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Volume 12, Issue 3
Multistep Methods for a Class of Higher Order Differential Problems: Convergence and Error Bounds

Lucas Jódar, José luis Morera & Gregorio Rubio

J. Comp. Math., 12 (1994), pp. 273-290.

Published online: 1994-12

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  • 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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@Article{JCM-12-273, author = {Jódar , LucasMorera , José luis and Rubio , Gregorio}, title = {Multistep Methods for a Class of Higher Order Differential Problems: Convergence and Error Bounds}, journal = {Journal of Computational Mathematics}, year = {1994}, volume = {12}, number = {3}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9299.html} }
TY - JOUR T1 - Multistep Methods for a Class of Higher Order Differential Problems: Convergence and Error Bounds AU - Jódar , Lucas AU - Morera , José luis AU - Rubio , Gregorio JO - Journal of Computational Mathematics VL - 3 SP - 273 EP - 290 PY - 1994 DA - 1994/12 SN - 12 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9299.html KW - AB -

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.

Jódar , LucasMorera , José luis and Rubio , Gregorio. (1994). Multistep Methods for a Class of Higher Order Differential Problems: Convergence and Error Bounds. Journal of Computational Mathematics. 12 (3). 273-290. doi:
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