On the Polysymplectic Integrator for the Short Pulse Equation

Autor:	Pietrzyk, Monika E., Kanatchikov, Igor V.
Rok vydání:	2015
Předmět:	Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	The polysymplectic analysis of the Short Pulse Equation known in nonlinear optics is used in order to construct a geometric polysymplectic integrator for it. The proposed scheme turns out to be much more effective than other standard integration schemes for nonlinear PDEs, such as the pseudo-spectral integrator. In our numerical experiments the polysymplectic integrator appears to be an order of magnitude more precise and approximately 2.5 times faster at long propagation times than the pseudo-spectral method. Comment: 11 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1512.09105 Zobrazit plný text záznamu View this record from Arxiv