Generation and evaluation of orthogonal polynomials in discrete Sobolev spaces II: numerical stability

Author:

Barrio R.,Serrano S.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference23 articles.

1. Handbook of Mathematical Functions;Abramowitz,1965

2. On orthogonal polynomials of Sobolev type;Alfaro;SIAM J. Math. Anal.,1992

3. Algorithm 719;Bailey;ACM Trans. Math. Software,1993

4. A Fortran-90 based multiprecision system;Bailey;ACM Trans. Math. Software,1995

5. Rounding error bounds for the Clenshaw and Forsythe algorithms for the evaluation of orthogonal polynomial series;Barrio;J. Comput. Appl. Math.,2002

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A General Condition Number for Polynomials;SIAM Journal on Numerical Analysis;2013-01

2. High-precision computation: Mathematical physics and dynamics;Applied Mathematics and Computation;2012-06

3. Generation and evaluation of orthogonal polynomials in discrete Sobolev spaces I: algorithms;Journal of Computational and Applied Mathematics;2005-09

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