Automatic grid control in adaptive BVP solvers

DOI10.1007/s11075-010-9374-0zbMath1206.65198OpenAlexW2138968444MaRDI QIDQ621783

Ewa B. Weinmüller, Gernot Pulverer, Gustaf Söderlind

Publication date: 28 January 2011

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

Full work available at URL: https://lup.lub.lu.se/record/634028

zbMATH Keywords

singular perturbationnumerical examplesboundary value problemsadaptivitygrid generationfeedback controlstep size controlerror equidistributiongrid refinementsingular problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) 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)

Related Items (8)

Asymptotic properties of the space-time adaptive numerical solution of a nonlinear heat equation ⋮ Density profile equation with \(p\)-Laplacian: analysis and numerical simulation ⋮ An efficient sinc-collocation method via the DE transformation for eighth-order boundary value problems ⋮ An Analysis of the Reliability of Error Control B-Spline Gaussian Collocation PDE Software ⋮ The impact of smooth \(W\)-grids in the numerical solution of singular perturbation two-point boundary value problems ⋮ Near critical, self-similar, blow-up solutions of the generalised Korteweg-de Vries equation: asymptotics and computations ⋮ Collocation method for the modeling of membrane gas permeation systems ⋮ Mesh selection strategies of the code TOM for boundary value problems

Uses Software

• COLNEW
• bvp4c
• COLSYS
• Sbvp

Cites Work

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