Type
ArticleAuthors
Hale, NicholasTownsend, Alex
KAUST Grant Number
KUK-C1-013-04Date
2014-01Permanent link to this record
http://hdl.handle.net/10754/597506
Metadata
Show full item recordAbstract
An O(N2) algorithm for the convolution of compactly supported Legendre series is described. The algorithm is derived from the convolution theorem for Legendre polynomials and the recurrence relation satisfied by spherical Bessel functions. Combining with previous work yields an O(N 2) algorithm for the convolution of Chebyshev series. Numerical results are presented to demonstrate the improved efficiency over the existing algorithm. © 2014 Society for Industrial and Applied Mathematics.Citation
Hale N, Townsend A (2014) An Algorithm for the Convolution of Legendre Series. SIAM Journal on Scientific Computing 36: A1207–A1220. Available: http://dx.doi.org/10.1137/140955835.Sponsors
Department of Applied Mathematics, University of Stellenbosch, Stellenbosch, 7600, South Africa (nickhale@sun.ac.za, http://nickhale.info). This author's work was supported by The MathWorks, Inc., and King Abdullah University of Science and Technology (KAUST), award KUK-C1-013-04.Mathematical Institute, University of Oxford, Oxford, OX2 6GG, UK (townsend@maths.ox.ac.uk, http://people.maths.ox.ac.uk/townsend/). This author's work was supported by EPSRC grant EP/P505666/1 and by the European Research Council under the European Union's Seventh Framework Programme (FP7/2007-2013)/ERC grant 291068.ISSN
1064-82751095-7197
ae974a485f413a2113503eed53cd6c53
10.1137/140955835