Monotone iterates with quadratic convergence rate for solving weighted average approximations to semilinear parabolic problems (Q632871)
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scientific article; zbMATH DE number 5870904
| Language | Label | Description | Also known as |
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| English | Monotone iterates with quadratic convergence rate for solving weighted average approximations to semilinear parabolic problems |
scientific article; zbMATH DE number 5870904 |
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Monotone iterates with quadratic convergence rate for solving weighted average approximations to semilinear parabolic problems (English)
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28 March 2011
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The paper deals with discrete monotone iterative methods for solving semilinear singularly perturbed parabolic problems. Monotone sequences, based on the accelerated monotone iterative method, are constructed for a nonlinear difference scheme which approximates the semilinear parabolic problem. This monotone convergence leads to an existence-uniqueness theorem. An analysis of convergence of the monotone iterative method to the solutions of the nonlinear difference scheme is given. Numerical experiments are presented.
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semilinear parabolic problem
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weighted average scheme
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monotone iterative method
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quadratic convergence rate
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singular perturbation
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nonlinear difference scheme
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numerical experiments
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