Mesh selection for a nearly singular boundary value problem

DOI10.1023/A:1013250525615zbMath0998.65079OpenAlexW1548726550MaRDI QIDQ5960024

Robert D. Russell, Chris J. Budd, Hua-xiong Huang

Publication date: 11 April 2002

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1013250525615

zbMATH Keywords

convergencesingular perturbationnumerical testsShishkin meshmesh adaptationasymptotic error analysiscentral difference schemeboundary-value-problemsequidistribution principle

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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