Imperial College London
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DrSheehanOlver

Faculty of Natural Sciences, Department of Mathematics

Reader in Applied Mathematics and Mathematical Physics
 
 
 
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Location

 

Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Fasondini:2023:10.1111/sapm.12582,
author = {Fasondini, M and Olver, S and Xu, Y},
doi = {10.1111/sapm.12582},
journal = {Studies in Applied Mathematics},
pages = {369--405},
title = {Orthogonal polynomials on a class of planar algebraic curves},
url = {http://dx.doi.org/10.1111/sapm.12582},
volume = {151},
year = {2023}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We construct bivariate orthogonal polynomials (OPs) on algebraiccurves of the form ym = φ(x) in R2 where m = 1, 2 and φ is a polynomial of arbitrary degree d, in terms of univariate semiclassical OPs. We compute connectioncoefficients that relate the bivariate OPs to a polynomial basis that is itself orthogonal and whose span contains the OPs as a subspace. The connection matrixis shown to be banded and the connection coefficients and Jacobi matrices for OPsof degree 0, . . . , N are computed via the Lanczos algorithm in O(Nd4) operations.
AU  - Fasondini,M
AU  - Olver,S
AU  - Xu,Y
DO  - 10.1111/sapm.12582
EP  - 405
PY  - 2023///
SN  - 0022-2526
SP  - 369
TI  - Orthogonal polynomials on a class of planar algebraic curves
T2  - Studies in Applied Mathematics
UR  - http://dx.doi.org/10.1111/sapm.12582
UR  - https://onlinelibrary.wiley.com/doi/full/10.1111/sapm.12582
UR  - http://hdl.handle.net/10044/1/104126
VL  - 151
ER  -
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