A splitting method for the nonlinear Schrodinger equation

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:250

Article

Ignat, Liviu I.^1,2 

[1] Acad Romana, Inst Math Simion Stoilow, RO-014700 Bucharest, Romania

[2] BCAM, Basque Country, Spain

关键词: Semilinear Schrodinger equation;    Split-step method;    Stability;    Error analysis;   

DOI  :  10.1016/j.jde.2011.01.028

来源: Elsevier

【 摘 要 】

We introduce a splitting method for the semilinear Schrodinger equation and prove its convergence for those nonlinearities which can be handled by the classical well-posedness L(2)(R(d))-theory. More precisely, we prove that the scheme is of first order in the L(2)(R(d))-norm for H(2)(R(d))-initial data. (C) 2011 Published by Elsevier Inc.

【 授权许可】

Free