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Fourier-Hermite methods for perturbed harmonic oscillator problems

Bader, Philipp Karl Heinz (Universitat Politècnica de València, 2011-07-26)

In this work, we address the problem of solving non-linear Schrödinger equations numerically and find that an exact particular splitting technique shows superior performance to commonly used methods. We consider the ...
INTRODUCCIÓN A LOS MÉTODOS NUMÉRICOS PARA ECUACIONES DIFERENCIALES

Roselló Ferragud, María Dolores; Ginestar Peiro, Damián; Blanes Zamora, Sergio (Editorial Universitat Politècnica de València, 2020-07-13)

En el libro se presenta una introducción a los diferentes temas relacionados con la resolución numérica de ecuaciones diferenciales ordinarias y en derivadas parciales. Se comienza introduciendo distintos modelos matemáticos ...
Solving the Schrödinger eigenvalue problem by the imaginary time propagation technique using splitting methods with complex coefficients

Bader, Philipp; Blanes Zamora, Sergio; Casas, Fernando (American Institute of Physics (AIP), 2013-09-28)

The Schrodinger eigenvalue problem is solved with the imaginary time propagation technique. The separability of the Hamiltonian makes the problem suitable for the application of splitting methods. High order fractional ...

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