Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6417282 | Journal of Differential Equations | 2011 | 25 Pages |
Abstract
We introduce a splitting method for the semilinear Schrödinger equation and prove its convergence for those nonlinearities which can be handled by the classical well-posedness L2(Rd)-theory. More precisely, we prove that the scheme is of first order in the L2(Rd)-norm for H2(Rd)-initial data.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Liviu I. Ignat,