Improving the efficiency of the multiple shooting technique
type: Item
instance of: scholarly article
title: Improving the efficiency of the multiple shooting technique
zbMATH Open document ID: 0766.65063
DOI: 10.1016/0898-1221(92)90161-A
publication date: 1993-04-01T00:00:00Z
review text: The numerical solution of a boundary value problem by the multiple shooting technique is considered. In this situation Runge-Kutta methods are applied for the integration of the associated initial value problems for the variational equation together with the original ordinary differential equation. A special Runge-Kutta method, with low computational cost per step, is designed with the purpose of saving Jacobian evaluations in the integration process of the the variational equation. The adopted Runge-Kutta method is different from the one for the original ordinary differential equation. Finally, some numerical experiments are presented showing a substantial reduction in the number of Jacobian evaluations in comparison with the code in IMSL.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 148297
zbMATH Keywords: multiple shooting
zbMATH Keywords: Jacobian matrix evaluation
zbMATH Keywords: Runge-Kutta pair
zbMATH Keywords: reduction of Jacobian matrix evaluation
author: Luis Rández
reviewed by: Taketomo Mitsui
MaRDI profile type: Publication
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 148297