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Volume 22, Issue 4
Numerical Approximation of Transcritical Simple Bifurcation Point of the Navier-Stokes Equations

Heyuan Wang & Kaitai Li

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 reduce computational complexity, but also obtain quadratic convergence of algorithm.

  • Keywords

Nondegenerate simple bifurcation point, Splitting iterative method, The extended system.

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COPYRIGHT: © Global Science Press

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@Article{JCM-22-501, author = {Wang , Heyuan and Li , Kaitai}, 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 reduce 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 AU - Wang , Heyuan AU - Li , Kaitai 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, Splitting iterative method, 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 reduce computational complexity, but also obtain quadratic convergence of algorithm.

Wang , Heyuan and Li , Kaitai. (2004). 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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