Coupled anharmonic oscillators: the Rayleigh-Ritz approach versus the collocation approach

Details Coupled anharmonic oscillators: the Rayleigh-Ritz approach versus the collocation approach Coupled anharmonic oscillators: the Rayleigh-Ritz approach versus the collocation approach

2010-12-09

arxiv.org/abs/1012.2041v1

Physica Scripta 83 (2011) 015003

Physics

Quantum Physics

7 pages, 1 figure

Scientific paper

For a system of coupled anharmonic oscillators we compare the convergence
rate of the variational collocation approach presented recently by Amore and
Fernandez (2010 Phys.Scr.81 045011) with the one obtained using the optimized
Rayleigh-Ritz (RR) method. The monotonic convergence of the RR method allows us
to obtain more accurate results at a lower computational cost.

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