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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
(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
Download citation
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
eBook Packages: Springer Book Archive