计算二维零空间的非线性分歧问题的新途径
A NEW APPROACH TO SOLVING NONLINEAR BIFURCATION PROBLEMS WITH TWO-DIMENSIONAL NULL SPACE作者机构:200234 上海师范大学数学科学学院!上海
出 版 物:《高等学校计算数学学报》 (Numerical Mathematics A Journal of Chinese Universities)
年 卷 期:2000年第22卷第3期
页 面:279-287页
核心收录:
学科分类:07[理学] 070102[理学-计算数学] 0701[理学-数学]
基 金:国家自然科学基金 上海市高校科技发展基金
主 题:Nonlinear bifurcation problems two-dimensional null space extended system pseudo arc-length homotopy continuation algorithm
摘 要:For the nonlinear bifurcation problems with two-dimensional null space,we propose an extel1ded system f which is generally not regular’ Applylng the pseudoarc-length homotopy continuatlon algorlthm on the singular problems, we give a newapproach to solving the nonlinear bifurcation problems with two-dimensional nullspace. The numerical exarnples show the effectiveness of the method.