PROGRAM SYSTEMS: THEORY AND APPLICATIONS

12+

 

Online Scientific Journal published by the Ailamazyan Program Systems Institute of the Russian Academy of Sciences

Supercomputing Software and Hardware
Mathematical Modelling

Papers are accepted in the form of a PDF file

To view the PDF files, you will need Adobe Acrobat Reader

    

• Содержание выпуска •
• Supercomputing Software and Hardware •
• Mathematical Modelling •

Mathematical Modelling

Responsible for the Section: doctor of technical Sciences Vladimir Gurman, candidate of technical Sciences Sergei Amelkin

On the left: assigned number of the paper, submission date, the number of A5 pages contained in the paper, and the reference to the full-text PDF .

 

Article # 3_2019

14 p.

PDF

submitted on 19th Dec 2018 displayed on website on 26th March 2019

A. D. Panferov, A. V. Makhankov
Simulation of the effect of short optical pulses on graphene

The interaction of high-frequency pulsed electric fields with graphene is currently the subject of intense research. The paper presents the results of testing a software system for modeling such processes using the example of ultrashort laser pulses of the optical range with different polarizations. The authors develop the system on a base of a new theoretical approach based on the quantum kinetic equation. The approach contains a computational model for a new system of ordinary differential equations with non-linearly dependent on time and problem parameters coefficients.
The need to analyze the behavior of solutions of this system of equations in the field of changing several parameters leads to the polynomial computational complexity. The lack of knowledge of the nature of the parametric dependence of solutions requires several iterations of the choice of covering grids. The paper describes the adaptation of this modeling system for use in massively parallel computing systems. (In Russian).

Key words: numerical simulation, high performance computing, graphene, kinetic equation.

article citation

http://psta.psiras.ru/read/psta2019_1_33-46.pdf

 DOI

https://doi.org/10.25209/2079-3316-2019-10-1-33-46

Article # 4_2019

12 p.

PDF

submitted on 19th Dec 2018 displayed on website on 26th March 2019

A. D. Panferov, A. V. Makhankov
Simulation of the effect of short optical pulses on graphene

The interaction of high-frequency pulsed electric fields with graphene is currently the subject of intense research. The paper presents the results of testing a software system for modeling such processes using the example of ultrashort laser pulses of the optical range with different polarizations. The authors develop the system on a base of a new theoretical approach based on the quantum kinetic equation. The approach contains a computational model for a new system of ordinary differential equations with non-linearly dependent on time and problem parameters coefficients.
The need to analyze the behavior of solutions of this system of equations in the field of changing several parameters leads to the polynomial computational complexity. The lack of knowledge of the nature of the parametric dependence of solutions requires several iterations of the choice of covering grids. The paper describes the adaptation of this modeling system for use in massively parallel computing systems.

Key words: numerical simulation, high performance computing, graphene, kinetic equation.

article citation

http://psta.psiras.ru/read/psta2019_1_47-58.pdf

 DOI

https://doi.org/10.25209/2079-3316-2019-10-1-47-58

   
   

• Supercomputing Software and Hardware •
• Mathematical Modelling •

 

Adress: Ailamazyan Program Systems Institute of the Russian Academy of Sciences, PSTA Online Journal, 4 a Peter the First Street,
Veskovo village, Pereslavl area, Yaroslavl region, 152021 Russia
Phone: +7-4852-695-228.       E-mail: info@psta.psiras.ru.      Website: http://psta.psiras.ru

© Electronic Scientific Journal "Program Systems: Theory and Applications" 2010-2017
© Ailamazyan Program System Institute of RAS 2010-2018