UNIGE document Scientific Article
previous document  unige:12532  next document
add to browser collection
Title

Multistep-multistage-multiderivative methods for ordinary differential equations

Authors
Published in Computing. 1973, vol. 11, no. 3, p. 287-303
Abstract This paper studies a general method for the numerical integration of ordinary differential equations. The method, defined in part 1, contains many known processes as special case, such as multistep methods, Runge-Kutta methods (multistage), Taylor, series (multiderivative) and their extensions (section 2). After a short section on trees and pairs of trees we derive formulas for the conditions to be satisfied by the free parameters in order to equalize the numerical approximation with the solution up to a certain order. Next we extend the reuslts of Kastlunger [6]. The proof given here is shorter than the original one. Finally we discuss formulas, with the help of which the conditions for the parameters can be reduced considerably and give numerical examples.
Identifiers
Full text
Structures
Citation
(ISO format)
HAIRER, Ernst, WANNER, Gerhard. Multistep-multistage-multiderivative methods for ordinary differential equations. In: Computing, 1973, vol. 11, n° 3, p. 287-303. https://archive-ouverte.unige.ch/unige:12532

228 hits

4 downloads

Update

Deposited on : 2010-11-19

Export document
Format :
Citation style :