On homotopy continuation method for computing multiple solutions to the Henon equation
- Additional Document Info
- View All
Motivated by numerical examples in solving semilinear elliptic PDEs for multiple solutions, some properties of Newton homotopy continuation method, such as its continuation on symmetries, the Morse index, and certain functional structures, are established. Those results provide useful information on selecting initial points for the method to find desired solutions. As an application, a bifurcation diagram, showing the symmetry/peak breaking phenomena of the Henon equation, is constructed. 2007 Wiley Periodicals, Inc.
Numerical Methods for Partial Differential Equations
author list (cited authors)
complete list of authors
Chen, Xianjin||Zhou, Jianxin