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ORCIDYinhua Xia
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2020 – today
- 2025
[j33]Jiahui Zhang, Yinhua Xia
, Yan Xu:
Well-balanced path-conservative discontinuous Galerkin methods with equilibrium preserving space for two-layer shallow water equations. J. Comput. Phys. 520: 113473 (2025)- 2024
- [j32]Lin Yao, Yinhua Xia, Yan Xu:
Stability of implicit deferred correction methods based on BDF methods. Appl. Math. Lett. 158: 109255 (2024) - [j31]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: 115674 (2024) - [j30]Lei Wei, Yinhua Xia:
An indicator-based hybrid limiter in discontinuous Galerkin methods for hyperbolic conservation laws. J. Comput. Phys. 498: 112676 (2024) - [j29]Lei Wei, Yinhua Xia:
Steady-state simulation of Euler equations by the discontinuous Galerkin method with the hybrid limiter. J. Comput. Phys. 515: 113288 (2024) - [j28]Shijin Hou, Yinhua Xia:
Discontinuous Galerkin Method Based on the Reduced Space for the Nonlinear Convection-Diffusion-Reaction Equation. J. Sci. Comput. 99(1): 19 (2024) - [i11]Jiahui Zhang, Yinhua Xia, Yan Xu:
Equilibrium preserving space in discontinuous Galerkin methods for hyperbolic balance laws. CoRR abs/2402.01131 (2024) - [i10]Jiahui Zhang, Yinhua Xia, Yan Xu:
Well-balanced path-conservative discontinuous Galerkin methods with equilibrium preserving space for two-layer shallow water equations. CoRR abs/2403.11409 (2024) - [i9]Lei Wei, Lingling Zhou, Yinhua Xia:
The jump filter in the discontinuous Galerkin method for hyperbolic conservation laws. CoRR abs/2407.19169 (2024) - 2023
- [j27]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: 339-359 (2023) - [j26]Jiahui Zhang, Yinhua Xia, Yan Xu:
Structure-preserving finite volume arbitrary Lagrangian-Eulerian WENO schemes for the shallow water equations. J. Comput. Phys. 473: 111758 (2023) - [j25]Jiahui Zhang, Yinhua Xia, Yan Xu:
Moving Water Equilibria Preserving Discontinuous Galerkin Method for the Shallow Water Equations. J. Sci. Comput. 95(2): 48 (2023) - [i8]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 abs/2301.01427 (2023) - [i7]Shijin Hou, Yinhua Xia:
Discontinuous Galerkin method based on the reduced space for the nonlinear convection-diffusion-reaction equation. CoRR abs/2306.06636 (2023) - [i6]Shijin Hou, Yanlai Chen, Yinhua Xia:
A reduced basis warm-start iterative solver for the parameterized systems. CoRR abs/2311.13862 (2023) - 2022
- [j24]Yifei Wan, Yinhua Xia:
A hybrid WENO scheme for steady-state simulations of Euler equations. J. Comput. Phys. 463: 111292 (2022) - [j23]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: 111600 (2022) - [j22]Lingling Zhou, Yinhua Xia:
Arbitrary Lagrangian-Eulerian Local Discontinuous Galerkin Method for Linear Convection-Diffusion Equations. J. Sci. Comput. 90(1): 21 (2022) - [j21]Yong Liu, Jianfang Lu, Qi Tao, Yinhua Xia:
An Oscillation-free Discontinuous Galerkin Method for Shallow Water Equations. J. Sci. Comput. 92(3): 109 (2022) - [j20]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): 3536- (2022) - [i5]Jiahui Zhang, Yinhua Xia, Yan Xu:
Structure-preserving finite volume arbitrary Lagrangian-Eulerian WENO schemes for the shallow water equations. CoRR abs/2208.06588 (2022) - 2021
- [j19]Chao Zhang, Yan Xu, Yinhua Xia:
Local Discontinuous Galerkin Methods to a Dispersive System of KdV-Type Equations. J. Sci. Comput. 86(1): 4 (2021) - [j18]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): 57 (2021) - [i4]Yong Liu, Jianfang Lu, Qi Tao, Yinhua Xia:
A well-balanced oscillation-free discontinuous Galerkin method for shallow water equations. CoRR abs/2109.02193 (2021) - [i3]Shijin Hou, Yanlai Chen, Yinhua Xia:
Fast L2 optimal mass transport via reduced basis methods for the Monge-Ampère equation. CoRR abs/2112.01878 (2021) - 2020
- [j17]Jianli Zhao, Qian Zhang, Yang Yang, Yinhua Xia:
Conservative discontinuous Galerkin methods for the nonlinear Serre equations. J. Comput. Phys. 421: 109729 (2020) - [j16]Qian Zhang, Yinhua Xia:
Discontinuous Galerkin Methods for the Ostrovsky-Vakhnenko Equation. J. Sci. Comput. 82(1): 24 (2020) - [j15]Xue Hong, Yinhua Xia:
Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Method for Hyperbolic Equations Involving δ-Singularities. SIAM J. Numer. Anal. 58(1): 125-152 (2020)
2010 – 2019
- 2019
- [j14]Qi Tao, Yinhua Xia:
Error estimates and post-processing of local discontinuous Galerkin method for Schrödinger equations. J. Comput. Appl. Math. 356: 198-218 (2019) - [j13]Qian Zhang, Yinhua Xia:
Discontinuous Galerkin methods for short pulse type equations via hodograph transformations. J. Comput. Phys. 399 (2019) - [j12]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): 1294-1334 (2019) - [j11]Pei Fu, Gero Schnücke, Yinhua Xia:
Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws on moving simplex meshes. Math. Comput. 88(319): 2221-2255 (2019) - [j10]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): A2037-A2063 (2019) - [i2]Qian Zhang, Yinhua Xia:
Discontinuous Galerkin methods for short pulse type equations via hodograph transformations. CoRR abs/1907.07842 (2019) - [i1]Qian Zhang, Yinhua Xia:
Discontinuous Galerkin methods for the Ostrovsky-Vakhnenko equation. CoRR abs/1908.03873 (2019) - 2017
- [j9]Ruihan Guo, Yinhua Xia, Yan Xu:
Semi-implicit spectral deferred correction methods for highly nonlinear partial differential equations. J. Comput. Phys. 338: 269-284 (2017) - [j8]Christian Klingenberg, Gero Schnücke, Yinhua Xia:
An Arbitrary Lagrangian-Eulerian Local Discontinuous Galerkin Method for Hamilton-Jacobi Equations. J. Sci. Comput. 73(2-3): 906-942 (2017) - [j7]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): 1203-1232 (2017) - 2015
- [j6]Yinhua Xia:
A fully discrete stable discontinuous Galerkin method for the thin film epitaxy problem without slope selection. J. Comput. Phys. 280: 248-260 (2015) - 2014
- [j5]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: 23-40 (2014) - [j4]Yinhua Xia:
Fourier Spectral Methods for Degasperis-Procesi Equation with Discontinuous Solutions. J. Sci. Comput. 61(3): 584-603 (2014) - 2012
- [j3]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) - 2010
- [j2]Yinhua Xia, Yan Xu, Chi-Wang Shu:
Local discontinuous Galerkin methods for the generalized Zakharov system. J. Comput. Phys. 229(4): 1238-1259 (2010)
2000 – 2009
- 2007
- [j1]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)
Coauthor Index
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