Iterative methods and stability of steady-state solutions

Article type: Research Article

Authors: Čiegis, Raimondas | Kairytė, Genė | Dementjev, Aleksandr

Affiliations: Institute of Mathematics and Informatics, 2600 Vilnius, Akademijos St. 4, Lithuania | Institute of Physics, 2600 Vilnius, Goštauto St. 12, Lithuania

Abstract: This paper is devoted to the new approach in the stability analysis of steady state solutions. Two important nonlinear optics problems are used as model problems. Stability properties of classical and splitting difference schemes are investigated. Some numerical results are given.

Keywords: difference schemes, stability, iterative methods, splitting methods, nonlinear optics

DOI: 10.3233/INF-1993-43-403

Journal: Informatica, vol. 4, no. 3-4, pp. 277-294, 1993