一类奇异与分数阶方程的新型谱方法

11871455
2018
A0501.算法基础理论与构造方法
李会元
面上项目
研究员
中国科学院软件研究所
52万元
分数阶拉普拉斯;边界奇性;谱与谱元方法;指数收敛;反幂势函数薛定谔方程
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 Numerical analysis on the mortar spectral element methods for Schrodinger eigenvalue problem with an inverse square potential 期刊论文 Lueling Jia;Huiyuan Li;Zhimin Zhang
2 Optimal error estimates for Chebyshev approximations of functions with limited regularity in fractional Sobolev-type spaces 期刊论文 Wenjie Liu;Li-Lian Wang;Huiyuan Li
3 A mortar spectral element method for full-potential electronic structure calculations 期刊论文 Yichen Guo;Lueling Jia;Huajie Chen;Huiyuan Li;Zhimin Zhang
4 Efficient Hermite spectral-Galerkin methods for nonlocal diffusion equations in unbounded domains 期刊论文 Huiyuan Li;Ruiqing Liu;Li-Lian Wang
5 A posteriori Error estimates of spectral approximations for second order partial dif- ferential equations in spherical geometries 期刊论文 Jianwei Zhou;Huiyuan Li;Zhimin Zhang
6 C1-Conforming quadrilateral spectral element method for fourth-order equations 期刊论文 Huiyuan Li;Weikun Shan;Zhimin Zhang
7 Spectral-Galerkin approximation and optimal error estimate for biharmonic eigenvalue problems in circular/spherical/elliptical domains 期刊论文 Jing An;Huiyuan Li;Zhimin Zhang
8 Efficient space-time Jacobi rational spectral methods for second order time-dependent problems on unbounded domains 期刊论文 Tiangong Zhang;Huiyuan Li;Zhongqing Wang
9 A new collocation method using near-minimal Chebyshev quadrature nodes on a square 期刊论文 Jiajia Pan;Huiyuan Li
10 H(curl2)-conforming spectral element method for quad-curl problems. 期刊论文 Lixiu Wang;Huiyuan Li;Zhimin Zhang
11 H (curl2 )-conforming quadrilateral spectral element method for quad-curl problems 期刊论文 Lixiu Wang;Weikun Shan;Huiyuan Li;Zhimin Zhang
12 Sharp error estimates of a spectral Galerkin method fo ra diffusion-reaction equation with integral fractional Laplacian on a disk 期刊论文 Zhaopeng Hao;Huiyuan Li;Zhimin Zhang;Zhongqiang Zhong
13 A penalized weak Galerkin spectral element method for second order elliptic equations 期刊论文 Jiajia Pan;Huiyuan Li
14 Nontensorial generalised Hermite spectral methods for PDEs with fractional Laplacian and Schrödinger operators 期刊论文 Changtao Sheng;Suna Ma;Huiyuan Li;Li-Lian Wang;Lueling Jia
15 Sparse spectral-Galerkin method on an arbitrary tetrahedron using generalized Koornwinder polynomials. 期刊论文 Lueling Jia;Huiyuan Li;Zhimin Zhang
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