@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} }