Published since January 1, 1986

Russian Journal of Numerical Analysis and Mathematical Modelling

ISSN: 1569-3988

Editors-in-chief: Valentin P. Dymnikov, Yuri A. Kuznetsov

Managing Editor: Yuri V. Vassilevski

About this journal

Objective
The Russian Journal of Numerical Analysis and Mathematical Modelling, published bimonthly, provides English translations of selected new original Russian papers on the theoretical aspects of numerical analysis and the application of mathematical methods to simulation and modelling. The editorial board, consisting of the most prominent Russian scientists in numerical analysis and mathematical modelling, selects papers on the basis of their high scientific standard, innovative approach and topical interest.

Topics

numerical analysis
numerical linear algebra
finite element methods for PDEs
iterative methods
Monte-Carlo methods
mathematical modelling and numerical simulation in geophysical hydrodynamics, immunology and medicine, fluid mechanics and electrodynamics, geosciences

Article formats
Research articles

> Information on submission process

Your Benefits

Your benefits:

State-of-the-art original Russian papers in the field of numerical analysis and mathematical modelling translated in English
Imperative topics of high interest and relevance to the international research community
Leading Russian experts as members of the Editorial Board

Abstracting and Indexing

Russian Journal of Numerical Analysis and Mathematical Modelling is covered by the following services:

Baidu Scholar
Cabells Journalytics
CNKI Scholar (China National Knowledge Infrastructure)
CNPIEC - cnpLINKer
Dimensions
EBSCO (relevant databases)
EBSCO Discovery Service
Ei Compendex
Engineering Village
Genamics JournalSeek
Google Scholar
Inspec
Japan Science and Technology Agency (JST)
J-Gate
Journal Citation Reports/Science Edition
JournalGuide
JournalTOCs
KESLI-NDSL (Korean National Discovery for Science Leaders)
Mathematical Reviews (MathSciNet)
MyScienceWork
Naver Academic
Naviga (Softweco)
Primo Central (ExLibris)
ProQuest (relevant databases)
Publons
QOAM (Quality Open Access Market)
ReadCube
Scilit
SCImago (SJR)
SCOPUS
Semantic Scholar
Sherpa/RoMEO
Summon (ProQuest)
TDNet
Ulrich's Periodicals Directory/ulrichsweb
WanFang Data
Web of Science - Science Citation Index Expanded
WorldCat (OCLC)
X-MOL
Yewno Discover
zbMATH Open

Supplementary Materials

Topics

External Links

Publication Ethics and Malpractice Statement

Volume 38 Issue 2

March 2023

Publicly Available April 11, 2023

Page range: i-iii

Download PDF

April 11, 2023

Effect of electron temperature on formation of travelling waves in plasma: Kinetic and hydrodynamic models

Eugene V. Chizhonkov, Alexander A. Frolov

Page range: 63-74

Abstract

The kinetic formulation of the model problem of plasma waves excitation by a powerful short laser pulse is numerically studied for the first time. Kinetic and simplest hydrodynamic plasma models are also compared for the problem under consideration. It is shown that the considered hydrodynamic models do not provide good approximations to the solution to the Vlasov kinetic equation, namely, one leads to discontinuous solutions and the other has a significant qualitative distinction. At a low plasma temperature, the effect of non-isothermicity of the process is small, but it can lead to significant distortions of the solution during further heating. The results obtained here imply that the first two moments of the distribution function are not enough to describe the plasma hydrodynamics; higher-order moments should be used.

April 11, 2023

Computational methods for multiscale modelling of virus infection dynamics

Dmitry S. Grebennikov

Page range: 75-87

Abstract

Virus infection dynamics is governed by the processes on multiple scales: on the whole organism level, tissue level, and intracellular level. In this paper, we develop a multi-scale multi-compartment model of HIV infection in a simplified setting and the computational methods for numerical realization of the model. The multiscale model describes the processes from various scales and of different nature (cell motility, virus diffusion, intracellular virus replication). Intracellular replication model is based on a Markov chain with time-inhomogeneous propensities that depend on the extracellular level of virions. Reaction diffusion equations used to model free virion diffusion in the lymphoid tissue have moving sources, which are determined by the positions of the infected cells (immune cell motility model) and the rate of virion secretion from them (intracellular model). Immune cell motility model parameterizes the intercellular interaction forces, friction and the stochastic force of active cell motility. Together, this allows for a proper description of the intracellular stochasticity that propagates across multiple scales. A hybrid discrete-continuous stochastic-deterministic algorithm for simulation of the multiscale model based on the uniformization Monte Carlo method is implemented.

April 11, 2023

Dependence of optimal disturbances on periodic solution phases for time-delay systems

Michael Yu. Khristichenko, Yuri M. Nechepurenko, Gennady A. Bocharov

Page range: 89-98

Abstract

The paper is focused on the dependence of optimal disturbances of stable periodic solutions of time-delay systems on phases of such solutions. The results of numerical experiments with the well-known model of the dynamics of infection caused by lymphocytic choriomeningitis virus are presented and discussed. A new more efficient method for computing the optimal disturbances of periodic solutions is proposed and used.

April 11, 2023

Sketching for a low-rank nonnegative matrix approximation: Numerical study

Sergey Matveev, Stanislav Budzinskiy

Page range: 99-114

Abstract

We propose new approximate alternating projection methods, based on randomized sketching, for the low-rank nonnegative matrix approximation problem: find a low-rank approximation of a nonnegative matrix that is nonnegative, but whose factors can be arbitrary. We calculate the computational complexities of the proposed methods and evaluate their performance in numerical experiments. The comparison with the known deterministic alternating projection methods shows that the randomized approaches are faster and exhibit similar convergence properties.

Volume 38 (2023)

Volume 37 (2022)

Volume 36 (2021)

Volume 35 (2020)

Volume 34 (2019)

Volume 33 (2018)

Volume 32 (2017)

Volume 31 (2016)

Volume 30 (2015)

Volume 29 (2014)

Volume 28 (2013)

Volume 27 (2012)

Volume 26 (2012)

Volume 25 (2010)

Volume 24 (2009)

Volume 23 (2008)

Volume 22 (2007)

Volume 21 (2006)

Volume 20 (2005)

Volume 19 (2004)

Volume 18 (2003)

Volume 17 (2002)

Volume 16 (2001)

Volume 15 (2000)

Volume 14 (1999)

Volume 13 (1998)

Volume 12 (1997)

Volume 11 (1996)

Volume 10 (1995)

Volume 9 (1994)

Volume 8 (1993)

Volume 7 (1992)

Volume 6 (1991)

Volume 5 (1990)

Volume 4 (1989)

Volume 3 (1988)

Volume 2 (1987)

Volume 1 (1986)

5-year Journal Impact Factor	0.893
CiteScore	2.5
Journal Impact Factor	1.150
Journal Citation Indicator	0.57
Mathematical Citation Quotient	0.15
SCImago Journal Rank	0.460
Source Normalized Impact per Paper	1.088

Submit

Submission
The contents of the Russian Journal of Numerical Analysis and Mathematical Modeling is based on the results of research conducted in the Russian Federation. To this end, the Editorial Board considers for publication primarily papers in which at least one of the authors is a citizen of Russia. The Editorial Board also considers papers based on research conducted by Russian scientists outside of Russia. The papers can be submitted via e-mail to the Managing Editor written either in Russian or English language.

Your benefits of publishing with us

Rapid online publication ahead-of-print with short turnaround times
Optional open access publication
Accepted papers will be published online first as DOI-citable, forward-linked articles for quickest possible visibility for the scientific community
Every article easily discoverable because of SEO and comprehensive abstracting and indexing services
Convenient citation tracking via e-mail alert
Secure archiving by De Gruyter and the independent archiving service Portico
Professional sales and marketing support

Submission process

Submission of your manuscript
Peer review process (you will be guided through every step)
Decision on your paper
If accepted: you have the option to publish it open access
Publication online and in print

Please note

Before submitting your article please have a look at our Instruction for Authors, Ethical Guidelines and our Copyright Transfer Agreement
Once your article is accepted you have the option to publish it open access
Our repository policy allows you to distribute 30 PDF copies of your published article to colleagues (the PDF has to include the information that it is an author's copy). Please also feel free to distribute the link to the online abstract
If you have any general questions please visit our FAQ page for authors

We look forward to receiving your manuscript!

Hybrid Open Access

Please note that authors from institutions with which we have a transformative agreement can publish open access without paying an article processing charge (APC). More information on the eligible institutions and articles can be found under the "Funding and Support" tab here

Editorial

EDITORS-IN-CHIEF
Valentin P. Dymnikov, Moscow
Yuri A. Kuznetsov, Houston/Moscow

MANAGING EDITOR
Yuri V. Vassilevski, Moscow
Institute of Numerical Mathematics of Russian Academy of Sciences Gubkina str. 8
Moscow 119333, Russia
Email: journal [at] dodo.inm.ras.ru

EDITORIAL BOARD
Valery I. Agoshkov, Moscow
Vladimir A. Garanzha, Moscow
Nikolay G. Iakovlev, Moscow
Georgy M. Kobelkov, Moscow
Gennady A. Mikhailov, Novosibirsk
Yuri M. Nechepurenko, Moscow
Sergey I. Repin, St. Petersburg
Vladimir V. Shaidurov, Krasnojarsk
Yurii I. Shokin, Novosibirsk
Eugene E. Tyrtyshnikov, Moscow

(Deutsch)

Online ISSN: 1569-3988
Print ISSN: 0927-6467
Type: Journal
Language: English
Publisher: De Gruyter
First published: January 1, 1986
Publication Frequency: 6 Issues per Year
Audience: researchers in the field of numerical analysis and mathematical modelling

Russian Journal of Numerical Analysis and Mathematical Modelling

Contents

Effect of electron temperature on formation of travelling waves in plasma: Kinetic and hydrodynamic models

Abstract

Computational methods for multiscale modelling of virus infection dynamics

Abstract

Dependence of optimal disturbances on periodic solution phases for time-delay systems

Abstract

Sketching for a low-rank nonnegative matrix approximation: Numerical study

Abstract