Single and multi-interval Legendre \(\tau\)-methods in time for parabolic equations
type: Item
instance of: scholarly article
title: Single and multi-interval Legendre \(\tau\)-methods in time for parabolic equations
zbMATH Open document ID: 1002.65111
DOI: 10.1023/A:1016273820035
author: Jianguo Tang
author: Heping Ma
published in: Advances in Computational Mathematics
publication date: 2002-08-19T00:00:00Z
review text: Single and multi-interval spectral Legendre Petrov-Galerkin methods in time for the approximation of parabolic problems are considered. For the single interval spectral method in time, optimal error estimates in the \(L^2\) norm are obtained. For the multi-interval spectral method in time, the \(L^2\)-optimal error estimate is valid in spatial. Numerical results show the efficiency of the method.
reviewed by: Wilhelm Heinrichs
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 65M15
zbMATH DE Number: 1783437
zbMATH Keywords: interval decomposition
zbMATH Keywords: parabolic equation
zbMATH Keywords: spectral methods
zbMATH Keywords: optimal error estimate
zbMATH Keywords: tau method
zbMATH Keywords: spectral Legendre Petrov-Galerkin methods
zbMATH Keywords: numerical results
MaRDI profile type: Publication
full work available at URL: a:1016273820035
OpenAlex ID: W1536711808
Recommended article: Single and multi‐interval Legendre spectral methods in time for parabolic equations
Recommended article: A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations
Recommended article: Q3082236
Recommended article: Spectral Methods in Time for Parabolic Problems
Recommended article: Time-Parallel Iterative Solvers for Parabolic Evolution Equations
Recommended article: Q4240914
Recommended article: A Space-Time Multiscale Method for Parabolic Problems
Recommended article: Computational methods for time-periodic solutions of singular semilinear parabolic problems
Recommended article: An efficient numerical approach for singularly perturbed parabolic convection-diffusion problems with large time-lag
Recommended article: A Time-Simultaneous Multigrid Method for Parabolic Evolution Equations
description: scientific article; zbMATH DE number 1783437