Multilevel continuation techniques for nonlinear boundary value problems with parameter dependence

摘要

A new technique is described to continue along solution branches of parameter- dependent nonlinear boundary value problems in order to obtain accurate multigrid solutions at specified points. In particular, the implementation for a general class of second order equations in divergence form in the program PLTMG is described and analyzed. This method has proven to be very robust and efficient, as is illustrated by several examples.