Optimal use of a numerical method for solving differtial equations based on Taylor-series expansions

P.J.M. Sonnemans, L.P.H. Goey, de, J.K. Nieuwenhuizen

Research output: Contribution to journalArticleAcademicpeer-review

5 Citations (Scopus)
57 Downloads (Pure)

Abstract

Efficiency in solving differential equations is improved by increasing the order of a Taylor series approximation. Computing time can be reduced up to a factor of 40 and an amount of memory storage can be saved, up to a factor of 70. The truncation error can be estimated not only by order but also by magnitude.
Original languageEnglish
Pages (from-to)471-499
JournalInternational Journal for Numerical Methods in Engineering
Volume32
Issue number3
DOIs
Publication statusPublished - 1991

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