A new stepsize change technique for Adams methods-Reference-Cited by-同舟云学术

A new stepsize change technique for Adams methods

Published:2016-07-01 Issue:2 Volume:1 Page:547-558
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Calvo M.¹,Montijano J.I.¹,Rández L.¹

Affiliation:

1. IUMA-Dpto. Matemática Aplicada , Pedro Cerbuna 12, Edificio Matemáticas, 50009 Zaragoza , Spain

Abstract

Abstract In this paper a new technique for stepsize changing in the numerical solution of Initial Value Problems for ODEs by means of Adams type methods is considered. The computational cost of the new technique is equivalent to those of the well known interpolation technique (IT). It is seen that the new technique has better stability properties than the IT and moreover, its leading error term is smaller. These facts imply that the new technique can outperform the IT.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.21042/AMNS.2016.2.00043

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