Article

Error control with polynomial approximation, IMA

Authors:
To read the full-text of this research, you can request a copy directly from the authors.

No full-text available

Request Full-text Paper PDF

To read the full-text of this research,
you can request a copy directly from the authors.

... where we can expand g(x) in terms of Chebyshev polynomials, and use the fact that g will be even. Schonfelder and Razaz [8] showed, however, that such expansions can give rise to serious error amplification if the function g varies greatly in size, as we have with Lo. They recommend extracting an explicit exponential term which will absorb most of the function variation, leaving a more stable function to be expanded. ...
Article
We consider the approximation of the modified Struve functions {{L}_0} and {{L}_1} , and the related functions {I_0} - {{L}_0} and {I_1} - {{L}_1} , where {I_0},{I_1} are modified Bessel functions. Chebyshev expansions are derived to an accuracy of 20D for these functions. By using generalized bilinear and biquadratic maps we optimize the number of coefficients for 20D accuracy.
ResearchGate has not been able to resolve any references for this publication.