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Author Gruttke, William B.
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Copyright Year ©1970
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Abstract A family of fifth-order pseudo-Runge-Kutta methods for the numerical solution of systems of ordinary differential equations is presented. A procedure for determining an “optimal” set of parameters is given, and several examples are considered. The principal advantage of these methods is that, for a fixed stepsize, they require two less function evaluations at each step than do the corresponding fifth-order Runge-Kutta methods. Their principal disadvantage is that they are not self-starting; they require two initial values. Numerically, pseudo-Runge-Kutta and Runge-Kutta methods seem to be comparable.
ISSN 00045411
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 1970-10-01
Publisher Place New York
e-ISSN 1557735X
Journal Journal of the ACM (JACM)
Volume Number 17
Issue Number 4
Page Count 16
Starting Page 613
Ending Page 628


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Source: ACM Digital Library