Efficient space-time Legendre rational spectral method for parabolic problems in unbounded domains

DOI10.1016/j.apnum.2021.07.017zbMath1501.65082OpenAlexW3183881816MaRDI QIDQ822158

Long Li, Xu-hong Yu, Zhong-qing Wang

Publication date: 21 September 2021

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2021.07.017

zbMATH Keywords

numerical resultssimultaneously orthogonal Legendre rational basis functionsspace-time spectral methods

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Approximation by rational functions (41A20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (2)

Efficient space-time Jacobi rational spectral methods for second order time-dependent problems on unbounded domains ⋮ Diagonalized Legendre spectral method for second-order eigenvalue problems

Cites Work

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• Legendre spectral collocation in space and time for PDEs
• Fourierization of the Legendre-Galerkin method and a new space-time spectral method
• Legendre-Gauss collocation methods for ordinary differential equations
• Spectral methods in time for a class of parabolic partial differential equations
• Techniques of scientific computing (Part 2)
• Efficient space-time spectral methods for second-order problems on unbounded domains
• Space-time spectral element method for one-dimensional nonlinear advection-diffusion problems
• On spectral approximations using modified Legendre rational functions: Application to the Korteweg-de Vries equation on the half line
• Spectral Methods
• Spectral Methods and Their Applications
• The Hermite Spectral Method for Gaussian-Type Functions
• Spectral Methods in Time for Hyperbolic Equations
• Space‐time spectral collocation method for the one‐dimensional sine‐<scp>G</scp>ordon equation
• A Laguerre–Legendre Spectral Method for the Stokes Problem in a Semi-Infinite Channel
• Spectral Methods
• Spectral/hp Element Methods for Computational Fluid Dynamics

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