The Fourier pseudospectral method for three-dimensional vorticity equations
type: Item
instance of: scholarly article
title: The Fourier pseudospectral method for three-dimensional vorticity equations
zbMATH Open document ID: 0691.35081
DOI: 10.1007/BF02018714
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 1988-01-01T00:00:00Z
review text: The authors propose a pseudospectral method by using generalized Riesz spherical means to solve the space-periodical problem for the three- dimensional vorticity equations (generalized Helmholtz's equation). Error estimates are given for \(\nu >0\), \(\nu =0\), and for the three level scheme in appropriate spaces. Generalized stability schemes is proved.
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 76D99
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 65M99
Mathematics Subject Classification ID: 65N99
zbMATH DE Number: 4130905
zbMATH Keywords: Fourier pseudospectral approximation
zbMATH Keywords: Riesz spherical means
zbMATH Keywords: vorticity equations
author: Ben-Yu Guo
author: Heping Ma
reviewed by: Mariano Rodríguez Ricard
MaRDI profile type: Publication
cites work: Convergence of Fourier methods for Navier-Stokes equations
cites work: Spectral and Pseudo-Spectral Approximations of the Navier–Stokes Equations
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cites work: The Fourier pseudospectral method with a restrain operator for the Korteweg-de Vries equation
cites work: The Fourier Pseudospectral Method for Two-Dimensional Vorticity Equations
full work available at URL: https://doi.org/10.1007/bf02018714
OpenAlex ID: W142605569
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description: scientific article; zbMATH DE number 4130905