Учредитель – Федеральное государственное автономное образовательное
учреждение высшего образования
Южно-Уральский государственный университет
(национальный исследовательский университет)≫
≪
Основной целью издания является пропаганда союза качественных и численных исследований
математических моделей. Предпочтение при публикации будут иметь статьи, посвященные
результатам качественных исследований математических моделей, выявляющих
какие-либо неочевидные их свойства; результатам численных исследований, содержащих
разработки новых вычислительных алгоритмов применительно к математическим моделям;
и комплексам программ, созданным для постановки вычислительных экспериментов.
Редакционная коллегия
к.ф.-м.н., доц. Бычков Е.В.,
к.ф.-м.н., проф. Заляпин В.И.,
д.ф.-м.н., проф. Замышляева А.А.,
д.ф.-м.н., доц. Келлер А.В.,
д.ф.-м.н., проф. Манакова Н.А.
(отв. секретарь),
д.ф.-м.н., проф. Свиридюк Г.А.
(гл. редактор)
Редакционный совет
проф., д-р Аббас С.,
д.ф.-м.н., проф. Банасяк Я.,
д.т.н., проф. Богомолов А.В.,
д.т.н., проф. Володарский Е.Т.,
проф., д-р Вонг П.,
д.ф.-м.н., проф. Зелик С.В.,
проф., д-р Йонг Ли,
д.ф.-м.н., проф. Кадченко С.И.,
д.ф.-м.н., акад. НАН Республики
Казахстан Кальменов Т.Ш.,
д.ф.-м.н., проф. Корпусов М.О.,
д.т.н., акад. РАН Новиков Д.А.
(председатель),
д.т.н., г.н.с. Поляк Б.Т.,
д.ф.-м.н., проф. Пятков С.Г.,
проф., д-р Ривера Ж.Е.М.,
проф., д-р Tа Зуй Фыонг,
проф., д-р Тиба Д.,
д.т.н., проф. Уткин Л.В.,
проф., д-р Фавини А.,
д.ф.-м.н., проф. Фурсиков А.В.,
д.ф.-м.н., чл.-кор. РАН Ченцов А.Г.
⃝c Издательский центр ЮУрГУ, 2022
Стр.1
South Ural State University
Main purpose of the publication is to promote the union of the qualitative of numerical studies of
mathematical models. Articles, devoted to the results of qualitative studies of mathematical models, that
identify any non-obvious properties, the results of numerical studies that contain the development of
new computational algorithms applied for the computational experiments, will have the preference for
publication.
Editorial Board
E.V. Bychkov, South Ural State University, Chelyabinsk, Russian Federation
A.V. Keller, Voronezh State Technical University, Voronezh, Russian Federation
N.A. Manakova, South Ural State University, Chelyabinsk, Russian Federation
G.A. Sviridyuk, South Ural State University, Chelyabinsk, Russian Federation
V.I. Zalyapin, South Ural State University, Chelyabinsk, Russian Federation
A.A. Zamyshlyaeva, South Ural State University, Chelyabinsk, Russian Federation
Editorial Council
S. Abbas, Indian Institute of Technology Mandi, Mandi, India
J. Banasiak, University of Pretoria, Pretoria, Republic of South Africa
A.V. Bogomolov, Burnasyan Federal Medical Biophysical Center of Federal Medical Biological
Agency, Moscow, Russian Federation
A.G. Chentsov, Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the RAS,
Yekaterinburg, Russian Federation
A.V. Fursikov, Lomonosov Moscow State University, Moscow, Russian Federation
A. Favini, University of Bologna, Bologna, Italy
S.I. Kadchenko, Nosov Magnitogorsk State Technical University, Magnitogorsk, Russian Federation
T.Sh. Kal’menov, Institute of Mathematics and Mathematical Modelling, Almaty, Kazakhstan
M.O. Korpusov, Lomonosov Moscow State University, Moscow, Russian Federation
D.A. Novikov, V.A. Trapeznikov Institute of Control Sciences of the RAS, Moscow, Russian Federation
B.T. Polyak, V.A. Trapeznikov Institute of Control Sciences of the RAS, Moscow, Russian Federation
S.G. Pyatkov, Sobolev Institute of Mathematics, Siberian Branch of the RAS, Novosibirsk,
Russian Federation
J.E.M. Rivera, Federal University of Rio de Janeiro, Institute of Mathematic, Rio de Janeiro, Brazil
Ta Duy Phuong, Hanoi Institute of Mathematics, Hanoi, Vietnam
D. Tiba, Institute of Mathematics Romanian Academy, Bucharest, Romania
E.T. Volodarskiy, National Technical University, Kiev, Ukraine
L.V. Utkin, Peter the Great Saint-Petersburg Polytechnic University, Saint Petersburg,
Russian Federation
P.J.Y. Wong, Nanyang Technological University, School of Electrical and Electronic Engineering,
Singapore, Singapore
Yong Li, College of Electrical and Information Engineering, Hunan University, Changsha, China
S.V. Zelik, University of Surrey, Guildford, United Kingdom
76, Lenin ave, Chelyabinsk, 454080, Russian Federation, vestnik@susu.ru, mmp.vestnik.susu.ru
Стр.2
Содержание
Математическое моделирование
ПРИМЕНЕНИЕ ДРОБНО-РАЦИОНАЛЬНЫХ ИНТЕРПОЛЯЦИЙ ДЛЯ РЕШЕНИЯ
КРАЕВЫХ ЗАДАЧ С ОСОБЕННОСТЯМИ
Б.В. Семисалов
DIFFERENTIAL EQUATIONS OF ELLIPTIC TYPE WITH VARIABLE OPERATORS
AND HOMOGENEOUS ROBIN BOUNDARY VALUE CONDITION
IN UMD SPACES
Rabah Haoua
TWO-STAGE PARAMETRIC IDENTIFICATION PROCEDURE
FOR A SATELLITE MOTION MODEL BASED ON ADAPTIVE UNSCENTED
KALMAN FILTERS
O.S. Chernikova, А.К. Grechkoseev, I.G. Danchenko
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
. . . . . . . . . . . . . . . . . . . . . . . . . . 32
Программирование
INTERNAL BONE MARROW DOSIMETRY: THE EFFECT OF THE EXPOSURE
DUE TO 90Sr INCORPORATED IN THE ADJACENT BONE SEGMENTS
A.Yu. Volchkova, P.A. Sharagin, E.A. Shishkina
DECOMPOSITION OF THE PROBLEM IN THE NUMERICAL SOLUTION
OF DIFFERENTIAL-ALGEBRAIC SYSTEMS FOR CHEMICAL REACTIONS
WITH PARTIAL EQUILIBRIA
I.G. Donskoy
ALGORITHM FOR PROCESSING THE RESULTS OF CALCULATIONS
FOR DETERMINING THE BODY OF OPTIMAL PARAMETERS
IN THE WEIGHTED FINITE ELEMENT METHOD
V.A. Rukavishnikov, D.S. Seleznev, A.A. Guseinov
METHOD FOR ANALYZING THE STRUCTURE OF NOISY IMAGES
OF ADMINISTRATIVE DOCUMENTS
O.V. Slavin, E.L. Pliskin
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
. . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
Краткие сообщения
NUMERICAL METHOD FOR SOLVING THE INVERSE PROBLEM
OF NON-STATIONARY FLOW OF VISCOELASTIC FLUID IN THE PIPE
A.R. Aliev, Kh.M. Gamzaev, A.A. Darwish, T.A. Nofal
МЕТОДЫ ИССЛЕДОВАНИЯ УСТОЙЧИВОСТИ И СТАБИЛИЗАЦИИ
НЕКОТОРЫХ СИСТЕМ С БОЛЬШИМ ЗАПАЗДЫВАНИЕМ
Б.Г. Гребенщиков, А.Б. Ложников
PARALLEL DELIVERY OPERATIONS MODELLING
D.S. Zavalishchin, K.K. Vakolyuk
. . . . . . . . . . . . . . . . . . . . . . . . 90
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109
SMOOTH APPROXIMATION OF THE QUANTILE FUNCTION DERIVATIVES
V.R. Sobol, R.O. Torishnyy
A NEW FORMULA ON THE CONJUGATE GRADIENT METHOD
FOR REMOVING IMPULSE NOISE IMAGES
B.A. Hassan, H.M. Sadiq
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123
Вестник ЮУрГУ. Серия ≪Математическое моделирование
и программирование≫ (Вестник ЮУрГУ ММП). 2022. Т. 15, № 4
Стр.3
Contents
Mathematical Modelling
APPLICATION OF RATIONAL INTERPOLATIONS FOR SOLVING
BOUNDARY VALUE PROBLEMS WITH SINGULARITIES
B.V. Semisalov
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
DIFFERENTIAL EQUATIONS OF ELLIPTIC TYPE WITH VARIABLE OPERATORS
AND HOMOGENEOUS ROBIN BOUNDARY VALUE CONDITION IN UMD SPACES
Rabah Haoua
TWO-STAGE PARAMETRIC IDENTIFICATION PROCEDURE
FOR A SATELLITE MOTION MODEL BASED ON ADAPTIVE
UNSCENTED KALMAN FILTERS
O.S. Chernikova, А.К. Grechkoseev, I.G. Danchenko
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
. . . . . . . . . . . . . . . . . . . . . . . . . . 32
Programming and Computer Software
INTERNAL BONE MARROW DOSIMETRY: THE EFFECT OF THE EXPOSURE
DUE TO 90Sr INCORPORATED IN THE ADJACENT BONE SEGMENTS
A.Yu. Volchkova, P.A. Sharagin, E.A. Shishkina
DECOMPOSITION OF THE PROBLEM IN THE NUMERICAL SOLUTION
OF DIFFERENTIAL-ALGEBRAIC SYSTEMS FOR CHEMICAL REACTIONS
WITH PARTIAL EQUILIBRIA
I.G. Donskoy
ALGORITHM FOR PROCESSING THE RESULTS OF CALCULATIONS
FOR DETERMINING THE BODY OF OPTIMAL PARAMETERS
IN THE WEIGHTED FINITE ELEMENT METHOD
V.A. Rukavishnikov, D.S. Seleznev, A.A. Guseinov
METHOD FOR ANALYZING THE STRUCTURE OF NOISY IMAGES
OF ADMINISTRATIVE DOCUMENTS
O.V. Slavin, E.L. Pliskin
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
. . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
Short Notes
NUMERICAL METHOD FOR SOLVING THE INVERSE PROBLEM
OF NON-STATIONARY FLOW OF VISCOELASTIC FLUID IN THE PIPE
A.R. Aliev, Kh.M. Gamzaev, A.A. Darwish, T.A. Nofal
METHODS FOR STUDYING THE STABILITY AND STABILIZATION
OF SOME SYSTEMS WITH LARGE DELAY
B.G. Grebenshchikov, A.B. Lozhnikov
PARALLEL DELIVERY OPERATIONS MODELLING
D.S. Zavalishchin, K.K. Vakolyuk
. . . . . . . . . . . . . . . . . . . . . . . . 90
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109
SMOOTH APPROXIMATION OF THE QUANTILE FUNCTION DERIVATIVES
V.R. Sobol, R.O. Torishnyy
A NEW FORMULA ON THE CONJUGATE GRADIENT METHOD
FOR REMOVING IMPULSE NOISE IMAGES
B.A. Hassan, H.M. Sadiq
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123
Bulletin of the South Ural State University. Ser. Mathematical Modelling, Programming
& Computer Software (Bulletin SUSU MMCS), 2022, vol. 15, no. 4
Стр.4