Mapped Chebyshev pseudospectral method to study multiple scale phenomena

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dc.creatorAlexandrescu, Adrian
dc.creatorBueno-Orovio, Alfonso
dc.creatorSalgueiro, Jose R.
dc.creatorPerez-Garcia, Victor M.
dc.date2007-06-21
dc.date2008-10-21
dc.date.accessioned2026-07-07T10:11:19Z
dc.date.available2026-07-07T10:11:19Z
dc.descriptionIn the framework of mapped pseudospectral methods, we introduce a new polynomial-type mapping function in order to describe accurately the dynamics of systems developing almost singular structures. Using error criteria related to the spectral interpolation error, the new polynomial-type mapping is compared against previously proposed mappings for the study of collapse and shock wave phenomena. As a physical application, we study the dynamics of two coupled beams, described by coupled nonlinear Schrödinger equations and modeling beam propagation in an atomic coherent media, whose spatial sizes differs up to several orders of magnitude. It is demonstrated, also by numerical simulations, that the accuracy properties of the new polynomial-type mapping outperforms in orders of magnitude the ones of the other studied mapping functions.
dc.descriptionsiamltex documentclass; submitted for publication
dc.identifierhttps://arxiv.org/abs/0706.3108
dc.identifierhttp://arxiv.org/abs/0706.3108
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171828
dc.subjectComputational Physics
dc.subjectOptics
dc.titleMapped Chebyshev pseudospectral method to study multiple scale phenomena
dc.typetext

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