ISTASC'06 Proceedings of the 6th WSEAS International Conference on Systems Theory & Scientific Computation
ISTASC'06 Proceedings of the 6th WSEAS International Conference on Systems Theory & Scientific Computation
WSEAS Transactions on Mathematics
WSEAS Transactions on Mathematics
MACMESE'08 Proceedings of the 10th WSEAS international conference on Mathematical and computational methods in science and engineering
FANDB'09 Proceedings of the 2nd WSEAS international conference on Finite differences, finite elements, finite volumes, boundary elements
SMO'05 Proceedings of the 5th WSEAS international conference on Simulation, modelling and optimization
EC'05 Proceedings of the 6th WSEAS international conference on Evolutionary computing
Two algorithms for numerical simulation of counter propagating matter waves in optical lattices
AMERICAN-MATH'10 Proceedings of the 2010 American conference on Applied mathematics
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In this paper the Numerical Solution of the system of PDEs of Schrodinger-Maxwell equations (with a general nonlinear term) via Finite Elements and Genetic Algorithms with Nelder-Mead is proposed. The method of Finite Elements and Genetic Algorithms with Nelder-Mead that has been proposed by the author recently is also used. (Recently, the existence of a nontrivial solution to the nonlinear Schrodinger-Maxwell equations in R3, assuming on the nonlinearity the general hypotheses introduced by Berestycki & Lions has been proved).