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A methodology for the generation of low-cost higher-order methods for linear dynamics

✍ Scribed by M. Mancuso; F. Ubertini

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
738 KB
Volume
56
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

This work presents a methodology which generates efficient higher‐order methods for linear dynamics by improving the accuracy properties of Nørsett methods towards those of Padé methods. The methodology is based on a simple and low‐cost iterative procedure which is used to implement a set of higher‐order methods with controllable dissipation. A sequence of improved solutions is obtained which correspond to algorithms offering an effective compromise between the efficiency of Nørsett methods and the accuracy of Padé methods. Moreover, a direct control over high‐frequency dissipation is possible by means of an algorithmic parameter. Numerical tests are reported which confirm that this set of algorithms is really attractive for linear dynamic analysis. Copyright © 2003 John Wiley & Sons, Ltd.

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