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

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作者
Volkov, VY
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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.
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页码:627 / 632
页数:6
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