Derivation of numerical methods using computer algebra
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Authors
Author (Corporation)
Publication date
01.1999
Typ of student thesis
Course of study
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Type
01A - Journal article
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Parent work
SIAM Review
Special issue
DOI of the original publication
Link
Series
Series number
Volume
41
Issue / Number
3
Pages / Duration
577-593
Patent number
Publisher / Publishing institution
Society for Industrial and Applied Mathematics
Place of publication / Event location
Philadelphia
Edition
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Programming language
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Abstract
The use of computer algebra systems in a course on scientific computation is demonstrated. Various examples, such as the derivation of Newton's iteration formula, the secant method, Newton-Cotes and Gaussian integration formulas, as well as Runge-Kutta formulas, are presented. For the derivations, the computer algebra system Maple is used.
Keywords
Numerical methods, Computer algebra, Maple, Quadrature formulas, Nonlinear equations, Finite elements, Rayleigh–Ritz, Galerkin method, Runge–Kutta method
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ISBN
ISSN
0036-1445
1095-7200
1095-7200
Language
English
Created during FHNW affiliation
No
Strategic action fields FHNW
Publication status
Published
Review
Peer review of the complete publication
Open access category
Closed
License
Citation
Gander, W., & Gruntz, D. (1999). Derivation of numerical methods using computer algebra. SIAM Review, 41(3), 577–593. https://doi.org/10.1137/s003614459935093x