ROBUST NUMERICAL METHODS FOR SOLVING THE poorly determined taskS OF ELECTRODYNAMICS AND NONLINEAR DYNAMICS

Abstract

The algorithms with specializing and stabilizing coefficients to provide sustainable solutions to systems of equations related to poorly determined tasks of electrodynamics and nonlinear dynamics are described. It demonstrates the use of the modified algorithms in the task of E0 i -waves propagation in irregular waveguide and dynamic model of Ressler's chaos. In the latter case it is demonstrated that ”deterministic” (i.e. reproducible) chaos is impossible .

Keywords

• poorly determined task
• stable numerical method
• supercritical waves in waveguide
• dynamic chaos