu
Local discontinuous Galerkin methods for the generalized Zakharov system. J. Comput. Phys. 229 (4) (2010)
Yinhua Xia, Yan Xu, Chi-Wang Shu
Local discontinuous Galerkin methods for the Cahn-Hilliard type equations. J. Comput. Phys. 227 (1) (2007)