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Author Berns, Robert I. ♦ Ball, William E.
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Language English
Abstract A procedure for numerically solving systems of ordinary differential equations is shown to also generate symbolic solutions. The procedure is based on a finite Taylor series expansion that includes an estimate of the error in the final result. A computer program is described that reads in a system of such equations and then generates the expansions for all of the dependent variables. The expansions are determined symbolically, hence any non-numeric parameters in the original equations are carried automatically into the final expansions. Thus the exact influence of any parameters on the problem solution can be easily displayed.
Description Affiliation: Washington Univ., Saint Louis, MI (Ball, William E.; Berns, Robert I.)
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 9
Issue Number 8
Page Count 8
Starting Page 626
Ending Page 633

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Source: ACM Digital Library