Accession Number:

ADA445569

Title:

High Order Integration of Smooth Dynamical Systems: Theory and Numerical Experiments

Descriptive Note:

Technical research rept.

Corporate Author:

MARYLAND UNIV COLLEGE PARK INST FOR SYSTEMS RESEARCH

Personal Author(s):

Report Date:

1991-01-01

Pagination or Media Count:

41.0

Abstract:

This paper describes a new class of algorithms for integrating linear second order equations and those containing smooth nonlinearities. The algorithms are based on a combination of ideas from standard Newmark integration methods and extrapolation techniques. For the algorithm to work the underlying Newmark method must be stable second order accurate, and produce asymptotic error expansions for response quantities containing only even ordered terms. It is proved that setting the Newmark parameter Gamma to 12 gives a desirable asymptotic expansion, irrespective of the setting for Beta. Numerical experiments are conducted for two linear and two nonlinear applications.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE