@Article{JCM-22-4, 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/2004-JCM-8859}, url = {https://global-sci.com/article/85237/numerical-approximation-of-transcritical-simple-bifurcation-point-of-the-navier-stokes-equations} }