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

doi:10.1002/nme.1620320303

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 journal › Article › Academic › peer-review

6 Citations (Scopus)

192 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 language	English
Pages (from-to)	471-499
Journal	International Journal for Numerical Methods in Engineering
Volume	32
Issue number	3
DOIs	https://doi.org/10.1002/nme.1620320303
Publication status	Published - 1991

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

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.",

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PY - 1991

Y1 - 1991

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AB - 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.

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DO - 10.1002/nme.1620320303

M3 - Article

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EP - 499

JO - International Journal for Numerical Methods in Engineering

JF - International Journal for Numerical Methods in Engineering

IS - 3

ER -

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

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