A fully diagonalized spectral method using generalized Laguerre functions on the half line
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Publication:1693579
DOI10.1007/s10444-017-9522-3zbMath1387.76077arXiv1609.06098OpenAlexW2523604961MaRDI QIDQ1693579
Fu-Jun Liu, Hui-yuan Li, Zhong-qing Wang
Publication date: 31 January 2018
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.06098
Boundary value problems for second-order elliptic equations (35J25) Spectral methods applied to problems in fluid mechanics (76M22) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Error bounds for numerical methods for ordinary differential equations (65L70)
Related Items (15)
Hermite–Sobolev orthogonal functions and spectral methods for second- and fourth-order problems on unbounded domains ⋮ Spectral method for multi-dimensional problems of high order on unbounded domains using generalized Laguerre functions ⋮ Nontensorial generalised hermite spectral methods for PDEs with fractional Laplacian and Schrödinger operators ⋮ Efficient Hermite Spectral-Galerkin Methods for Nonlocal Diffusion Equations in Unbounded Domains ⋮ Novel spectral methods for Schrödinger equations with an inverse square potential on the whole space ⋮ Sobolev orthogonal Legendre rational spectral methods for exterior problems ⋮ Asymptotics of Sobolev orthogonal polynomials for Hermite (1,1)-coherent pairs ⋮ Spectral methods using generalized Laguerre functions for second and fourth order problems ⋮ Diagonalized Legendre spectral methods using Sobolev orthogonal polynomials for elliptic boundary value problems ⋮ Efficient Legendre-Laguerre spectral element methods for problems on unbounded domains with diagonalization technique ⋮ On approximate inverse of Hermite and Laguerre collocation differentiation matrices and new collocation schemes in unbounded domains ⋮ Orthogonal Jacobi rational functions and spectral methods on the half line ⋮ Jacobi-Sobolev orthogonal polynomials and spectral methods for elliptic boundary value problems ⋮ A fast solver of Legendre-Laguerre spectral element method for the Camassa-Holm equation ⋮ Efficient Legendre dual-Petrov-Galerkin methods for odd-order differential equations
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