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Numerical methods for solving linear elliptic PDEs: Direct solvers and high order accurate discretizations

机译：求解线性椭圆PDE的数值方法：直接求解器和高阶准确的离散化

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作者
Hao, Sijia;
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作者单位

University of Colorado at Boulder;

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授予单位 University of Colorado at Boulder;
学科
学位 Ph.D.
年度 2015
页码 229 p.
总页数 229
原文格式 PDF
正文语种 eng
中图分类 AAI3704713;
关键词
Direct solver; High-order discretization; Local mesh refinements; Scattering problem;

机译：直接求解器;高阶离散化;本地网格改进;散射问题;

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专利

1. A DIRECT SOLVER WITH O(N) COMPLEXITY FOR VARIABLE COEFFICIENT ELLIPTIC PDES DISCRETIZED VIA A HIGH-ORDER COMPOSITE SPECTRAL COLLOCATION METHOD [J] . A. GILLMAN, P. G. MARTINSSON SIAM Journal on Scientific Computing . 2014,第4期

机译：通过高阶复合谱集方法离散化具有可变系数椭圆Pdes的具有O（N）复杂度的直接求解器
2. A direct solver for variable coefficient elliptic PDEs discretized via a composite spectral collocation method [J] . Martinsson P.G. Journal of Computational Physics . 2013,第Null期

机译：通过复合谱搭配方法离散化的变系数椭圆PDE的直接求解器
3. Initial conditions for numerical relativity: Introduction to numerical methods for solving elliptic pdes [J] . Okawa H. International Journal of Modern Physics, A. Particles and Fields, Gravitation, Cosmology . 2013,第22a23期

机译：数值相对论的初始条件：求解椭圆pdes的数值方法简介
4. Numerical Method for Solving an Inverse Boundary Problem with Unknown Initial Conditions for Parabolic PDE Using Discrete Regularization [C] . Natalia M. Yaparova International conference on numerical analysis and its applications . 2017

机译：离散正则化求解抛物线偏微分方程初始条件未知的反边界问题的数值方法
5. Accelerated Time-Stepping of Parabolic and Hyperbolic PDEs via Fast Direct Solvers for Elliptic Problems [D] . Babb, T. 2019

机译：通过快速直接溶剂加速抛物线和双曲线PDE的加速时间级数，用于椭圆形问题
6. Numerical Algorithm Based on Haar-Sinc Collocation Method for Solving the Hyperbolic PDEs [O] . A. Pirkhedri, H. H. S. Javadi, H. R. Navidi -1

机译：基于Haar-Sinc配置方法的双曲型偏微分方程数值算法
7. A Direct Solver with $O(N)$ Complexity for Variable Coefficient Elliptic PDEs Discretized via a High-Order Composite Spectral Collocation Method [O] . A. Gillman, P. G. Martinsson 2014

机译：具有$ O（n）$ o（n）$复杂性的直接求解器，可通过高阶复合谱栓塞方法离散化的可变系数椭圆PDE
8. NUMERICAL METHODS FOR SOLVING LINEAR SYSTEMS AND APPLICATIONS TO ELLIPTIC DIFFERENCE EQUATIONS [R] . 1958

机译：求解线性系统的数值方法及其在椭圆型差分方程中的应用

Numerical methods for solving linear elliptic PDEs: Direct solvers and high order accurate discretizations

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