Extending convergence theory for nonlinear stiff problems. I

DOI10.1007/BF01733784zbMath0863.65040MaRDI QIDQ2565267

Reinhard Frank, Gabriela Kirlinger, Winfried Auzinger

Publication date: 11 March 1997

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

convergenceimplicit Euler methodstiff differential equationsstrongly attractive, smooth, invariant manifold

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70) Multiple scale methods for ordinary differential equations (34E13)

Related Items

A NORMAL FORM FOR MULTISTEP COMPANION MATRICES, Extending convergence of BDF methods for a class of nonlinear strongly stiff problems, Linear multistep methods applied to stiff initial value problems -- a survey, Vienna contributions to the development of RK-methods, Extending convergence theory for nonlinear stiff problems. I, Stability and $B$-convergence properties of multistep Runge-Kutta methods, Modified defect correction algorithms for ODEs. II: Stiff initial value problems

Uses Software

• RODAS

Cites Work

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• Extending convergence theory for nonlinear stiff problems. I
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• Order Results for Implicit Runge–Kutta Methods Applied to Stiff Systems
• The Concept of B-Convergence
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• Iterated defect correction for the efficient solution of stiff systems of ordinary differential equations