Implementing Adams methods with preassigned stepsize ratios
type: Item
instance of: scholarly article
title: Implementing Adams methods with preassigned stepsize ratios
zbMATH Open document ID: 1191.65095
DOI: 10.1155/2010/765620
author: David J. López
author: José G. Romay
published in: Mathematical Problems in Engineering
publication date: 2010-04-23T00:00:00Z
full work available at URL: https://eudml.org/doc/230554
review text: Summary: Runge-Kutta and Adams methods are the most popular codes to solve numerically nonstiff ODEs. The Adams methods are useful to reduce the number of function calls, but they usually require more CPU time than the Runge-Kutta methods. In this work we develop a numerical study of a variable step length Adams implementation, which can only take preassigned step-size ratios. Our aim is the reduction of the CPU time of the code by means of the precalculation of some coefficients. We present several numerical tests that show the behaviour of the proposed implementation.
Mathematics Subject Classification ID: 65L06
zbMATH DE Number: 5700517
Wikidata QID: Q58653331
describes a project that uses: MATLAB ODE suite
describes a project that uses: VODE
describes a project that uses: Matlab
describes a project that uses: ode113
describes a project that uses: ode23s
describes a project that uses: Ode15s
describes a project that uses: Mathematica
describes a project that uses: ode23
describes a project that uses: ode45
describes a project that uses: ODEPACK
MaRDI profile type: Publication
OpenAlex ID: W2031344228
cites work: Q4002473
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description: scientific article; zbMATH DE number 5700517