A parallel algorithm for solving one problem of nonlinear optics

This paper deals with a system of nonlinear differential equations, which describe the interaction of two focussed laser beams.The problem is approximated by a splitting finite difference scheme. A nonuniform and adaptive difference grid is used in the analysis. A parallel version of the finite-dif...

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Main Authors: Raimondas Čiegis, Genė Kairytė, P. Ratė
Format: Article
Language:English
Published: Vilnius University Press 1998-12-01
Series:Lietuvos Matematikos Rinkinys
Online Access:https://ojs.test/index.php/LMR/article/view/37935
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author Raimondas Čiegis
Genė Kairytė
P. Ratė
author_facet Raimondas Čiegis
Genė Kairytė
P. Ratė
author_sort Raimondas Čiegis
collection DOAJ
description This paper deals with a system of nonlinear differential equations, which describe the interaction of two focussed laser beams.The problem is approximated by a splitting finite difference scheme. A nonuniform and adaptive difference grid is used in the analysis. A parallel version of the finite-difference scheme is proposed and the efficiency of this algorithm is investigated.
format Article
id doaj-art-25cca3e0011d4a258477f4b89db4c855
institution Kabale University
issn 0132-2818
2335-898X
language English
publishDate 1998-12-01
publisher Vilnius University Press
record_format Article
series Lietuvos Matematikos Rinkinys
spelling doaj-art-25cca3e0011d4a258477f4b89db4c8552025-01-03T06:37:51ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X1998-12-0138II10.15388/LMD.1998.37935A parallel algorithm for solving one problem of nonlinear opticsRaimondas Čiegis0Genė Kairytė1P. Ratė2Vilnius Gediminas Technical UniversityInstitute of Mathematics and InformaticsVytautas Magnus University This paper deals with a system of nonlinear differential equations, which describe the interaction of two focussed laser beams.The problem is approximated by a splitting finite difference scheme. A nonuniform and adaptive difference grid is used in the analysis. A parallel version of the finite-difference scheme is proposed and the efficiency of this algorithm is investigated. https://ojs.test/index.php/LMR/article/view/37935
spellingShingle Raimondas Čiegis
Genė Kairytė
P. Ratė
A parallel algorithm for solving one problem of nonlinear optics
Lietuvos Matematikos Rinkinys
title A parallel algorithm for solving one problem of nonlinear optics
title_full A parallel algorithm for solving one problem of nonlinear optics
title_fullStr A parallel algorithm for solving one problem of nonlinear optics
title_full_unstemmed A parallel algorithm for solving one problem of nonlinear optics
title_short A parallel algorithm for solving one problem of nonlinear optics
title_sort parallel algorithm for solving one problem of nonlinear optics
url https://ojs.test/index.php/LMR/article/view/37935
work_keys_str_mv AT raimondasciegis aparallelalgorithmforsolvingoneproblemofnonlinearoptics
AT genekairyte aparallelalgorithmforsolvingoneproblemofnonlinearoptics
AT prate aparallelalgorithmforsolvingoneproblemofnonlinearoptics
AT raimondasciegis parallelalgorithmforsolvingoneproblemofnonlinearoptics
AT genekairyte parallelalgorithmforsolvingoneproblemofnonlinearoptics
AT prate parallelalgorithmforsolvingoneproblemofnonlinearoptics