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Nonlinear Galerkin method for reaction-diffusion systems admitting invariant regions - MaRDI portal

Nonlinear Galerkin method for reaction-diffusion systems admitting invariant regions (Q5948573)

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scientific article; zbMATH DE number 1669984
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Nonlinear Galerkin method for reaction-diffusion systems admitting invariant regions
scientific article; zbMATH DE number 1669984

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    Nonlinear Galerkin method for reaction-diffusion systems admitting invariant regions (English)
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    18 July 2002
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    Weakly nonlinear reaction-diffusion systems are considered. Using a complete \(L^2\) orthonormal basis the concept of nonlinear Galerkin methods is applied. Convergence is shown for systems possessing bounded convex invariant regions. Finally, numerical experiments with Brusselator systems complete the paper.
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    weakly nonlinear reaction-diffusion systems
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    nonlinear Galerkin methods
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    invariant regions
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    convergence
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    numerical experiments
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    Brusselator systems
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