Fast direct solvers for the heat equation in simple geometries (Q1186911)
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scientific article; zbMATH DE number 37324
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fast direct solvers for the heat equation in simple geometries |
scientific article; zbMATH DE number 37324 |
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Fast direct solvers for the heat equation in simple geometries (English)
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28 June 1992
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The author suggests a method for reducing the 2(3)-dimensional heat equation on a rectangle (a parallelepiped) to a family of one-dimensional heat equations. In fact the method is an algorithm for reducing a factorizing two-layer difference scheme of second order of approximation to a sequence of one-dimensional difference schemes.
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fast direct solvers
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reduction of dimension
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operation count
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storage estimates
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Green's functions
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ADI methods
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stability
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heat equation
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algorithm
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two-layer difference scheme
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