Numerical Aspects And Solution Of Some Nonlinear Scrodinger Systems On A Distributed Parallel Computer

I. Martin, Francisco Tirado, Luis Vázquez, Víctor M. Pérez‐García · 2005

In this paper, the results to carry out suitable algorithms for the complex linear Schrodinger systems on a message-passing MIMD architecture are presented. l%is paper describes some methods to solve the linear system of equations, that arise for each time step, when the onedimensional nonlinear Schrodinger equation is solved by using the difference scheme oj' Zhang-V&zquez, on a parallel architecture. Relations bcitween scalability, rate of convergence and discretization p(arameters are studied to the Jacobi iterative method. Two methods, the Jacobi and the partial Jacobi were carried out over a onedimensional-chain of T805 Tranqmters.

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