Classroom Tips and Techniques: Best Taylor-Polynomial Approximations - Maple Application Center
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Classroom Tips and Techniques: Best Taylor-Polynomial Approximations

Author
: Maplesoft AuthorDr. Robert Lopez
Engineering software solutions from Maplesoft
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In the early 90s, Joe Ecker (Rensselaer Polytechnic Institute) provided a Maple solution to the problem of determining for a given function, which expansion point in a specified interval yielded the best quadratic Taylor polynomial approximation, where "best" was measured by the L2-norm. This article applies Ecker's approach to the function f(x) = sinh(x)x e-3x, -1 ≤ x ≤ 3, then goes on to find other approximating quadratic polynomials.

Application Details

Publish Date: August 14, 2012
Created In: Maple 16
Language: English

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