Müntz ball polynomials and Müntz spectral-Galerkin methods for singular eigenvalue problems

DOI10.1007/S10915-023-02254-XarXiv2303.05020OpenAlexW4383347363MaRDI QIDQ6164986

Hui-yuan Li, Chang-Tao Sheng, Xiu Yang, Li-Lian Wang

Publication date: 28 July 2023

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.05020

zbMATH Keywords

singular eigenvalue problemsMüntz ball polynomialsMüntz spectral-Galerkin methods

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Eigenvalue problems for linear operators (47A75) PDEs in connection with quantum mechanics (35Q40) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Applications of hypergeometric functions (33C90) Spherical harmonics (33C55)

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