Automatic selection of the initial step size for an ODE solver

DOI10.1016/0377-0427(87)90015-XzbMath0623.65080OpenAlexW2001959923MaRDI QIDQ1091773

R. W. Brankin, Ian Gladwell, 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)90015-x

zbMATH Keywords

stiff problemsrobust algorithmstep size selectionnon-stiff problemsRunge-Kutta codesstarting phase

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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Uses Software

• nag
• dverk

Cites Work

• Unnamed Item
• Unnamed Item
• Starting step size for an ODE solver
• Some Practical Runge-Kutta Formulas
• Initial Value Routines in the NAG Library
• Comparing numerical methods for stiff systems of O.D.E:s
• Limiting Precision in Differential Equation Solvers
• Comparing Numerical Methods for Ordinary Differential Equations

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