Chebyshev spectral collocation in space and time for the heat equation

DOI10.1553/etna_vol52s295zbMath1446.65130OpenAlexW3035895011MaRDI QIDQ2208923

Yanyan Li

Publication date: 28 October 2020

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://etna.mcs.kent.edu/volumes/2011-2020/vol52/abstract.php?vol=52&pages=295-319

zbMATH Keywords

Chebyshev collocationspace-timespectral collocationtime-dependent partial differential equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Initial-boundary value problems for second-order parabolic equations (35K20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Approximation by polynomials (41A10)

Related Items (3)

Spectral collocation in space and time for linear PDEs ⋮ Generalized Lucas tau method for the numerical treatment of the one and two-dimensional partial differential heat equation ⋮ Space-time spectral method for the Stokes problem

Uses Software

• Algorithm 432

Cites Work

• Unnamed Item
• Legendre spectral collocation in space and time for PDEs
• The automatic solution of partial differential equations using a global spectral method
• A Legendre spectral method in time for first-order hyperbolic equations
• A spectral method for the time evolution in parabolic problems
• Fourierization of the Legendre-Galerkin method and a new space-time spectral method
• Legendre-Gauss collocation methods for ordinary differential equations
• Global properties of pseudospectral methods
• Spectral methods in time for a class of parabolic partial differential equations
• Single and multi-interval Legendre \(\tau\)-methods in time for parabolic equations
• Legendre spectral collocation method for second-order nonlinear ordinary/partial differential equations
• 50 Years of Time Parallel Time Integration
• Legendre–Gauss-type spectral collocation algorithms for nonlinear ordinary/partial differential equations
• The Eigenvalues of Second-Order Spectral Differentiation Matrices
• Spectral Methods in Time for Parabolic Problems
• Spectral Methods in Time for Hyperbolic Equations
• Space‐time spectral collocation method for the one‐dimensional sine‐<scp>G</scp>ordon equation
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
• Numerical Analysis of Partial Differential Equations
• Spectral Methods
• The Accuracy of the Chebyshev Differencing Method for Analytic Functions

This page was built for publication: Chebyshev spectral collocation in space and time for the heat equation