Spectral approximations on the triangle
- 8 March 1998
- journal article
- Published by The Royal Society in Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- Vol. 454 (1971) , 857-872
- https://doi.org/10.1098/rspa.1998.0189
Abstract
In this paper we describe a new family of polynomials which are eigenfunctions of a singular Sturm–Liouville problem on the triangle The polynomials are shown to be orthogonal over T2 with respect to a unit weight function, and may be used in approximations which are exponentially convergent for functions which are infinitely smooth in T2. The zeros of the polynomials may be used in cubature formulae on T2.
Keywords
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