On the error structure of the implicit Euler scheme applied to stiff systems of differential equations

DOI10.1007/BF02241856zbMath0685.65062OpenAlexW1503195659MaRDI QIDQ1262092

Winfried Auzinger

Publication date: 1989

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02241856

zbMATH Keywords

asymptotic expansionsstiff systemimplicit Euler schemeextrapolation methodsglobal errorstiff eigenvalues

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (2)

Modern convergence theory for stiff initial-value problems ⋮ On error structures and extrapolation for stiff systems, with application in the method of lines

Cites Work

• A semi-implicit mid-point rule for stiff systems of ordinary differential equations
• Extrapolation at stiff differential equations
• On the extrapolation of Galerkin methods for parabolic problems
• Asymptotic expansions for the error of discretization algorithms for non- linear functional equations
• Semidiscretization in Time for Parabolic Problems
• Recent Progress in Extrapolation Methods for Ordinary Differential Equations
• Asymptotic Expansions of the Global Discretization Error for Stiff Problems
• The Extrapolation of First Order Methods for Parabolic Partial Differential Equations, II
• The Concept of B-Convergence
• The Extrapolation of First Order Methods for Parabolic Partial Differential Equations. I
• Asymptotic Error Expansions for Stiff Equations: The Implicit Euler Scheme

This page was built for publication: On the error structure of the implicit Euler scheme applied to stiff systems of differential equations