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Journal Articles IMA Journal of Numerical Analysis Year : 2009

Gauss-Hermite wavepacket dynamics: convergence of the spectral and pseudo-spectral approximation

Abstract

The time dependent linear Schrödinger equation for nuclei on the whole space is semi-discretised using Hermite and Gauss-Hermite basis functions. These are well suited on the one hand for the conservation properties of the numerical solution and, on the other hand, for their remarkable approximation properties. We investigate theoretically and numerically the convergence of the spectral and pseudo- spectral Gauss-Hermite semi-discretisation schemes. Schrödinger equation, Gauss- Hermite approximation, spectral and pseudo-spectral methods
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Dates and versions

hal-00777661 , version 1 (17-01-2013)

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  • HAL Id : hal-00777661 , version 1

Cite

Erwan Faou, Vasile Gradinaru. Gauss-Hermite wavepacket dynamics: convergence of the spectral and pseudo-spectral approximation. IMA Journal of Numerical Analysis, 2009, 29, pp.1023-1045. ⟨hal-00777661⟩
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