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. Nagrinėjamas kraštinis uždavinys Šredingerio lygčiai, aprašantis elektronų judėjimą girotrone. Darbe lyginami ir analizuojami Furje, baigtinių skirtumų ir degeneruotų matricų (DM) metodais gauti skaitiniai rezultatai. Aptartas metodo taikymas greitų osciliacijų atvėju.
Cirulis, T., Kalis, H., & Lietuvietis, O. (2004). Comparative analysis by means of finite differences and DM methods for linearized problem of gyrotrons. Mathematical Modelling and Analysis, 9(2), 127-136. https://doi.org/10.3846/13926292.2004.9637247
Authors who publish with this journal agree to the following terms
that this article contains no violation of any existing copyright or other third party right or any material of a libelous, confidential, or otherwise unlawful nature, and that I will indemnify and keep indemnified the Editor and THE PUBLISHER against all claims and expenses (including legal costs and expenses) arising from any breach of this warranty and the other warranties on my behalf in this agreement;
that I have obtained permission for and acknowledged the source of any illustrations, diagrams or other material included in the article of which I am not the copyright owner.
on behalf of any co-authors, I agree to this work being published in the above named journal, Open Access, and licenced under a Creative Commons Licence, 4.0 https://creativecommons.org/licenses/by/4.0/legalcode. This licence allows for the fullest distribution and re-use of the work for the benefit of scholarly information.
For authors that are not copyright owners in the work (for example government employees), please contact VILNIUS TECHto make alternative agreements.