Single and multi-interval Legendre \(\tau\)-methods in time for parabolic equations
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.
spectral Legendre Petrov-Galerkin methods
scientific article; zbMATH DE number 1783437