[Zurück]


Zeitschriftenartikel:

W. Auzinger, H. Hofstätter, O. Koch:
"Non-existence of generalized splitting methods with positive coefficients of order higher than four";
Applied Mathematics Letters, 97 (2019), S. 48 - 52.



Kurzfassung englisch:
We prove that generalized exponential splitting methods making explicit use of commutators
of the vector fields are limited to order four when only real coefficients are admitted.
This generalizes the restriction to order two for classical splitting methods with only positive coefficients.

Schlagworte:
Non-reversible evolution equations, numerical time integration, generalized splitting methods, positive coefficients


"Offizielle" elektronische Version der Publikation (entsprechend ihrem Digital Object Identifier - DOI)
http://dx.doi.org/10.1016/j.aml.2019.05.017


Erstellt aus der Publikationsdatenbank der Technischen Universitšt Wien.