Comparative analysis by means of finite differences and DM methods for linearized problem of gyrotrons
The problem of Schrödinger equation with complex boundary conditions for modelling a motion of electrons in gyrotrons is considered. Numerical results obtained by using Fourier, Finite Differences (FD) and Degenerate Matrices (DM) methods are compared in the simplest case. For DM methods they are an...
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Format: | Article |
Language: | English |
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Vilnius Gediminas Technical University
2004-06-01
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Series: | Mathematical Modelling and Analysis |
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Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/9715 |
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author | T. Cirulis H. Kalis O. Lietuvietis |
author_facet | T. Cirulis H. Kalis O. Lietuvietis |
author_sort | T. Cirulis |
collection | DOAJ |
description | The problem of Schrödinger equation with complex boundary conditions for modelling a motion of electrons in gyrotrons is considered. Numerical results obtained by using Fourier, Finite Differences (FD) and Degenerate Matrices (DM) methods are compared in the simplest case. For DM methods they are analysed also in more general cases, when FD can not be applied because of fast oscillations of the solution.
Baigtinių skirtumų ir DM metodo lygiamoji analizė linearizuotam girotrono uždaviniui
Santrauka
Nagrinejamas kraštinis uždavinys Šredingerio lygčiai, aprašantis elektronu judejima girotrone. Darbe lyginami ir analizuojami Furje, baigtiniu skirtumu ir degeneruotu matricu (DM) metodais gauti skaitiniai rezultatai. Aptartas metodo taikymas greitu osciliaciju atveju.
First Published Online: 14 Oct 2010 |
first_indexed | 2024-12-18T08:17:07Z |
format | Article |
id | doaj.art-06682104d1d94a4c8d2b0b10d7026372 |
institution | Directory Open Access Journal |
issn | 1392-6292 1648-3510 |
language | English |
last_indexed | 2024-12-18T08:17:07Z |
publishDate | 2004-06-01 |
publisher | Vilnius Gediminas Technical University |
record_format | Article |
series | Mathematical Modelling and Analysis |
spelling | doaj.art-06682104d1d94a4c8d2b0b10d70263722022-12-21T21:14:48ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102004-06-019210.3846/13926292.2004.9637247Comparative analysis by means of finite differences and DM methods for linearized problem of gyrotronsT. Cirulis0H. Kalis1O. Lietuvietis2Institute of Mathematics , Latvian Academy of Sciences and University of Latvia , Akademijas laukums 1, Riga, LV‐1524, LatviaInstitute of Mathematics , Latvian Academy of Sciences and University of Latvia , Akademijas laukums 1, Riga, LV‐1524, LatviaInstitute of Mathematics , Latvian Academy of Sciences and University of Latvia , Akademijas laukums 1, Riga, LV‐1524, LatviaThe problem of Schrödinger equation with complex boundary conditions for modelling a motion of electrons in gyrotrons is considered. Numerical results obtained by using Fourier, Finite Differences (FD) and Degenerate Matrices (DM) methods are compared in the simplest case. For DM methods they are analysed also in more general cases, when FD can not be applied because of fast oscillations of the solution. Baigtinių skirtumų ir DM metodo lygiamoji analizė linearizuotam girotrono uždaviniui Santrauka Nagrinejamas kraštinis uždavinys Šredingerio lygčiai, aprašantis elektronu judejima girotrone. Darbe lyginami ir analizuojami Furje, baigtiniu skirtumu ir degeneruotu matricu (DM) metodais gauti skaitiniai rezultatai. Aptartas metodo taikymas greitu osciliaciju atveju. First Published Online: 14 Oct 2010https://journals.vgtu.lt/index.php/MMA/article/view/9715gyrotronSchrödinger equationcomplex boundary conditionsFourier methodfinite differencesdegenerate matrices method |
spellingShingle | T. Cirulis H. Kalis O. Lietuvietis Comparative analysis by means of finite differences and DM methods for linearized problem of gyrotrons Mathematical Modelling and Analysis gyrotron Schrödinger equation complex boundary conditions Fourier method finite differences degenerate matrices method |
title | Comparative analysis by means of finite differences and DM methods for linearized problem of gyrotrons |
title_full | Comparative analysis by means of finite differences and DM methods for linearized problem of gyrotrons |
title_fullStr | Comparative analysis by means of finite differences and DM methods for linearized problem of gyrotrons |
title_full_unstemmed | Comparative analysis by means of finite differences and DM methods for linearized problem of gyrotrons |
title_short | Comparative analysis by means of finite differences and DM methods for linearized problem of gyrotrons |
title_sort | comparative analysis by means of finite differences and dm methods for linearized problem of gyrotrons |
topic | gyrotron Schrödinger equation complex boundary conditions Fourier method finite differences degenerate matrices method |
url | https://journals.vgtu.lt/index.php/MMA/article/view/9715 |
work_keys_str_mv | AT tcirulis comparativeanalysisbymeansoffinitedifferencesanddmmethodsforlinearizedproblemofgyrotrons AT hkalis comparativeanalysisbymeansoffinitedifferencesanddmmethodsforlinearizedproblemofgyrotrons AT olietuvietis comparativeanalysisbymeansoffinitedifferencesanddmmethodsforlinearizedproblemofgyrotrons |