Zeitschriftenartikel:
W. Auzinger, H. Hofstätter, O. Koch, M. Thalhammer:
"Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part III. The nonlinear case";
Journal of Computational and Applied Mathematics,
273
(2014),
S. 182
- 204.
Kurzfassung englisch:
The present work is concerned with the efficient time integration of nonlinear evolution equations by exponential operator splitting methods. Defect-based local error estimators serving as a reliable basis for adaptive stepsize control are constructed and analyzed. In the context of time-dependent nonlinear Schrödinger equations, asymptotical correctness of the local error estimators
associated with the first-order Lie-Trotter and second-order Strang splitting methods is proven. Numerical examples confirm the theoretical results and illustrate the performance of adaptive stepsize control.
"Offizielle" elektronische Version der Publikation (entsprechend ihrem Digital Object Identifier - DOI)
http://dx.doi.org/10.1016/j.cam.2012.01.001
Elektronische Version der Publikation:
http://dx.doi.org/10.1016/j.cam.2014.06.012
Zugeordnete Projekte:
Projektleitung Othmar Koch:
Adaptives Splitting für nichtlineare Schrödingergleichungen
Erstellt aus der Publikationsdatenbank der Technischen Universität Wien.