高阶非线性偏微分方程的高效数值方法及应用

11871106
2018
A0501.算法基础理论与构造方法
曹外香
面上项目
副教授
北京师范大学
54万元
时空全离散格式;高精度分析;误差估计;高阶非线性方程;局部间断有限元方法
2019-01-01到2022-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
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序号 标题 类型 作者
1 An Efficient Spectral Petrov-Galerkin Method for Nonlinear Hamiltonian Systems 期刊论文 An Jing;Cao Waixiang;Zhang Zhimin
2 A C1-conforming Petrov-Galerkin method for convection-diffusion equations and superconvergence analysis over rectangular meshes 期刊论文 Cao Waixiang;Lueling Jia;Zhang Zhimin
3 Superconvergence Analysis of the Ultra-Weak Local Discontinuous Galerkin Method for One Dimensional Linear Fifth Order Equations 期刊论文 Tao Qi;Cao Waixiang;Zhang Zhimin
4 An accurate and efficient algorithm for the time-fractional molecular beam epitaxy model with slope selection 期刊论文 Chen Lizhen;Zhang Jun;Zhao Jia;Cao Waixiang;Wang Hong;Zhang Jiwei
5 An Lp-primal-dual weak Galerkin method for div-curl systems 期刊论文 Cao Waixiang;Wang Chunmei;Wang Junping
6 Analysis of Spectral Volume Methods for 1D Linear Scalar Hyperbolic Equations 期刊论文 Cao Waixiang;Zou Qingsong
7 A C1 Petrov-Galerkin method and Gauss collocation method for 1D general elliptic problems and superconvergence 期刊论文 Cao Waixiang;Jia Lueling;Zhang Zhimin
8 Spectral approximation based on a mixed scheme and its error estimates for transmission eigenvalue problems 期刊论文 Tan Ting;Cao Waixiang;An Jing
9 New primal-dual weak Galerkin finite element methods for convection-diffusion problems 期刊论文 Cao Waixiang;Wang Chunmei
10 Optimal Error Estimates of a Linearized Crank-Nicolson Galerkin FEM for the Kuramoto-Tsuzuki Equations 期刊论文 Li Dongfang;Cao Waixiang;Zhang Chengjian;Zhang Zhimin
11 A class of efficient spectral methods and error analysis for nonlinear Hamiltonian systems 期刊论文 An Jing;Cao Waixiang;Zhang Zhimin
12 An Lp- Primal-Dual Weak Galerkin Method for Convection-Diffusion Equations 期刊论文 Cao Waixiang;Wang Chunmei;Wang Junping
13 A New Primal-Dual Weak Galerkin Method for Elliptic Interface Problems with Low Regularity Assumptions 期刊论文 Cao Waixiang;Wang Chunmei;Wang Junping
14 Unconditionally optimal convergence of an energy-conserving and linearly implicit scheme for nonlinear wave equations 期刊论文 Cao Waixiang;Li Dongfang;Zhang Zhimin
15 A Class of Efficient Hamiltonian Conservative Spectral Methods for Korteweg-de Vries Equations 期刊论文 Yin Xu;Cao Waixiang
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