Spectral method for multi-dimensional problems of high order on unbounded domains using generalized Laguerre functions

DOI10.1080/00207160.2021.1872784zbMath1501.65083OpenAlexW3119683384MaRDI QIDQ5033386

No author found.

Publication date: 22 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2021.1872784

zbMATH Keywords

generalized Laguerre approximationsmultiple-dimensional generalized Laguerre functionsspectral method for high-order problems

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Cites Work

• Unnamed Item
• Unnamed Item
• Generalized Jacobi approximation in multiple dimensions and its applications
• Domain decomposition spectral method for mixed inhomogeneous boundary value problems of high order differential equations on unbounded domains
• Laguerre spectral approximation of elliptic problems in exterior domains
• Generalized Jacobi polynomials/functions and their applications
• The optimization of convergence for Chebyshev polynomial methods in an unbounded domain
• Techniques of scientific computing (Part 2)
• A fully diagonalized spectral method using generalized Laguerre functions on the half line
• Spectral methods using generalized Laguerre functions for second and fourth order problems
• Fast and precise spectral method for solving pantograph type Volterra integro-differential equations
• On solving systems of multi-pantograph equations via spectral tau method
• Optimal spectral-Galerkin methods using generalized Jacobi polynomials
• Spectral Methods
• Approximation of Some Diffusion Evolution Equations in Unbounded Domains by Hermite Functions
• Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
• Stable and Efficient Spectral Methods in Unbounded Domains Using Laguerre Functions
• Jacobi and Laguerre quasi-orthogonal approximations and related interpolations
• Modified Galerkin algorithm for solving multitype fractional differential equations
• Spectral Methods
• Hermite Spectral Methods with a Time-Dependent Scaling for Parabolic Equations in Unbounded Domains