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., проф. Заляпин В.И.,
д.ф.-м.н., доц. Замышляева А.А.,
д.ф.-м.н., доц. Келлер А.В.,
д.ф.-м.н., доц. 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.ф.-м.н. Бржезинская М.М.,
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., доц. Корпусов М.О.,
д.т.н., чл.-кор. РАН Новиков Д.А.
(председатель),
д.т.н., с.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, 2021
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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
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
M.M. Brzhezinskaya, Helmholtz-Zentrum Berlin for Materials and Energy, Berlin, Germany
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
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Contents
Survey Articles
ON EVOLUTIONARY INVERSE PROBLEMS FOR MATHEMATICAL MODELS
OF HEAT AND MASS TRANSFER
S.G. Pyatkov
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
Mathematical Modelling
ANALYTICAL STUDY OF THE MATHEMATICAL MODEL OF WAVE PROPAGATION
IN SHALLOW WATER BY THE GALERKIN METHOD
E.V. Bychkov
STOCHASTIC MODELLING OF CLOSED CURVES IN THE PLANE
M.V. Kurkina, V.V. Slavsky
ON THE FORCE ACTING ON PARTICLES
IN AN INHOMOGENEOUSLY HEATED POLARIZING LIQUID
S.I. Martynov
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
ON THE POMPEIU INTEGRAL AND ITS GENERALIZATIONS
A.P. Soldatov
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60
ON A LIMIT PASS FROM TWO-POINT TO ONE-POINT INTERACTION
IN A ONE DIMENSIONAL QUANTUM MECHANICAL PROBLEM GIVING RISE
TO A SPONTANEOUS SYMMETRY BREAKING
A. Restuccia, A. Sotomayor, V.A. Strauss
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
Programming and Computer Software
ADAPTATION OF KUROPATENKO METHOD FOR CALCULATING SHOCK WAVES
IN EULER COORDINATES
P.E. Belyaev, I.R. Mekeeva, E.E. Pigasov, D.A. Mastyuk
ALGORITHM OF RECONSTRUCTION OF THREE-DIMENSIONAL IMAGES
IN X-RAY COMPUTED TOMOGRAPHY WITH A CONE BEAM
E. Simonov, A.V. Prokhorov
. . . . . . . . . . . . . . . . . . . . . . . . 91
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104
Short Notes
MODELLING THE DYNAMICS OF SHOCK PULSE IN THE TUBE WITH INNER
LAYER OF AQUEOUS FOAM
R.Kh. Bolotnova, E.F. Gainullina
Mathematical Activity
To 30th Anniversary of the Seminar on Sobolev Type Equations
A.V. Keller
Personalia
Sergey Grigorievich Pyatkov (on 65th birthday)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 118
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131
Bulletin of the South Ural State University. Ser. Mathematical Modelling, Programming
& Computer Software (Bulletin SUSU MMCS), 2021, vol. 14, no. 1
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