Sobolev orthogonal polynomials defined via gradient on the unit ball-Reference-Cited by-同舟云学术

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Sobolev orthogonal polynomials defined via gradient on the unit ball

Published:2008-05 Issue:1 Volume:152 Page:52-65
ISSN:0021-9045
Container-title:Journal of Approximation Theory
language:en
Short-container-title:Journal of Approximation Theory

Author:

Xu Yuan

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference13 articles.

1. Solving the Nonlinear Poisson Equation on the unit disk;Atkinson;J. Integral Equations Appl.,2005

2. Orthogonal Polynomials of Several Variables;Dunkl,2001

3. G. Forbes, Personal communication.

4. Optimizing Schrödinger functionals using Sobolev gradients: applications to quantum mechanics and nonlinear optics;García-Ripoll;SIAM J. Sci. Comput.,2001

5. Orthogonal Polynomials: Computation and Approximation;Gautschi,2004

Cited by 21 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 study on Sobolev orthogonal polynomials on a triangle;Numerical Algorithms;2023-12-26

2. Simultaneous Approximation via Laplacians on the Unit Ball;Mediterranean Journal of Mathematics;2023-10-13

3. Approximation via gradients on the ball. The Zernike case;Journal of Computational and Applied Mathematics;2023-10

4. Sobolev orthogonality of polynomial solutions of second-order partial differential equations;Computational and Applied Mathematics;2022-12-16

5. On Sobolev orthogonal polynomials on a triangle;Proceedings of the American Mathematical Society;2022-07-22

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