Finite Difference Method for an Optimal Control Problem for a Nonlinear Time-dependent Schrödinger Equation. (3rd June 2017)

• Record Type: Journal Article
• Authors: Yıldırım Aksoy, Nigar; Hào, Dinh Nho; Yagub, Gabil
• Is Part Of: Numerical functional analysis and optimization. Volume 38:Number 6(2017)
• Page Start: 799
• Page End: 817
• Publication Date: 2017-06-03
• Subjects: Finite difference method -- nonlinear time-dependent Schrödinger equation -- optimal control; 49M05 -- 49M25; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2016.1266656
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: The finite difference method is applied to an optimal control problem for a system governed by a nonlinear Schrödinger equation with a complex coefficient. The optimal control problem is discretized by the finite difference method, the error estimate for the finite difference scheme is established and the convergence of difference approximations of the optimal control according to the functional is proved.