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THE AAAtrig ALGORITHM FOR RATIONAL APPROXIMATION OF PERIODIC FUNCTIONS.
- Source :
-
SIAM Journal on Scientific Computing . 2021, Vol. 43 Issue 5, pA3372-A3392. 21p. - Publication Year :
- 2021
-
Abstract
- We present an extension of the AAA (adaptive Antoulas--Anderson) algorithm for periodic functions, called "AAAtrig."" The algorithm uses the key steps of AAA approximation by (i) representing the approximant in (trigonometric) barycentric form and (ii) selecting the support points greedily. Accordingly, AAAtrig inherits all the favorable characteristics of AAA and is thus extremely flexible and robust, being able to consider quite general sets of sample points in the complex plane. We consider a range of applications with particular emphasis on solving Laplace's equation in periodic domains and compressing periodic conformal maps. These results reproduce the tapered exponential clustering effect observed in other recent studies. The algorithm is implemented in Chebfun. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10648275
- Volume :
- 43
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Scientific Computing
- Publication Type :
- Academic Journal
- Accession number :
- 153519568
- Full Text :
- https://doi.org/10.1137/20M1359316