Postprocessing Fourier spectral methods: The case of smooth solutions

abstract

• A postprocessing technique to improve the accuracy of Galerkin methods, when applied to dissipative partial differential equations, is examined in the particular case of very smooth solutions. Pseudospectral methods are shown to perform poorly. This performance is studied and a refined postprocessing technique is proposed. 2002 IMACS. Published by Elsevier Science B.V. All rights reserved.

authors

• Titi, Edriss

published proceedings

• APPLIED NUMERICAL MATHEMATICS

author list (cited authors)

• Garcia-Archilla, B., Novo, J., & Titi, E. S.

citation count

• 2

complete list of authors

• Garcia-Archilla, B||Novo, J||Titi, ES

publication date

• November 2002

publisher

• Elsevier  Publisher

published in

• Applied Numerical Mathematics  Journal

keywords

• Aliasing Errors
• Dissipative Equations
• Multilevel Methods
• Spectral Methods

Digital Object Identifier (DOI)

• 10.1016/S0168-9274(01)00134-9

start page

• 191

end page

• 209

volume

• 43

issue

• 3

URL

• http://dx.doi.org/10.1016/s0168-9274(01)00134-9