Zhi-Qiang Wang

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In this paper, a local minimax-Newton method is developed to solve for multiple saddle points. The local minimax method [15] is used to locate an initial guess and a version of the generalized Newton method is used to speed up convergence. When a problem possesses a symmetry, the local minimax method is invariant to the symmetry. Thus the symmetry can be(More)
In this paper, in order to solve an elliptic partial differential equation with a nonlin-ear boundary condition for multiple solutions, the authors combine a minimax approach with a boundary integral-boundary element method, and identify a subspace and its special expression so that all numerical computation and analysis can be carried out more efficiently(More)
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