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 - <p style="text-align: justify;">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.</p>