| Autor: |
Mathews, John H. |
| Předmět: |
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| Zdroj: |
International Journal of Mathematical Education in Science & Technology; Mar/Apr2003, Vol. 34 Issue 2, p280-287, 8p |
| Abstrakt: |
Traditional 'pencil and paper' derivations of the numerical differentiation formulae for f ′[x0] and f″[x0] have been done independently as if there was no connection among the two derivations. This new approach gives a parallel development of the formulae. It requires the solution of a 'linear system' that includes symbolic quantities as coefficients and constants. It is shown how the power of a computer algebra system such as Mathematica can be used to elegantly solve this linear system for f′[x0] and f″[x0]. The extension to derivations of higher order numerical differentiation formulas for the central, forward or backward differences are also presented. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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