ORTHPOLYFIT, ORTHPOLYVAL
by Ingo Löhken
01 Oct 2005
(Updated 28 Oct 2005)
Direct transform of multivariate series to a polynomial domain by the Gaussian quadrature methods.
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| File Information |
| Description |
This toolbox supports the direct transform of a multivariate series by the fourier series expansion for a given set of polynomials using Gaussian quadrature methods. Any classical set of polynomials is implemented and could be easily used, i.e. shifted and unshifted Chebyshev, generalized Laguerre, shifted and unshifted Legendre, unmodified and modified Hermite, Gegenbauer, shifted and unshifted Jacobi. The Inverse transform is supported as well.For more information please read the related Contents.m file. |
| Acknowledgements |
The author wishes to acknowledge the following in the creation of this submission:
Fast Chebyshev Transform (1D), Chebyshev-Pade Approximation, Fast Chebyshev Differentiation
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| MATLAB release |
MATLAB 6.5.1 (R13SP1)
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| Other requirements |
The maximum length of a transformable series relates directly to the choosen set of polynomials. |
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| Updates |
| 10 Oct 2005 |
Fixed a bug in the ORTHPOLVAL mfile due to false naming conventions.
Toolbox is now available as zip-file. |
| 27 Oct 2005 |
The ORTHPOLYS toolbox relates on three different toolboxes and is therefore split up.
Until the other toolboxes DSTV, DIMEXP are not available in the File-Exchange, the downloadable zip-file contains the bundled version of all three. |
| 28 Oct 2005 |
somehow the download file wasn't updated, therefore upload the bundled version again. |
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