Asymptotically fast approximate methods of solving Laplace's difference equation in a cube

被引：0

作者：

Volkov, VY

机构：

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 1996年 / 36卷 / 05期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Dirichlet's problem for Laplace's difference equation in a cube is investigated. A method of solving it with prescribed uniform accuracy on a set of grid nodes in a plane section of the cube is proposed. Asymptotically fast approximate methods for solving Dirichlet's problem in the entire grid cube which use one or two additions per node are described, and explicit error estimates are given. Copyright (C) 1996 Elsevier Science Ltd.

引用

页码：627 / 632

页数：6

共 50 条

[1] ON QUICK APPROXIMATE METHODS FOR SOLVING THE DIFFERENCE LAPLACE EQUATION IN CUBE
VOLKOV, VE
DOKLADY AKADEMII NAUK, 1994, 336 (01) : 11 - 13
[2] ON THE ASYMPTOTICALLY RAPID APPROXIMATE METHOD OF OBTAINING THE SOLUTION OF THE DIFFERENCE LAPLACE EQUATION ON THE NET SEGMENTS
VOLKOV, EA
DOKLADY AKADEMII NAUK SSSR, 1984, 279 (02): : 285 - 290
[3] APPROXIMATE METHOD OF THE LAPLACE DIFFERENCE EQUATION SOLUTION PERFORMED ASYMPTOTICALLY IN ONE AND 2 ADDITIONS PER NODE
ROMANOVA, SE
DOKLADY AKADEMII NAUK SSSR, 1983, 273 (01): : 49 - 54
[4] RS))CONSTRUCTION OF DIFFERENCE EQUATIONS FOR AN APPROXIMATE SOLUTION OF LAPLACE EQUATION
BAKHVALOV, NS
DOKLADY AKADEMII NAUK SSSR, 1957, 114 (06): : 1146 - 1148
[5] A Highly Accurate Difference Method for Solving the Dirichlet Problem for Laplace's Equation on a Rectangle
Dosiyev, Adiguzel A.
Sarikaya, Hediye
INTERNATIONAL CONFERENCE FUNCTIONAL ANALYSIS IN INTERDISCIPLINARY APPLICATIONS (FAIA2017), 2017, 1880
[6] Discrete null field equation methods for solving Laplace's equation: Boundary layer computations
Zhang, Li-Ping
Li, Zi-Cai
Lee, Ming-Gong
Huang, Hung-Tsai
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2024, 40 (04)
[7] AN ECONOMIC METHOD FOR THE APPROXIMATE SOLUTION OF LAPLACE DIFFERENCE EQUATION IN RECTANGULAR REGIONS
ROMANOVA, CE
USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1983, 23 (03): : 92 - 101
[8] APPROXIMATE SOLUTIONS OF THE TELEGRAPHERS EQUATION BY DIFFERENCE-EQUATION METHODS
MIRACLE, CL
JOURNAL OF THE SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS, 1962, 10 (03): : 517 - 527
[9] AN INTEGRO-DIFFERENCE METHOD OF SOLVING THE DIRICHLET PROBLEM FOR LAPLACE EQUATION
KHOROMSKII, BN
USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1984, 24 (01): : 32 - 39
[10] Interval Difference Methods for Solving the Poisson Equation
Marciniak, Andrzej
Hoffmann, Tomasz
DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATIONS, 2018, 230 : 259 - 270

← 1 2 3 4 5 →