ISSN:
0029-5981
Keywords:
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
We discuss properties of methods proposed recently by Gellert1 and by Brusa and Nigro2 for solving systems of second-order ordinary differential equations. In both cases, we extend the derivations to obtain whole families of methods with improved stability properties (roughly equivalent to L-stability for first-order systems) and we show that obtaining improvement in stability properties results in a deterioration in accuracy and/or implementation properties. Also we bring out the relationship (and in some cases equivalence) of these methods to others proposed in the literature. In particular, we show that the methods proposed by the above authors are essentially equivalent to well-known methods of long standing, namely Padé approximant methods for equivalent first-order systems of ordinary differential equations.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/nme.1620200710
