Practical improvements to SIMPR codes for stiff ODEs

DOI10.1016/0096-3003(89)90126-4zbMath0678.65048OpenAlexW4237976969MaRDI QIDQ1124287

Lawrence F. Shampine

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0096-3003(89)90126-4

zbMATH Keywords

stabilitystiff systemsextrapolationcomparisonsautonomous formscaled stepsizessemi-implicit mid-point rule

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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (3)

A simple step size selection algorithm for ODE codes ⋮ Design of software for ODEs ⋮ Ill-conditioned matrices and the integration of stiff ODEs

Cites Work

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• Order and stepsize control in extrapolation methods
• A semi-implicit mid-point rule for stiff systems of ordinary differential equations
• Control of step size and order in extrapolation codes
• Smoothing the extrapolated midpoint rule
• Recent Progress in Extrapolation Methods for Ordinary Differential Equations
• The solution of a combustion problem with Rosenbrock methods
• Implementation of Rosenbrock Methods
• Comparing numerical methods for stiff systems of O.D.E:s

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