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

Impact Factor: 1.150

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

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Publication Ethics and Malpractice Statement

Volume 37 Issue 3

June 2022

Publicly Available June 15, 2022

Frontmatter

Page range: i-iii

Download PDF

June 15, 2022

Variational data assimilation for a sea dynamics model

Valery Agoshkov, Vladimir Zalesny, Victor Shutyaev, Eugene Parmuzin, Natalia Zakharova

Page range: 131-142

Abstract

The 4D variational data assimilation technique is presented for modelling the sea dynamics problems, developed at the Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences (INM RAS). The approach is based on the splitting method for the mathematical model of sea dynamics and the minimization of cost functionals related to the observation data by solving an optimality system that involves the adjoint equations and observation and background error covariances. Efficient algorithms for solving the variational data assimilation problems are presented based on iterative processes with a special choice of iterative parameters. The technique is illustrated for the Black Sea dynamics model with variational data assimilation to restore the sea surface heat fluxes.

June 15, 2022

Connection between the existence of a priori estimate for a flux and the convergence of iterative methods for diffusion equation with highly varying coefficients

George M. Kobelkov, Eckart Schnack

Page range: 143-147

Abstract

An iterative method with the number of iterations independent of the coefficient jumps is proposed for the boundary value problem for a diffusion equation with highly varying coefficient. The method applies one solution of the Poisson equation at each step of iteration. In the present paper we extend the class of domains the iterative method is justified for.

June 15, 2022

Mesh scheme for a phase transition problem with time-fractional derivative

Alexander Lapin

Page range: 149-158

Abstract

The time-fractional phase transition problem, formulated in enthalpy form, is studied. This nonlinear problem with an unknown moving boundary includes, as an example, a mathematical model of one-phase Stefan problem with the latent heat accumulation memory. The posed problem is approximated by the backward Euler mesh scheme. The unique solvability of the mesh scheme is proved and a priori estimates for the solution are obtained. The properties of the mesh problem are studied, in particular, an estimate of movement rate for the mesh phase transition boundary is established. The proved estimate make it possible to localize the phase transition boundary and split the mesh scheme into the sum of a nonlinear problem of small algebraic dimension and a larger linear problem. This information can be used for further construction of efficient algorithms for implementing the mesh scheme. Several algorithms for implementing mesh scheme are briefly discussed.

June 15, 2022

A finite element scheme for the numerical solution of the Navier–Stokes/Biot coupled problem

Alexander Lozovskiy, Maxim A. Olshanskii, Yuri V. Vassilevski

Page range: 159-174

Abstract

A finite element method for a monolithic quasi-Lagrangian formulation of a fluid–porous structure interaction problem with a corrected balance of stresses on the fluid–structure interface is considered. Deformations of the elastic medium are not necessarily small and are modelled using Saint Venant–Kirchhoff (SVK) constitutive relation. The stability of the method is proved in a form of energy bound for the finite element solution.

June 15, 2022

Difference schemes for second-order ordinary differential equations with corrector and predictor properties

Vladimir V. Shaidurov, Anton E. Novikov

Page range: 175-187

Abstract

A technique for constructing a sequence of difference schemes with the properties of a corrector and a predictor for integrating systems of the second-order ordinary differential equations is presented. The sequence of schemes begins with the explicit three-point Störmer method of the second order of approximation. Each subsequent scheme also implements the Störmer method corrected with additional terms calculated through the solution of the previous scheme. The stability of the resulting schemes and the increase in the order of convergence for the first of them are carefully substantiated. The results of calculations of the test problem are presented, confirming the increase in the order of accuracy of the constructed methods.

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 Impact Factor	0.893
Cite Score	2.5
Impact Factor	1.150
Journal Citation Indicator	0.57
Mathematical Citation Quotient	0.20
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
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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