Explicit methods for mildly stiff oscillatory systems

DOI10.1007/BF01933176zbMath0743.65067OpenAlexW2049195059MaRDI QIDQ1182613

Leif Abrahamsson, Heinz-Otto Kreiss

Publication date: 28 June 1992

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01933176

zbMATH Keywords

stabilityerror controloscillatory systemsexplicit methodslocal error estimatorNumerical examplesmildly stiffPECE Adams method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) 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)

Related Items (1)

Best predictor-corrector methods for first order VIDEs with solutions damped at infinity

Uses Software

• IMSL Numerical Libraries

Cites Work

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• Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations
• A family of embedded Runge-Kutta formulae
• Stability of explicit time discretizations for solving initial value problems
• Some Practical Runge-Kutta Formulas
• Problems with Different Time Scales for Ordinary Differential Equations
• On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations
• Difference Methods for Stiff Ordinary Differential Equations

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