Superconvergence of Any Order Finite Volume Schemes for 1D General Elliptic Equations. - Waixiang Cao; Zhimin Zhang 002; Qingsong Zou (J. Sci. Comput., 2013)

Analysis of a p–version finite volume method for 1D elliptic problems. - Waixiang Cao; Zhimin Zhang 002; Qingsong Zou (J. Comput. Appl. Math., 2014)

Superconvergence of Discontinuous Galerkin Methods for Linear Hyperbolic Equations. - Waixiang Cao; Zhimin Zhang 002; Qingsong Zou (SIAM J. Numer. Anal., 2014)

Superconvergence of Discontinuous Galerkin Methods for Two-Dimensional Hyperbolic Equations. - Waixiang Cao; Chi-Wang Shu; Yang Yang 014; Zhimin Zhang 002 (SIAM J. Numer. Anal., 2015)

Is 2k-Conjecture Valid for Finite Volume Methods? - Waixiang Cao; Zhimin Zhang 002; Qingsong Zou (SIAM J. Numer. Anal., 2015)

Superconvergence of Local Discontinuous Galerkin methods for one-dimensional linear parabolic equations. - Waixiang Cao; Zhimin Zhang 002 (Math. Comput., 2016)

Superconvergence of immersed finite element methods for interface problems. - Waixiang Cao; Xu Zhang 003; Zhimin Zhang 002 (Adv. Comput. Math., 2017)

Superconvergence of Local Discontinuous Galerkin Methods for Partial Differential Equations with Higher Order Derivatives. - Waixiang Cao; Qiumei Huang (J. Sci. Comput., 2017)

Superconvergence of Immersed Finite Volume Methods for One-Dimensional Interface Problems. - Waixiang Cao; Xu Zhang 003; Zhimin Zhang 002; Qingsong Zou (J. Sci. Comput., 2017)

Superconvergence of Local Discontinuous Galerkin Method for One-Dimensional Linear Schrödinger Equations. - Lingling Zhou; Yan Xu 008; Zhimin Zhang 002; Waixiang Cao (J. Sci. Comput., 2017)

Some Recent Developments in Superconvergence of Discontinuous Galerkin Methods for Time-Dependent Partial Differential Equations. - Waixiang Cao; Zhimin Zhang 002 (J. Sci. Comput., 2018)

Correction to: Superconvergence of Immersed Finite Volume Methods for One-Dimensional Interface Problems. - Waixiang Cao; Xu Zhang 003; Zhimin Zhang 002; Qingsong Zou (J. Sci. Comput., 2018)

Superconvergence of Discontinuous Galerkin Method for Scalar Nonlinear Hyperbolic Equations. - Waixiang Cao; Chi-Wang Shu; Yang Yang 014; Zhimin Zhang 002 (SIAM J. Numer. Anal., 2018)

An accurate and efficient algorithm for the time-fractional molecular beam epitaxy model with slope selection. - Lizhen Chen; Jun Zhang 047; Jia Zhao 004; Waixiang Cao; Hong Wang 018; Jiwei Zhang 002 (Comput. Phys. Commun., 2019)

New Primal-Dual Weak Galerkin Finite Element Methods for Convection-Diffusion Problems. - Waixiang Cao; Chunmei Wang (CoRR, 2020)

A C1 Petrov-Galerkin method and Gauss collocation method for 1D general elliptic problems and superconvergence. - Waixiang Cao; Lueling Jia; Zhimin Zhang 002 (CoRR, 2020)

Unconditionally optimal convergence of an energy-conserving and linearly implicit scheme for nonlinear wave equations. - Waixiang Cao; Dongfang Li; Zhimin Zhang 002 (CoRR, 2021)

A C1-conforming Petrov-Galerkin method for convection-diffusion equations and superconvergence ananlysis over rectangular meshes. - Waixiang Cao; Lueling Jia; Zhimin Zhang 002 (CoRR, 2021)

An Lp-weak Galerkin method for second order elliptic equations in non-divergence form. - Waixiang Cao; Junping Wang; Yuesheng Xu (CoRR, 2021)

Superconvergence of the Direct Discontinuous Galerkin Method for Two-Dimensional Nonlinear Convection-Diffusion Equations. - Xinyue Zhang; Waixiang Cao (CoRR, 2021)

An Lp- Primal-Dual Weak Galerkin Method for Convection-Diffusion Equations. - Waixiang Cao; Chunmei Wang; Junping Wang (CoRR, 2021)

Superconvergence Analysis of the Ultra-Weak Local Discontinuous Galerkin Method for One Dimensional Linear Fifth Order Equations. - Qi Tao; Waixiang Cao; Zhimin Zhang 002 (J. Sci. Comput., 2021)

Spectral approximation based on a mixed scheme and its error estimates for transmission eigenvalue problems. - Ting Tan; Waixiang Cao; Jing An (Comput. Math. Appl., 2022)

An Lp-Primal-Dual Weak Galerkin method for div-curl Systems. - Waixiang Cao; Chunmei Wang; Junping Wang (CoRR, 2022)

Two types of spectral volume methods for 1-D linear hyperbolic equations with degenerate variable coefficients. - Minqiang Xu; Yanting Yuan; Waixiang Cao; Qingsong Zou (CoRR, 2022)

A new primal-dual weak Galerkin method for elliptic interface problems with low regularity assumptions. - Waixiang Cao; Chunmei Wang; Junping Wang (J. Comput. Phys., 2022)

Analysis of Spectral Volume Methods for 1D Linear Scalar Hyperbolic Equations. - Waixiang Cao; Qingsong Zou (J. Sci. Comput., 2022)

A $C^1$ Conforming Petrov-Galerkin Method for Convection-Diffusion Equations and Superconvergence Analysis over Rectangular Meshes. - Waixiang Cao; Lueling Jia; Zhimin Zhang 002 (SIAM J. Numer. Anal., 2022)

An Lp- primal-dual weak Galerkin method for convection-diffusion equations. - Waixiang Cao; Chunmei Wang; Junping Wang (J. Comput. Appl. Math., 2023)

An Lp- primal-dual weak Galerkin method for div-curl systems. - Waixiang Cao; Chunmei Wang; Junping Wang (J. Comput. Appl. Math., 2023)

A Class of Efficient Hamiltonian Conservative Spectral Methods for Korteweg-de Vries Equations. - Xu Yin; Waixiang Cao (J. Sci. Comput., 2023)

Unified Analysis of Any Order Spectral Volume Methods for Diffusion Equations. - Waixiang Cao (J. Sci. Comput., 2023)

A novel spectral method and error estimates for fourth-order problems with mixed boundary conditions in a cylindrical domain. - Jihui Zheng; Waixiang Cao; Jing An (Comput. Math. Appl., 2023)

Error estimates of the direct discontinuous Galerkin method for two-dimensional nonlinear convection-diffusion equations: Superconvergence analysis. - Xinyue Zhang; Waixiang Cao (J. Comput. Appl. Math., 2024)

A Novel Mixed Spectral Method and Error Estimates for Maxwell Transmission Eigenvalue Problems. - Jing An; Waixiang Cao; Zhimin Zhang 002 (SIAM J. Numer. Anal., 2024)

An Oscillation-Free Spectral Volume Method for Hyperbolic Conservation Laws. - Xinyue Zhang; Liang Pan; Waixiang Cao (J. Sci. Comput., 2024)

Multiple-GPU accelerated high-order gas-kinetic scheme on three-dimensional unstructured meshes. - Yuhang Wang; Waixiang Cao; Liang Pan (Comput. Phys. Commun., 2025)

Spectral approximation and error analysis for the transmission eigenvalue problem with an isotropic inhomogeneous medium. - Ting Tan; Waixiang Cao (J. Comput. Appl. Math., 2025)

The positivity-preserving high-order semi-Lagrangian spectral volume method for Vlasov-Poisson equations. - Xinyue Zhang; Xiaofeng Cai; Waixiang Cao (CoRR, 2025)