A Two-Grid Algorithm for Solution of the Difference Equations of a System of Singularly Perturbed Semilinear Equations

DOI10.1007/978-3-642-00464-3_68zbMath1233.65098OpenAlexW1519800926MaRDI QIDQ3615704

A. I. Zadorin, Lubin G. Vulkov

Publication date: 24 March 2009

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-00464-3_68

zbMATH Keywords

algorithmiterative methoddifference schemeNewton methodtwo-grid algorithmcomputational costcoarse meshfine meshIlin schemenonlinear algebraic system of difference equations

Mathematics Subject Classification ID

Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11) Numerical methods for difference equations (65Q10)

Cites Work

• Interpolation of functions with boundary layer components and its application in a two-grid method
• On mesh independence and Newton-type methods
• Numerical solution of a boundary value problem for a set of equations with a small parameter
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Two-grid Interpolation Algorithms for Difference Schemes of Exponential Type for Semilinear Diffusion Convection-Dominated Equations
• Comparison of the Two-grid Method on Different Meshes for Singularly Perturbed Semilinear Problems
• Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
• A Novel Two-Grid Method for Semilinear Elliptic Equations

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