Application of numerical continuation to compute all solutions of semilinear elliptic equations

E Allgower, SG Cruceanu, S Tavener - 2009 - degruyter.com
We adapt numerical continuation methods to compute all solutions of finite difference
discretizations of nonlinear boundary value problems involving the Laplacian in two …

Turning points and bifurcations for homotopies of analytic maps

E Allgower, SG Cruceanu… - Contemporary …, 2009 - books.google.com
Curves that are implicitly defined by equations H (t, z)= 0, where the mapping H:[0, 1]× Cn→
Cn is analytic in the z-variables and smooth in the t-variable are studied under arclength …