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Author Berman, Mones ♦ Chu, Sherwood C.
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Language English
Subject Keyword Numerical solution ♦ Ordinary differential equations ♦ Initial value problems ♦ Stiff systems
Abstract An explicit, coupled, single-step method for the numerical solution of initial value problems for systems of ordinary differential equations is presented. The method was designed to be general purpose in nature but to be especially efficient when dealing with stiff systems of differential equations. It is, in general, second order except for the case of a linear system with constant coefficients and linear forcing terms; in that case, the method is third order. It has been implemented and put to routine usage in biological applications—where stiffness frequently appears—with favorable results. When compared to a standard fourth order Runge-Kutta implementation, computation time required by this method has ranged from comparable for certain nonstiff problems to better than two orders of magnitude faster for some highly stiff systems.
Description Affiliation: National Cancer Institute, Bethesda, MD (Chu, Sherwood C.; Berman, Mones)
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2005-08-01
Publisher Place New York
Journal Communications of the ACM (CACM)
Volume Number 17
Issue Number 12
Page Count 4
Starting Page 699
Ending Page 702


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Source: ACM Digital Library