Numerical Approximation of Transcritical Simple Bifurcation Point of the Navier-Stokes Equations

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Volume 22, Issue 4

He-yuan Wang & Kai-tai Li

DOI:

J. Comp. Math., 22 (2004), pp. 501-508

Published online: 2004-08

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Abstract

The extended system of nondegenerate simple bifurcation point of the Navier-Stokes equations is constructed in this paper, due to its derivative has a block lower triangular form, we design a Newton-like method, using the extended system and splitting iterative technique to compute transcritical nondegenerate simple bifurcation point, we not only reduces computational complexity, but also obtain quadratic convergence of algorithm.

Keywords

Nondegenerate simple bifurcation point Splitting iterative method The extended system

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@Article{JCM-22-501, author = {}, title = {Numerical Approximation of Transcritical Simple Bifurcation Point of the Navier-Stokes Equations}, journal = {Journal of Computational Mathematics}, year = {2004}, volume = {22}, number = {4}, pages = {501--508}, abstract = { The extended system of nondegenerate simple bifurcation point of the Navier-Stokes equations is constructed in this paper, due to its derivative has a block lower triangular form, we design a Newton-like method, using the extended system and splitting iterative technique to compute transcritical nondegenerate simple bifurcation point, we not only reduces computational complexity, but also obtain quadratic convergence of algorithm. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8859.html} }

TY - JOUR T1 - Numerical Approximation of Transcritical Simple Bifurcation Point of the Navier-Stokes Equations JO - Journal of Computational Mathematics VL - 4 SP - 501 EP - 508 PY - 2004 DA - 2004/08 SN - 22 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8859.html KW - Nondegenerate simple bifurcation point KW - Splitting iterative method KW - The extended system AB - The extended system of nondegenerate simple bifurcation point of the Navier-Stokes equations is constructed in this paper, due to its derivative has a block lower triangular form, we design a Newton-like method, using the extended system and splitting iterative technique to compute transcritical nondegenerate simple bifurcation point, we not only reduces computational complexity, but also obtain quadratic convergence of algorithm.

He-yuan Wang & Kai-tai Li . (1970). Numerical Approximation of Transcritical Simple Bifurcation Point of the Navier-Stokes Equations. Journal of Computational Mathematics. 22 (4). 501-508. doi:

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