Reciprocal polynomial extrapolation vs Richardson extrapolation for singular perturbed boundary problems

DOI10.1007/s11075-012-9555-0zbMath1262.65078OpenAlexW2040834504MaRDI QIDQ695047

M. C. Fu

Publication date: 20 December 2012

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-012-9555-0

zbMATH Keywords

stabilitynumerical exampleserror estimateextrapolation techniquesingularly perturbed boundary-value problemsuniform and nonuniform meshes

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Singular perturbations for ordinary differential equations (34E15) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (3)

On a Power WENO Scheme with Improved Accuracy Near Discontinuities ⋮ On a class of splines free of Gibbs phenomenon ⋮ β-reciprocal polynomials

Cites Work

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• On the extrapolation for a singularly perturbed boundary value problem
• Partitioned adaptive Runge-Kutta methods for the solution of nonstiff and stiff systems
• A study of Rosenbrock-type methods of high order
• Richardson Extrapolation and Defect Correction of Finite Element Methods for Optimal Control Problem
• Extrapolation Using a Modified Projection Method
• Higher order schemes and Richardson extrapolation for singular perturbation problems
• A Fast Adaptive Numerical Method for Stiff Two-Point Boundary Value Problems
• Linearly implicit time discretization of non-linear parabolic equations

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