Solution of structured non-stiff ODEs

DOI10.1016/0377-0427(86)90220-7zbMath0594.65048OpenAlexW1969402770MaRDI QIDQ1077136

Lawrence F. Shampine

Publication date: 1986

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(86)90220-7

zbMATH Keywords

Runge-Kutta methodsevaluation of functionsnon-stiff system

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)

Efficiency comparisons of methods for integrating ODEs ⋮ On the simultaneous numerical integration of an IVP and its associated variational equation

Uses Software

• Algorithm 627
• DEPAC

Cites Work

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• An automatic orthonormalization method for solving stiff boundary-value problems
• Theory and performance of a subroutine for solving Volterra integral equations
• A comparison of several invariant imbedding algorithms for the solution of two-point boundary-value problems
• A note on solving Volterra integral equations with convolution kernels
• An Efficient Algorithm for Solving General Linear Two-Point BVP
• Interpolation for Runge–Kutta Methods
• Some Practical Runge-Kutta Formulas
• Computational Solution of Linear Two-Point Boundary Value Problems via Orthonormalization
• Fourth- and Fifth-Order, Scaled Rungs–Kutta Algorithms for Treating Dense Output
• The automatic integration of ordinary differential equations
• Comparing Error Estimators for Runge-Kutta Methods

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