Talk:Polynomial and rational function modeling

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Modeling methodologies

I've done a bit of work in this area and I am not sure if this would be the correct article or not to discuss methods of generating these models. One may build up function models from: local information (Taylor series and pade approximations), interval information (generalized fourier series and Chebyshev rational functions), and asymptotic behavior estimation.

I am not sure if anyone has any interest in such a discussion of modeling functions locally, over an interval, or asymptotically. I think it would be good for this section to discuss several approaches and their trade-offs.

I have found that building a Taylor-like series from orthogonal Chebyshev polynomials and converting to a pade-like approximation to be a very general powerful approach (see: Richard L. Burden and J. Douglas Faires, "Rational Function Approximation," in Numerical Analysis 9th edition, Brooks/Cole, ISBN-13:9780538733519, 2011. [Mouse7mouse9 03:19, 2 July 2014 (UTC)]