Multistep Methods for a Class of Higher Order Differential Problems: Convergence and Error Bounds

Multistep Methods for a Class of Higher Order Differential Problems: Convergence and Error Bounds

Year:    1994

Author:    Lucas Jódar, José luis Morera, Gregorio Rubio

Journal of Computational Mathematics, Vol. 12 (1994), Iss. 3 : pp. 273–290

Abstract

In this paper multistep methods for higher order differential systems of the type $Y^{(r)}=f(t,Y)$ are proposed. Such methods permit the numerical solutions of initial value problems for such systems, providing error bounds and avoiding the increase of the computational cost derived from the standard approach based on the consideration of an equivalent extended first order system.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1994-JCM-9299

Journal of Computational Mathematics, Vol. 12 (1994), Iss. 3 : pp. 273–290

Published online:    1994-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:   

Author Details

Lucas Jódar

José luis Morera

Gregorio Rubio