A Hybrid Parallel Approach to One-Parameter Nonlinear
Boundary Value Problems
Gábor Domokos and Imre Szeberényi
Department of Strength of Materials,
This paper presents a global algorithm for parallel computers,
suitable to solve
nonlinear boundary value problems depending
on one parameter. Our method offers a mixture of
path continuation and scanning.
The former is well-known, the latter is a novel
approach introduced a few years ago, capable to
find all equilibria in a given domain.
The hybrid method combines the speed of path
continuation with the robustness and generality
of scanning, offering a transition between the
two methods which depends
on the choice of some characteristic control parameters.
We introduce the algorithms on a small example and test
it on large-scale problems.