Abstract
Numerical methods for ordinary differential equations fall naturally into two classes: those which use one starting value at each step (“one-step methods”) and those which are based on several values of the solution (“multistep methods” or “multi-value methods”). The present chapter is devoted to the study of one-step methods, while multistep methods are the subject of Chapter III. Both chapters can, to a large extent, be read independently of each other.
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© 2008 Springer-Verlag Berlin Heidelberg
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(2008). Runge-Kutta and Extrapolation Methods. In: Solving Ordinary Differential Equations I. Springer Series in Computational Mathematics, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78862-1_2
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DOI: https://doi.org/10.1007/978-3-540-78862-1_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-56670-0
Online ISBN: 978-3-540-78862-1
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