人工边界条件快速算法的理论及其应用

11771248
2017
A0501.算法基础理论与构造方法
郑春雄
面上项目
教授
清华大学
48万元
快速算法;人工边界条件;解析算子族;收敛性与稳定性;有理逼近
2018-01-01到2021-12-31
  • 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 Numerical Solution of the Nonlocal Diffusion Equation on the Real Line 期刊论文 Zheng Chunxiong;Hu Jiashun;Du Qiang;Zhang Jiwei
2 Extended WKB analysis for the linear vectorial wave equation in the high-frequency regime 期刊论文 Chunxiong Zheng;Jiashun Hu
3 Numerical Computations of Nonlocal Schrödinger Equations on the Real Line 期刊论文 Yan Yonggui;Zhang Jiwei;Zheng Chunxiong
4 Fast Algorithm for the Three-Dimensional Poisson Equation in Infinite Domains 期刊论文 Zheng Chunxiong;Ma Xiang
5 Optimal Error Estimate of the Extended-WKB Approximation to the High Frequency Wave-Type Equation in the Semi-classical Regime 期刊论文 Zheng Chunxiong;Hu Jiashun
6 STABILITY AND ERROR ANALYSIS FOR A SECOND-ORDER FAST APPROXIMATION OF THE LOCAL AND NONLOCAL DIFFUSION EQUATIONS ON THE REAL LINE 期刊论文 Zheng Chunxiong;Du Qiang;Ma Xiang;Zhang Jiwei
7 An efficient second-order finite difference method for the one-dimensional Schrödinger equation with absorbing boundary conditions 期刊论文 Buyang Li;Jiwei Zhang;Chunxiong Zheng
8 Fast evaluation of artificial boundary conditions for advection diffusion equations 期刊论文 Ting Sun;Jilu Wang;Chunxiong Zheng
9 Numerical solution of a two-dimensional nonlocal wave equation on unbounded domains 期刊论文 Qiang Du;Houde Han;Jiwei Zhang;Chunxiong Zheng
10 Fast Finite Element Method for the Three-Dimensional Poisson Equation in Infinite Domains 期刊论文 Ma Xiang;Zheng Chunxiong
11 Nonlocal Wave Propagation in Unbounded Multiscale Mediums 期刊论文 Du Qiang;Zhang Jiwei;Zheng Chunxiong
12 Global geometrical optics method for vector-valued Schrödinger problems 期刊论文 Hu Jiashun;Ma Xiang;Zheng Chunxiong
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