Nonstationary monotone iterative methods for nonlinear partial differential equations (Q1034643)
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scientific article; zbMATH DE number 5626987
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonstationary monotone iterative methods for nonlinear partial differential equations |
scientific article; zbMATH DE number 5626987 |
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Nonstationary monotone iterative methods for nonlinear partial differential equations (English)
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6 November 2009
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Nonlinear parabolic equations have been extensively investigated by monotone iterative methods both analytically and numerically [e.g. \textit{C. V. Pao}, SIAM J. Numer. Anal. 24, 24--35 (1987; Zbl 0623.65100) and Numer. Math. 79, No.~2, 261--281 (1998; Zbl 0911.65075)]. The object of this paper is to extend the stationary monotone parameter to the nonstationary monotone parameter and to give comparison results by using Picard, Jacobi and Gauss-Seidel iterative methods.
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nonstationary monotone iterative method
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adaptive mesh
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numerical examples
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comparison of methods
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Picard iterative method
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Jacobi iterative method
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nonlinear parabolic equation
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Gauss-Seidel iterative method
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quantum corrected energy-transport model
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