OPTIMAL START OF A TAYLOR INTEGRATOR BY CONTROL OF LOCAL ERROR

Authors
CORDOBATORRES P ENRIQUEZ F FAIREN V
Citation
P. Cordobatorres et al., OPTIMAL START OF A TAYLOR INTEGRATOR BY CONTROL OF LOCAL ERROR, Computers in physics, 12(2), 1998, pp. 200-207
Citations number
12
Categorie Soggetti
Computer Science Interdisciplinary Applications","Physycs, Mathematical",Physics,"Physycs, Mathematical","Computer Science Interdisciplinary Applications
Journal title
Computers in physics → ACNP
ISSN journal
08941866
Volume
12
Issue
2
Year of publication
1998
Pages
200 - 207
Database
ISI
SICI code
0894-1866(1998)12:2<200:OSOATI>2.0.ZU;2-3
Abstract
The aim of this work is to supply the necessary tools for an optimal c hoice of initial values of the Taylor-integrator parameters, step size , and order. The optimization in the first step is fundamental to the future evolution of both the global error and the complexity of the al gorithm. The local error in the Taylor approximation is controlled by two methods for obtaining an accurate analytic expression for the loca l error as a function of step size and order. (C) 1998 American Instit ute of Physics.