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Journal Articles
- 2025
[j28]Ting Tan, Waixiang Cao
:
Spectral approximation and error analysis for the transmission eigenvalue problem with an isotropic inhomogeneous medium. J. Comput. Appl. Math. 453: 116163 (2025)- 2024
- [j27]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: 116116 (2024) - [j26]Xinyue Zhang, Liang Pan, Waixiang Cao:
An Oscillation-Free Spectral Volume Method for Hyperbolic Conservation Laws. J. Sci. Comput. 99(1): 8 (2024) - [j25]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): 1039-1066 (2024) - 2023
- [j24]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: 221-238 (2023) - [j23]Waixiang Cao, Chunmei Wang, Junping Wang:
An Lp- primal-dual weak Galerkin method for convection-diffusion equations. J. Comput. Appl. Math. 419: 114698 (2023) - [j22]Waixiang Cao, Chunmei Wang, Junping Wang:
An Lp- primal-dual weak Galerkin method for div-curl systems. J. Comput. Appl. Math. 422: 114881 (2023) - [j21]Xu Yin, Waixiang Cao:
A Class of Efficient Hamiltonian Conservative Spectral Methods for Korteweg-de Vries Equations. J. Sci. Comput. 94(1): 10 (2023) - [j20]Waixiang Cao:
Unified Analysis of Any Order Spectral Volume Methods for Diffusion Equations. J. Sci. Comput. 96(3): 90 (2023) - 2022
- [j19]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: 20-33 (2022) - [j18]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: 111538 (2022) - [j17]Waixiang Cao, Qingsong Zou:
Analysis of Spectral Volume Methods for 1D Linear Scalar Hyperbolic Equations. J. Sci. Comput. 90(1): 61 (2022) - [j16]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): 274-311 (2022) - 2021
- [j15]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): 63 (2021) - 2019
- [j14]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) - 2018
- [j13]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): 605 (2018) - [j12]Waixiang Cao, Zhimin Zhang:
Some Recent Developments in Superconvergence of Discontinuous Galerkin Methods for Time-Dependent Partial Differential Equations. J. Sci. Comput. 77(3): 1402-1423 (2018) - [j11]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) - 2017
- [j10]Waixiang Cao, Xu Zhang, Zhimin Zhang:
Superconvergence of immersed finite element methods for interface problems. Adv. Comput. Math. 43(4): 795-821 (2017) - [j9]Waixiang Cao, Qiumei Huang:
Superconvergence of Local Discontinuous Galerkin Methods for Partial Differential Equations with Higher Order Derivatives. J. Sci. Comput. 72(2): 761-791 (2017) - [j8]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): 543-565 (2017) - [j7]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): 1290-1315 (2017) - 2016
- [j6]Waixiang Cao, Zhimin Zhang:
Superconvergence of Local Discontinuous Galerkin methods for one-dimensional linear parabolic equations. Math. Comput. 85(297): 63-84 (2016) - 2015
- [j5]Waixiang Cao, Zhimin Zhang, Qingsong Zou:
Is 2k-Conjecture Valid for Finite Volume Methods? SIAM J. Numer. Anal. 53(2): 942-962 (2015) - [j4]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) - 2014
- [j3]Waixiang Cao, Zhimin Zhang, Qingsong Zou:
Analysis of a p--version finite volume method for 1D elliptic problems. J. Comput. Appl. Math. 265: 17-32 (2014) - [j2]Waixiang Cao, Zhimin Zhang, Qingsong Zou:
Superconvergence of Discontinuous Galerkin Methods for Linear Hyperbolic Equations. SIAM J. Numer. Anal. 52(5): 2555-2573 (2014) - 2013
- [j1]Waixiang Cao, Zhimin Zhang, Qingsong Zou:
Superconvergence of Any Order Finite Volume Schemes for 1D General Elliptic Equations. J. Sci. Comput. 56(3): 566-590 (2013)
Informal and Other Publications
- 2024
- [i12]Yuhang Wang, Waixiang Cao, Liang Pan:
Multiple-GPU accelerated high-order gas-kinetic scheme on three-dimensional unstructured meshes. CoRR abs/2407.00656 (2024) - 2023
- [i11]Xinyue Zhang, Waixiang Cao, Liang Pan:
An Oscillation-free Spectral Volume Method for Hyperbolic Conservation Laws. CoRR abs/2302.12412 (2023) - 2022
- [i10]Waixiang Cao, Chunmei Wang, Junping Wang:
An Lp-Primal-Dual Weak Galerkin method for div-curl Systems. CoRR abs/2208.01770 (2022) - [i9]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 abs/2211.04678 (2022) - 2021
- [i8]Waixiang Cao, Dongfang Li, Zhimin Zhang:
Unconditionally optimal convergence of an energy-conserving and linearly implicit scheme for nonlinear wave equations. CoRR abs/2103.04700 (2021) - [i7]Waixiang Cao, Lueling Jia, Zhimin Zhang:
A C1-conforming Petrov-Galerkin method for convection-diffusion equations and superconvergence ananlysis over rectangular meshes. CoRR abs/2103.07628 (2021) - [i6]Waixiang Cao, Junping Wang, Yuesheng Xu:
An Lp-weak Galerkin method for second order elliptic equations in non-divergence form. CoRR abs/2106.03191 (2021) - [i5]Xinyue Zhang, Waixiang Cao:
Superconvergence of the Direct Discontinuous Galerkin Method for Two-Dimensional Nonlinear Convection-Diffusion Equations. CoRR abs/2111.03986 (2021) - [i4]Waixiang Cao, Chunmei Wang, Junping Wang:
An Lp- Primal-Dual Weak Galerkin Method for Convection-Diffusion Equations. CoRR abs/2111.11005 (2021) - 2020
- [i3]Waixiang Cao, Chunmei Wang:
New Primal-Dual Weak Galerkin Finite Element Methods for Convection-Diffusion Problems. CoRR abs/2001.06847 (2020) - [i2]Waixiang Cao, Lueling Jia, Zhimin Zhang:
A C1 Petrov-Galerkin method and Gauss collocation method for 1D general elliptic problems and superconvergence. CoRR abs/2002.02266 (2020) - [i1]Waixiang Cao, Chunmei Wang, Junping Wang:
A New Primal-Dual Weak Galerkin Method for Elliptic Interface Problems with Low Regularity Assumptions. CoRR abs/2010.14564 (2020)
Coauthor Index
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