Geometrically adaptive grids for stiff Cauchy problems

DOI10.1134/S1064562416010129zbMath1341.65026MaRDI QIDQ294358

F. Blanchet-Sadri, M. Dambrine

Publication date: 16 June 2016

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

algorithmCauchy problemRichardson methoderror boundmesh refinementstiff problemstep size selectionnumerical exmple

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical methods for stiff equations (65L04)

Related Items (3)

Reciprocal function method for Cauchy problems with first-order poles ⋮ Efficient numerical integration methods for the Cauchy problem for stiff systems of ordinary differential equations ⋮ Explicit methods for integrating stiff Cauchy problems

Uses Software

• RODAS

Cites Work

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• Inverse \(Ls\)-stable Runge-Kutta schemes
• Computations with inverse Runge-Kutta schemes
• The MATLAB ODE Suite

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