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

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

Year:    2004

Author:    Heyuan Wang, Kaitai Li

Journal of Computational Mathematics, Vol. 22 (2004), Iss. 4 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2004-JCM-8859

Journal of Computational Mathematics, Vol. 22 (2004), Iss. 4 : pp. 501–508

Published online:    2004-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Nondegenerate simple bifurcation point Splitting iterative method The extended system.

Author Details

Heyuan Wang

Kaitai Li