scientific article; zbMATH DE number 7485191
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Publication:5862237
zbMath1499.65323MaRDI QIDQ5862237
M. L. Pickett, Helen Purtill, Natalia Kopteva
Publication date: 7 March 2022
Full work available at URL: https://www.global-sci.org/intro/article_detail/ijnam/791.html
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domain decompositionboundary layerssingularly perturbedsemilinear reaction-diffusionoverlapping Schwarz method
Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12)
Related Items (5)
A class of difference schemes uniformly convergent on a modified Bakhvalov mesh ⋮ An Asymptotic-Numerical Method for a Class of Weakly Coupled System of Singularly Perturbed Convection-Diffusion Equations ⋮ Parameter-uniform numerical methods for general nonlinear singularly perturbed reaction diffusion problems having a stable reduced solution ⋮ An almost fourth order uniformly convergent domain decomposition method for a coupled system of singularly perturbed reaction-diffusion equations ⋮ A Schwarz Technique for a System of Reaction Diffusion Equations with Differing Parameters
Cites Work
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- A second-order overlapping Schwarz method for a 2D singularly perturbed semilinear reaction-diffusion problem
- Maximum norm error analysis of a 2d singularly perturbed semilinear reaction-diffusion problem
- A uniformly convergent method for a singularly perturbed semilinear reaction–diffusion problem with multiple solutions
- Sufficient conditions for uniform convergence on layer-adapted grids
- A second-order parameter-uniform overlapping Schwarz method for reaction-diffusion problems with boundary layers
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