Control of step size and order in extrapolation codes

DOI10.1016/0377-0427(87)90052-5zbMath0619.65060OpenAlexW1999936434MaRDI QIDQ1089751

Lawrence F. Shampine

Publication date: 1987

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(87)90052-5

zbMATH Keywords

numerical experimentsstiff systemsextrapolationstepsize controlcode METAN1semi-implicit midpoint rule

Mathematics Subject Classification ID

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

Related Items (4)

The starting procedure in variable-stepsize variable-order PECE codes ⋮ Practical improvements to SIMPR codes for stiff ODEs ⋮ Existence of \(h^ 2\)-expansion for some extrapolation methods for solving autonomous higher order ODEs ⋮ Ill-conditioned matrices and the integration of stiff ODEs

Uses Software

• RKF45
• FACSIMILE

Cites Work

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• Output in extrapolation codes
• Order and stepsize control in extrapolation methods
• A semi-implicit mid-point rule for stiff systems of ordinary differential equations
• The art of writing a Runge-Kutta code. II
• Smoothing the extrapolated midpoint rule
• On the stability of semi-implicit methods for ordinary differential equations
• Efficient Extrapolation Methods for ODEs
• Efficient Extrapolation Methods for ODEs, II
• Recent Progress in Extrapolation Methods for Ordinary Differential Equations

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