dc.contributor.author | Čiegis, Raimondas | |
dc.contributor.author | Radziunas, M. | |
dc.contributor.author | Lichtner, M. | |
dc.date.accessioned | 2023-09-18T17:12:46Z | |
dc.date.available | 2023-09-18T17:12:46Z | |
dc.date.issued | 2008 | |
dc.identifier.issn | 1392-6292 | |
dc.identifier.other | (BIS)VGT02-000017242 | |
dc.identifier.uri | https://etalpykla.vilniustech.lt/handle/123456789/120751 | |
dc.description.abstract | We consider a mathematical model, which describes Q-switching pro- cess. The finite difference scheme is developed for approximation of the given system of nonlinear PDEs. It is constructed by using the staggered grid, such a strategy enables an automatic linearization of the algorithm. The transport equations are approximated along characteristics z ±t, thus no discretization error is introduced at this stage. But such algorithm puts a strong relation between time and space steps of the discrete grid. The convergence analysis of this scheme is done using the method developed in [2]. First some estimates of the boundedness of the exact solution are proved. Then the boundedness of the discrete solution is investigated. On the basis of these estimates the main stability inequality is proved. The second order convergence rate with respect the space and time coordinates follows from this estimate. | eng |
dc.format | PDF | |
dc.format.medium | tekstas / txt | |
dc.language.iso | eng | |
dc.relation.isreferencedby | Science Citation Index Expanded (Web of Science) | |
dc.relation.isreferencedby | ISI Master Journal List | |
dc.relation.isreferencedby | INSPEC | |
dc.relation.isreferencedby | Zentralblatt MATH (zbMATH) | |
dc.relation.isreferencedby | VINITI | |
dc.source.uri | https://www.tandfonline.com/doi/abs/10.3846/1392-6292.2008.13.327-348 | |
dc.title | Numerical algorithms for simulation of multisection lasers by using traveling wave model | |
dc.type | Straipsnis Web of Science DB / Article in Web of Science DB | |
dcterms.references | 38 | |
dc.type.pubtype | S1 - Straipsnis Web of Science DB / Web of Science DB article | |
dc.contributor.institution | Vilniaus Gedimino technikos universitetas | |
dc.contributor.institution | Weierstrass Institute for Applied Analysis and Stochastics | |
dc.contributor.faculty | Fundamentinių mokslų fakultetas / Faculty of Fundamental Sciences | |
dc.subject.researchfield | N 001 - Matematika / Mathematics | |
dc.subject.en | Finite-difference method | |
dc.subject.en | Parallel algorithms | |
dc.subject.en | Mathematical modelling | |
dc.subject.en | Dynamics of lasers | |
dcterms.sourcetitle | Mathematical modelling and analysis: the Baltic journal on mathematical applications, numerical analysis and differential equations | |
dc.description.issue | no. 3 | |
dc.description.volume | Vol. 13 | |
dc.publisher.name | Technika | |
dc.publisher.city | Vilnius | |
dc.identifier.doi | 000263314600002 | |
dc.identifier.doi | 10.3846/1392-6292.2008.13.327-348 | |
dc.identifier.elaba | 3833617 | |