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Volume 1, Issue 4
The Convergence of the Spectral Scheme for Solving Two-Dimensional Vorticity Equations

Ben-Yu Guo

J. Comp. Math., 1 (1983), pp. 353-362.

Published online: 1983-01

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  • Abstract

Much work has been done for the spectral scheme of the P.D.E. The author proposed a technique to prove the strict error estimation of the spectral scheme for the K.D.V.-Burgers equation. In this paper, the technique is generalized to two-dimensional vorticity equations. Under some conditions, the error estimation implies the convergence. The more smooth the solution of the vorticity equations, the more accurate the approximate solution.

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@Article{JCM-1-353, author = {Guo , Ben-Yu}, title = {The Convergence of the Spectral Scheme for Solving Two-Dimensional Vorticity Equations}, journal = {Journal of Computational Mathematics}, year = {1983}, volume = {1}, number = {4}, pages = {353--362}, abstract = {

Much work has been done for the spectral scheme of the P.D.E. The author proposed a technique to prove the strict error estimation of the spectral scheme for the K.D.V.-Burgers equation. In this paper, the technique is generalized to two-dimensional vorticity equations. Under some conditions, the error estimation implies the convergence. The more smooth the solution of the vorticity equations, the more accurate the approximate solution.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9713.html} }
TY - JOUR T1 - The Convergence of the Spectral Scheme for Solving Two-Dimensional Vorticity Equations AU - Guo , Ben-Yu JO - Journal of Computational Mathematics VL - 4 SP - 353 EP - 362 PY - 1983 DA - 1983/01 SN - 1 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9713.html KW - AB -

Much work has been done for the spectral scheme of the P.D.E. The author proposed a technique to prove the strict error estimation of the spectral scheme for the K.D.V.-Burgers equation. In this paper, the technique is generalized to two-dimensional vorticity equations. Under some conditions, the error estimation implies the convergence. The more smooth the solution of the vorticity equations, the more accurate the approximate solution.

Guo , Ben-Yu. (1983). The Convergence of the Spectral Scheme for Solving Two-Dimensional Vorticity Equations. Journal of Computational Mathematics. 1 (4). 353-362. doi:
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