Waixiang Cao

Orcid: 0000-0003-2434-7300

According to our database1, Waixiang Cao authored at least 38 papers between 2013 and 2025.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2025
Spectral approximation and error analysis for the transmission eigenvalue problem with an isotropic inhomogeneous medium.
J. Comput. Appl. Math., 2025

2024
An Oscillation-Free Spectral Volume Method for Hyperbolic Conservation Laws.
J. Sci. Comput., April, 2024

A Novel Mixed Spectral Method and Error Estimates for Maxwell Transmission Eigenvalue Problems.
SIAM J. Numer. Anal., 2024

Error estimates of the direct discontinuous Galerkin method for two-dimensional nonlinear convection-diffusion equations: Superconvergence analysis.
J. Comput. Appl. Math., 2024

Multiple-GPU accelerated high-order gas-kinetic scheme on three-dimensional unstructured meshes.
CoRR, 2024

2023
A novel spectral method and error estimates for fourth-order problems with mixed boundary conditions in a cylindrical domain.
Comput. Math. Appl., December, 2023

Unified Analysis of Any Order Spectral Volume Methods for Diffusion Equations.
J. Sci. Comput., September, 2023

A Class of Efficient Hamiltonian Conservative Spectral Methods for Korteweg-de Vries Equations.
J. Sci. Comput., 2023

An Lp- primal-dual weak Galerkin method for div-curl systems.
J. Comput. Appl. Math., 2023

An Lp- primal-dual weak Galerkin method for convection-diffusion equations.
J. Comput. Appl. Math., 2023

2022
A $C^1$ Conforming Petrov-Galerkin Method for Convection-Diffusion Equations and Superconvergence Analysis over Rectangular Meshes.
SIAM J. Numer. Anal., 2022

Analysis of Spectral Volume Methods for 1D Linear Scalar Hyperbolic Equations.
J. Sci. Comput., 2022

A new primal-dual weak Galerkin method for elliptic interface problems with low regularity assumptions.
J. Comput. Phys., 2022

Two types of spectral volume methods for 1-D linear hyperbolic equations with degenerate variable coefficients.
CoRR, 2022

An L<sup>p</sup>-Primal-Dual Weak Galerkin method for div-curl Systems.
CoRR, 2022

Spectral approximation based on a mixed scheme and its error estimates for transmission eigenvalue problems.
Comput. Math. Appl., 2022

2021
Superconvergence Analysis of the Ultra-Weak Local Discontinuous Galerkin Method for One Dimensional Linear Fifth Order Equations.
J. Sci. Comput., 2021

An L<sup>p</sup>- Primal-Dual Weak Galerkin Method for Convection-Diffusion Equations.
CoRR, 2021

Superconvergence of the Direct Discontinuous Galerkin Method for Two-Dimensional Nonlinear Convection-Diffusion Equations.
CoRR, 2021

An L<sup>p</sup>-weak Galerkin method for second order elliptic equations in non-divergence form.
CoRR, 2021

A C<sup>1</sup>-conforming Petrov-Galerkin method for convection-diffusion equations and superconvergence ananlysis over rectangular meshes.
CoRR, 2021

Unconditionally optimal convergence of an energy-conserving and linearly implicit scheme for nonlinear wave equations.
CoRR, 2021

2020
A C<sup>1</sup> Petrov-Galerkin method and Gauss collocation method for 1D general elliptic problems and superconvergence.
CoRR, 2020

New Primal-Dual Weak Galerkin Finite Element Methods for Convection-Diffusion Problems.
CoRR, 2020

2019
An accurate and efficient algorithm for the time-fractional molecular beam epitaxy model with slope selection.
Comput. Phys. Commun., 2019

2018
Superconvergence of Discontinuous Galerkin Method for Scalar Nonlinear Hyperbolic Equations.
SIAM J. Numer. Anal., 2018

Correction to: Superconvergence of Immersed Finite Volume Methods for One-Dimensional Interface Problems.
J. Sci. Comput., 2018

Some Recent Developments in Superconvergence of Discontinuous Galerkin Methods for Time-Dependent Partial Differential Equations.
J. Sci. Comput., 2018

2017
Superconvergence of Local Discontinuous Galerkin Method for One-Dimensional Linear Schrödinger Equations.
J. Sci. Comput., 2017

Superconvergence of Immersed Finite Volume Methods for One-Dimensional Interface Problems.
J. Sci. Comput., 2017

Superconvergence of Local Discontinuous Galerkin Methods for Partial Differential Equations with Higher Order Derivatives.
J. Sci. Comput., 2017

Superconvergence of immersed finite element methods for interface problems.
Adv. Comput. Math., 2017

2016
Superconvergence of Local Discontinuous Galerkin methods for one-dimensional linear parabolic equations.
Math. Comput., 2016

2015
Is 2k-Conjecture Valid for Finite Volume Methods?
SIAM J. Numer. Anal., 2015

Superconvergence of Discontinuous Galerkin Methods for Two-Dimensional Hyperbolic Equations.
SIAM J. Numer. Anal., 2015

2014
Superconvergence of Discontinuous Galerkin Methods for Linear Hyperbolic Equations.
SIAM J. Numer. Anal., 2014

Analysis of a p--version finite volume method for 1D elliptic problems.
J. Comput. Appl. Math., 2014

2013
Superconvergence of Any Order Finite Volume Schemes for 1D General Elliptic Equations.
J. Sci. Comput., 2013


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