Publikationsdatum:
2015-03-26
Beschreibung:
Using average vector field method in time and Fourier pseudospectral method in space, we obtain an energy-preserving scheme for the nonlinear Schrödinger equation. We prove that the proposed method conserves the discrete global energy exactly. A deduction argument is used to prove that the numerical solution is convergent to the exact solution in discrete norm. Some numerical results are reported to illustrate the efficiency of the numerical scheme in preserving the energy conservation law.
Print ISSN:
1024-123X
Digitale ISSN:
1563-5147
Thema:
Mathematik
,
Technik allgemein