Numerical Solution of an Optimal Control Problem Governed by Two Dimensional Schrodinger Equation

Fatma Toyoglu

doi:10.11648/j.acm.20150402.11

Numerical Solution of an Optimal Control Problem Governed by Two Dimensional Schrodinger Equation

Applied and Computational Mathematics ◽

10.11648/j.acm.20150402.11 ◽

2015 ◽

Vol 4 (2) ◽

pp. 30 ◽

Cited By ~ 2

Author(s):

Fatma Toyoglu

Keyword(s):

Optimal Control ◽

Schrödinger Equation ◽

Optimal Control Problem ◽

Control Problem ◽

Numerical Solution ◽

Schrodinger Equation ◽

Two Dimensional

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An optimal control problem for two-dimensional Schrödinger equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.12.028 ◽

2012 ◽

Vol 218 (11) ◽

pp. 6177-6187 ◽

Cited By ~ 3

Author(s):

Gabil Yagubov ◽

Fatma Toyoğlu ◽

Murat Subaşı

Keyword(s):

Optimal Control ◽

Schrödinger Equation ◽

Optimal Control Problem ◽

Control Problem ◽

Schrodinger Equation ◽

Two Dimensional

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Optimal control problem for nonstationary Schrödinger equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20395 ◽

2009 ◽

Vol 25 (5) ◽

pp. 1195-1203 ◽

Cited By ~ 3

Author(s):

Bunyamin Yildiz ◽

Oguz Kilicoglu ◽

G. Yagubov

Keyword(s):

Optimal Control ◽

Schrödinger Equation ◽

Optimal Control Problem ◽

Control Problem ◽

Schrodinger Equation ◽

Nonstationary Schrödinger Equation

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On the optimal control problem for Schrödinger equation with complex potential

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.03.039 ◽

2010 ◽

Vol 216 (7) ◽

pp. 1896-1902 ◽

Cited By ~ 1

Author(s):

Hakan Yetişkin ◽

Murat Subaşı

Keyword(s):

Optimal Control ◽

Schrödinger Equation ◽

Optimal Control Problem ◽

Control Problem ◽

Complex Potential ◽

Schrodinger Equation

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On the optimal control problem for linear Schrödinger equation

Applied Mathematics and Computation ◽

10.1016/s0096-3003(00)00013-8 ◽

2001 ◽

Vol 121 (2-3) ◽

pp. 373-381 ◽

Cited By ~ 6

Author(s):

Bünyamin Yıldız ◽

Murat Subaşı

Keyword(s):

Optimal Control ◽

Schrödinger Equation ◽

Optimal Control Problem ◽

Control Problem ◽

Schrodinger Equation

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Numerical Solution of Two-Dimensional Variable-Order Fractional Optimal Control Problem by Generalized Polynomial Basis

Journal of Optimization Theory and Applications ◽

10.1007/s10957-018-1389-z ◽

2018 ◽

Vol 180 (2) ◽

pp. 536-555 ◽

Cited By ~ 13

Author(s):

Fakhrodin Mohammadi ◽

Hossein Hassani

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Numerical Solution ◽

Variable Order ◽

Two Dimensional ◽

Fractional Optimal Control Problem ◽

Fractional Optimal Control ◽

Generalized Polynomial ◽

Dimensional Variable

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On the existence and uniqueness of the solution of an optimal control problem for Schrödinger equation

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2019033 ◽

2019 ◽

Vol 12 (3) ◽

pp. 503-512

Author(s):

Gökçe Dİlek Küçük ◽

◽

Gabil Yagub ◽

Ercan Çelİk ◽

◽

...

Keyword(s):

Optimal Control ◽

Schrödinger Equation ◽

Optimal Control Problem ◽

Control Problem ◽

Existence And Uniqueness ◽

Schrodinger Equation ◽

Uniqueness Of The Solution

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An optimal control problem for the Schrödinger equation with a real-valued factor

Russian Mathematics ◽

10.3103/s1066369x10110034 ◽

2010 ◽

Vol 54 (11) ◽

pp. 27-35

Author(s):

N. M. Makhmudov

Keyword(s):

Optimal Control ◽

Schrödinger Equation ◽

Optimal Control Problem ◽

Control Problem ◽

Schrodinger Equation

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Constructive solution of a bilinear optimal control problem for a Schrödinger equation

Systems & Control Letters ◽

10.1016/j.sysconle.2007.11.002 ◽

2008 ◽

Vol 57 (6) ◽

pp. 453-464 ◽

Cited By ~ 20

Author(s):

Lucie Baudouin ◽

Julien Salomon

Keyword(s):

Optimal Control ◽

Schrödinger Equation ◽

Optimal Control Problem ◽

Control Problem ◽

Schrodinger Equation ◽

Constructive Solution

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Finite Difference Method for an Optimal Control Problem for a Nonlinear Time-dependent Schrödinger Equation

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2016.1266656 ◽

2016 ◽

Vol 38 (6) ◽

pp. 799-817 ◽

Cited By ~ 1

Author(s):

Nigar Yıldırım Aksoy ◽

Dinh Nho Hào ◽

Gabil Yagub

Keyword(s):

Optimal Control ◽

Finite Difference ◽

Finite Difference Method ◽

Schrödinger Equation ◽

Optimal Control Problem ◽

Control Problem ◽

Difference Method ◽

Schrodinger Equation ◽

Time Dependent

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An optimal control problem governed by the potential of a linear Schrodinger equation

Applied Mathematics and Computation ◽

10.1016/s0096-3003(01)00161-8 ◽

2002 ◽

Vol 131 (1) ◽

pp. 95-106 ◽

Cited By ~ 6

Author(s):

Murat Subaşi

Keyword(s):

Optimal Control ◽

Schrödinger Equation ◽

Optimal Control Problem ◽

Control Problem ◽

Schrodinger Equation

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