Block monotone iterative methods for numerical solutions of nonlinear elliptic equations (Q1907135)
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scientific article; zbMATH DE number 839157
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Block monotone iterative methods for numerical solutions of nonlinear elliptic equations |
scientific article; zbMATH DE number 839157 |
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Block monotone iterative methods for numerical solutions of nonlinear elliptic equations (English)
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9 June 1996
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The problems considered are second-order nonlinear elliptic boundary-value problems on domains in the plane. The author shows that for the standard difference schemes there exists a preconditioning for which the corresponding block Picard, Jacobi, and Gauss-Seidel iterative methods converge monotonically. The efficacy of these methods is illustrated by an application to the logistic equation.
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block iterative methods
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monotone convergence
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second-order nonlinear elliptic boundary value problems
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difference schemes
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preconditioning
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logistic equation
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