Waixiang Cao

Publication Activity (10 Years)

Years Active: 2013-2025
Publications (10 Years): 35

Top Topics

Error Estimates

Gpu Accelerated

Top Venues

J. Sci. Comput.

SIAM J. Numer. Anal.

J. Comput. Appl. Math.

Publications

Ting Tan, Waixiang Cao
Spectral approximation and error analysis for the transmission eigenvalue problem with an isotropic inhomogeneous medium. J. Comput. Appl. Math. 453 (2025)
Yuhang Wang, Waixiang Cao, Liang Pan
Multiple-GPU accelerated high-order gas-kinetic scheme on three-dimensional unstructured meshes. CoRR (2024)
Xinyue Zhang, Waixiang Cao
Error estimates of the direct discontinuous Galerkin method for two-dimensional nonlinear convection-diffusion equations: Superconvergence analysis. J. Comput. Appl. Math. 451 (2024)
Xinyue Zhang, Liang Pan, Waixiang Cao
An Oscillation-Free Spectral Volume Method for Hyperbolic Conservation Laws. J. Sci. Comput. 99 (1) (2024)
Jing An, Waixiang Cao, Zhimin Zhang
A Novel Mixed Spectral Method and Error Estimates for Maxwell Transmission Eigenvalue Problems. SIAM J. Numer. Anal. 62 (3) (2024)
Waixiang Cao
Unified Analysis of Any Order Spectral Volume Methods for Diffusion Equations. J. Sci. Comput. 96 (3) (2023)
Waixiang Cao, Chunmei Wang, Junping Wang
An Lp- primal-dual weak Galerkin method for div-curl systems. J. Comput. Appl. Math. 422 (2023)
Jihui Zheng, Waixiang Cao, Jing An
A novel spectral method and error estimates for fourth-order problems with mixed boundary conditions in a cylindrical domain. Comput. Math. Appl. 152 (2023)
Xinyue Zhang, Waixiang Cao, Liang Pan
An Oscillation-free Spectral Volume Method for Hyperbolic Conservation Laws. CoRR (2023)
Xu Yin, Waixiang Cao
A Class of Efficient Hamiltonian Conservative Spectral Methods for Korteweg-de Vries Equations. J. Sci. Comput. 94 (1) (2023)
Waixiang Cao, Chunmei Wang, Junping Wang
An Lp- primal-dual weak Galerkin method for convection-diffusion equations. J. Comput. Appl. Math. 419 (2023)
Waixiang Cao, Chunmei Wang, Junping Wang
A new primal-dual weak Galerkin method for elliptic interface problems with low regularity assumptions. J. Comput. Phys. 470 (2022)
Ting Tan, Waixiang Cao, Jing An
Spectral approximation based on a mixed scheme and its error estimates for transmission eigenvalue problems. Comput. Math. Appl. 111 (2022)
Waixiang Cao, Qingsong Zou
Analysis of Spectral Volume Methods for 1D Linear Scalar Hyperbolic Equations. J. Sci. Comput. 90 (1) (2022)
Minqiang Xu, Yanting Yuan, Waixiang Cao, Qingsong Zou
Two types of spectral volume methods for 1-D linear hyperbolic equations with degenerate variable coefficients. CoRR (2022)
Waixiang Cao, Lueling Jia, Zhimin Zhang
A $C^1$ Conforming Petrov-Galerkin Method for Convection-Diffusion Equations and Superconvergence Analysis over Rectangular Meshes. SIAM J. Numer. Anal. 60 (1) (2022)
Waixiang Cao, Chunmei Wang, Junping Wang
-Primal-Dual Weak Galerkin method for div-curl Systems. CoRR (2022)
Xinyue Zhang, Waixiang Cao
Superconvergence of the Direct Discontinuous Galerkin Method for Two-Dimensional Nonlinear Convection-Diffusion Equations. CoRR (2021)
Waixiang Cao, Junping Wang, Yuesheng Xu
-weak Galerkin method for second order elliptic equations in non-divergence form. CoRR (2021)
Qi Tao, Waixiang Cao, Zhimin Zhang
Superconvergence Analysis of the Ultra-Weak Local Discontinuous Galerkin Method for One Dimensional Linear Fifth Order Equations. J. Sci. Comput. 88 (3) (2021)
Waixiang Cao, Chunmei Wang, Junping Wang
- Primal-Dual Weak Galerkin Method for Convection-Diffusion Equations. CoRR (2021)
Waixiang Cao, Lueling Jia, Zhimin Zhang
-conforming Petrov-Galerkin method for convection-diffusion equations and superconvergence ananlysis over rectangular meshes. CoRR (2021)
Waixiang Cao, Dongfang Li, Zhimin Zhang
Unconditionally optimal convergence of an energy-conserving and linearly implicit scheme for nonlinear wave equations. CoRR (2021)
Waixiang Cao, Chunmei Wang
New Primal-Dual Weak Galerkin Finite Element Methods for Convection-Diffusion Problems. CoRR (2020)
Waixiang Cao, Lueling Jia, Zhimin Zhang
Petrov-Galerkin method and Gauss collocation method for 1D general elliptic problems and superconvergence. CoRR (2020)
Waixiang Cao, Chunmei Wang, Junping Wang
A New Primal-Dual Weak Galerkin Method for Elliptic Interface Problems with Low Regularity Assumptions. CoRR (2020)
Lizhen Chen, Jun Zhang, Jia Zhao, Waixiang Cao, Hong Wang, Jiwei Zhang
An accurate and efficient algorithm for the time-fractional molecular beam epitaxy model with slope selection. Comput. Phys. Commun. 245 (2019)
Waixiang Cao, Zhimin Zhang
Some Recent Developments in Superconvergence of Discontinuous Galerkin Methods for Time-Dependent Partial Differential Equations. J. Sci. Comput. 77 (3) (2018)
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) (2018)
Waixiang Cao, Xu Zhang, Zhimin Zhang, Qingsong Zou
Correction to: Superconvergence of Immersed Finite Volume Methods for One-Dimensional Interface Problems. J. Sci. Comput. 74 (1) (2018)
Waixiang Cao, Xu Zhang, Zhimin Zhang
Superconvergence of immersed finite element methods for interface problems. Adv. Comput. Math. 43 (4) (2017)
Waixiang Cao, Qiumei Huang
Superconvergence of Local Discontinuous Galerkin Methods for Partial Differential Equations with Higher Order Derivatives. J. Sci. Comput. 72 (2) (2017)
Waixiang Cao, Xu Zhang, Zhimin Zhang, Qingsong Zou
Superconvergence of Immersed Finite Volume Methods for One-Dimensional Interface Problems. J. Sci. Comput. 73 (2-3) (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)
Waixiang Cao, Zhimin Zhang
Superconvergence of Local Discontinuous Galerkin methods for one-dimensional linear parabolic equations. Math. Comput. 85 (297) (2016)
Waixiang Cao, Zhimin Zhang, Qingsong Zou
Is 2k-Conjecture Valid for Finite Volume Methods? SIAM J. Numer. Anal. 53 (2) (2015)
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) (2015)
Waixiang Cao, Zhimin Zhang, Qingsong Zou
Analysis of a p--version finite volume method for 1D elliptic problems. J. Comput. Appl. Math. 265 (2014)
Waixiang Cao, Zhimin Zhang, Qingsong Zou
Superconvergence of Discontinuous Galerkin Methods for Linear Hyperbolic Equations. SIAM J. Numer. Anal. 52 (5) (2014)
Waixiang Cao, Zhimin Zhang, Qingsong Zou
Superconvergence of Any Order Finite Volume Schemes for 1D General Elliptic Equations. J. Sci. Comput. 56 (3) (2013)