A parallel algorithm for solving one problem of nonlinear optics

Raimondas Čiegis; Genė Kairytė; P. Ratė

doi:10.15388/LMD.1998.37935

Articles

Raimondas Čiegis

Vilnius Gediminas Technical University

Genė Kairytė

Institute of Mathematics and Informatics

P. Ratė

Vytautas Magnus University

Published 1998-12-14

https://doi.org/10.15388/LMD.1998.37935

PDF

How to Cite

Čiegis, R., Kairytė, G. and Ratė, P. (1998) “A parallel algorithm for solving one problem of nonlinear optics”, Lietuvos matematikos rinkinys, 38(II), pp. 379–383 . doi:10.15388/LMD.1998.37935.

Download Citation

Abstract

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.

PDF

This work is licensed under a Creative Commons Attribution 4.0 International License.

Downloads

Download data is not yet available.

Most read articles by the same author(s)

Raimondas Čiegis, Gerda Jankevičiūtė, Teresė Leonavičienė, Proper orthogonal decomposition method for Schrödinger equation , Lietuvos matematikos rinkinys: Vol. 54 (2013): Ser. B
Gerda Jankevičiūtė, Teresė Leonavičienė, Raimondas Čiegis, Proper orthogonal decomposition method for some parabolic type equations , Lietuvos matematikos rinkinys: Vol. 53 (2012): Ser. B
Aleksandras Krylovas, Olga Štikonienė, Raimondas Čiegis, Mečislavas Meilūnas, The localization of ischemic stroke region in CT-images using a-priori information , Lietuvos matematikos rinkinys: Vol. 44 (2004)
Raimondas Čiegis, Aleksandras Krylovas, Mečislavas Meilūnas, On some computer tomography mathematical problems , Lietuvos matematikos rinkinys: Vol. 43 (2003)
Raimondas Čiegis, Mečislovas Meilūnas, Olga Subač, Numerical schemes for 3D parabolic problem with non-local boundwy condition , Lietuvos matematikos rinkinys: Vol. 44 (2004)
Raimondas Čiegis, Aleksandr Jakušev, Parallel algorithms in image filtering , Lietuvos matematikos rinkinys: Vol. 45 (2005)
Raimondas Čiegis, Genė Kairytė, Violeta Pakalnytė, On nonlinear Schrödinger problem with amplification process , Lietuvos matematikos rinkinys: Vol. 40 (2000)
Raimondas Čiegis, Olga Štikonienė, Olga Suboč, On one problem with non-local boundary conditions , Lietuvos matematikos rinkinys: Vol. 41 (2001)
Raimondas Čiegis, Vadimas Starikovičius, Audrius Volkas, Mathematical modelling of wood drying process , Lietuvos matematikos rinkinys: Vol. 40 (2000)
Raimondas Čiegis, Olga Suboč, On the accuracy of aposteriori error estimators , Lietuvos matematikos rinkinys: Vol. 40 (2000)

1 2 3 > >>