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Mostrando ítems 1-3 de 3

Fourier methods for the perturbed harmonic oscillator in linear and nonlinear Schrödinger equations

Bader, Philipp; Blanes Zamora, Sergio (American Physical Society, 2011)

[EN] We consider the numerical integration of the Gross-Pitaevskii equation with a potential trap given by a time-dependent harmonic potential or a small perturbation thereof. Splitting methods are frequently used with ...
New efficient numerical methods to describe the heat transfer in a solid medium

Ponsoda Miralles, Enrique; Blanes Zamora, Sergio; Bader, Philipp (Elsevier, 2011-10)

The analysis of heat conduction through a solid with heat generation leads to a linear matrix differential equation with separated boundary conditions. We present a symmetric second order exponential integrator for the ...
Time-averaging and exponential integrators for non-homogeneous linear IVPs and BVPs

Blanes Zamora, Sergio; Ponsoda Miralles, Enrique (Elsevier, 2012-08)

We consider time-averaging methods based on the Magnus series expansion jointly with exponential integrators for the numerical integration of general linear non-homogeneous differential equations. The schemes can be ...

Mostrando ítems 1-3 de 3