Interpolation for variable order, Runge-Kutta methods

DOI10.1016/0898-1221(87)90133-7zbMath0637.65067OpenAlexW1965629099MaRDI QIDQ1098579

Lawrence F. Shampine

Publication date: 1987

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(87)90133-7

zbMATH Keywords

interpolationdefect correctionsystemEuler's methodExtrapolationvariable order Runge-Kutta method

Mathematics Subject Classification ID

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

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A continuous implementation of a second-variation optimal control method for space trajectory problems ⋮ Improving the efficiency of the multiple shooting technique ⋮ Local error estimation by doubling

Cites Work

• Unnamed Item
• On the order of iterated defect correction. An algebraic proof
• Output in extrapolation codes
• Interpolation for Runge–Kutta Methods
• Recent Progress in Extrapolation Methods for Ordinary Differential Equations
• Runge-Kutta triples
• A Simple Interpolation Algorithm for Improvement of the Numerical Solution of a Differential Equation

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