Publication: A note on the numerical solution of the semilinear Schrodinger equation
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Date
2009
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PERGAMON-ELSEVIER SCIENCE LTD
Abstract
The unique solvability of local and nonlocal boundary value problems for the semilinear Schrodinger equation in a Hilbert space is investigated. The convergence estimates for the solution of difference schemes are established. Some numerical examples illustrating the methods described in our work are given. Applicability of these methods to nonlinear Schrodinger equation is discussed. (C) 2009 Elsevier Ltd. All rights reserved.