Table Of ContentStudies in Computational Intelligence 961
Ivan Georgiev
Hristo Kostadinov
Elena Lilkova Editors
Advanced
Computing
in Industrial
Mathematics
13th Annual Meeting of the Bulgarian
Section of SIAM, December 18–20, 2018,
Sofia, Bulgaria, Revised Selected Papers
Studies in Computational Intelligence
Volume 961
Series Editor
Janusz Kacprzyk, Polish Academy of Sciences, Warsaw, Poland
The series “Studies in Computational Intelligence” (SCI) publishes new develop-
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More information about this series at http://www.springer.com/series/7092
Ivan Georgiev Hristo Kostadinov
(cid:129) (cid:129)
Elena Lilkova
Editors
Advanced Computing
in Industrial Mathematics
13th Annual Meeting of the Bulgarian
–
Section of SIAM, December 18 20, 2018,
fi
So a, Bulgaria, Revised Selected Papers
123
Editors
IvanGeorgiev Hristo Kostadinov
InstituteofInformationandCommunication Institute of Mathematics andInformatics
Technologies andInstitute of Mathematics BulgarianAcademy of Science
andInformatics Sofia,Bulgaria
BulgarianAcademy of Sciences
Sofia,Bulgaria
ElenaLilkova
Institute of Information
andCommunication Technologies
BulgarianAcademy of Science
Sofia,Bulgaria
ISSN 1860-949X ISSN 1860-9503 (electronic)
Studies in Computational Intelligence
ISBN978-3-030-71615-8 ISBN978-3-030-71616-5 (eBook)
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Preface
The13thAnnualMeetingoftheBulgarianSectionoftheSocietyforIndustrialand
Applied Mathematics (BGSIAM) was held in Sofia, December 18–20, 2018. The
sectionwasformedin2007withthepurposetopromoteandsupporttheapplication
of mathematics to science, engineering, and technology in Bulgaria.
ThegoalsofBGSIAMfollowandcreativelydevelopthegeneralgoalsofSIAM
as follows:
(cid:129) To advance the application of mathematics and computational science to
engineering, industry, science, and society;
(cid:129) To promote research that will lead to effective new mathematical and compu-
tationalmethodsandtechniquesforscience,engineering,industry,andsociety;
(cid:129) To provide media for the exchange of information and ideas among mathe-
maticians, engineers, and scientists.
DuringtheBGSIAM’18conference,awiderangeofproblemsconcerningrecent
achievementsinthefieldofindustrialandappliedmathematicswerepresentedand
discussed.Themeetingprovidedaforumforexchangeofideasbetweenscientists,
whodevelopandstudymathematicalmethodsandalgorithms,andresearchers,who
apply them for solving real-life problems.
Among the topics of interest are mathematical physics, numerical analysis,
high-performance computing, optimization and control, mathematical biology
stochastic modeling, machine learning, digitization and imaging, big data, and
advanced computing in environmental, biomedical, and engineering applications.
The invited speakers were:
(cid:129) Owe Axelsson (Czech Academy of Sciences), An inner-product free iteration
methodforanequationofmotionandabound-constrainedoptimalcontrolPDE
problem
(cid:129) MauroBallicchia(PolytechnicUniversityofMarche,Italy),Recentadvancesin
the Wigner signed particles: theory and applications
(cid:129) Vesselin Iossifov (University of Applied Sciences Berlin, Germany),
Programming Techniques for Energy-efficient Software
v
vi Preface
(cid:129) RaytchoLazarov(TexasA&MUniversity,USA),Recentadvancesinnumerical
methods for fractional differential equations with non-smooth data: a concise
overview
(cid:129) Blagovest Sendov (Bulgarian Academy of Sciences), Algorithmic problems in
the geometry of polynomials
We would like to thank all the referees for the constructive remarks and criti-
cism,whichfurtheredconsiderableimprovementsofthequalityofthepapersinthis
book.
Contents
Design of a Multi-objective Optimization Model for Wireless
Sensor Networks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Alexander Alexandrov and Vladimir Monov
Cross-Validated Sequentially Constructed Multiple Regression
with Centered Predictors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
Slav Angelov and Eugenia Stoimenova
Non-local Nonlinear Perturbation Analysis for a Nonlinear Matrix
Equation Arising in Tree-Like Stochastic Processes. . . . . . . . . . . . . . . . 16
Vera Angelova
One Parameter Family of Elliptic Curves and the Equation
x4þy4þkx2y2 ¼z2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
Stoyan Apostolov, Miroslav Stoenchev, and Venelin Todorov
An Inner Product Free Solution Method for an Equation of Motion
with Indefinite Matrices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37
Owe Axelsson
Simulation Model for Investigation of the Behaviour of an Artificial
Immune Algorithm for Generation of S-Boxes with Good
Cryptographic Properties. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48
Tsonka Baicheva, Violeta Andreeva, and Nikolay Nikolov
Self-consistent Monte Carlo Solution of Wigner and Poisson
Equations Using an Efficient Multigrid Approach . . . . . . . . . . . . . . . . . 60
Majid Benam, Maciej Wołoszyn, and Siegfried Selberherr
Modelled Versus Satellite Retrieved Estimation of the Direct Normal
Irradiance and the Sunshine Duration over Bulgaria. . . . . . . . . . . . . . . 68
Hristo Chervenkov and Kiril Slavov
vii
viii Contents
Numerical Identification of the Time Dependent Vertical Diffusion
Coefficient in a Model of Air Pollution. . . . . . . . . . . . . . . . . . . . . . . . . . 79
Ivan T. Dimov, Juri D. Kandilarov, and Lubin G. Vulkov
Generalized Net Model for Flying Ant Colony Optimization . . . . . . . . . 90
Stefka Fidanova and Krassimir Atanassov
Numerical Determination of Time-Dependent Implied Volatility
by a Point Observation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99
Slavi G. Georgiev and Lubin G. Vulkov
Homotopy Analysis Method to Solve Volterra-Fredholm Fuzzy
Integral Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110
Atanaska Georgieva, Albena Pavlova, and Lozanka Trenkova
Spectral Fractional Laplacian with Inhomogeneous Dirichlet Data:
Questions, Problems, Solutions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123
S. Harizanov, S. Margenov, and N. Popivanov
Spike Timing Neural Model of Eye Movement Motor Response
with Reinforcement Learning. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139
Petia Koprinkova-Hristova and Nadejda Bocheva
Programming Techniques for Energy-Efficient Software . . . . . . . . . . . . 154
Vesselin Iossifov
Modelling Human Biometeorological Conditions Using
Meteorological Data from Reanalysis and Objective
Analysis—Preliminary Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 170
Vladimir Ivanov and Hristo Chervenkov
The Braided Group of a Square-Free Solution of the Yang-Baxter
Equation and Its Group Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 182
Tatiana Gateva-Ivanova
Exploring Applicability of the InterCriteria Analysis to Evaluate
the Performance of MOE and GOLD Scoring Functions. . . . . . . . . . . . 198
Dessislava Jereva, Tania Pencheva, Ivanka Tsakovska, Petko Alov,
and Ilza Pajeva
Multiobjective Approach for Solving Engineering Robust
Design Problems. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 209
Leoneed Kirilov and Petar Georgiev
Iterative Implicit Schemes for Compaction-Driven Darcy Flow
of Magma. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 222
Miglena N. Koleva and Lubin G. Vulkov
Finite Time Blow up of the Solutions to Double Dispersive
Equations with Linear Restoring Force and High Energy . . . . . . . . . . . 233
N. Kolkovska, M. Dimova, and N. Kutev
Contents ix
Coupled Thermo-Hydro-Mechanical Finite Element Simulation
of Loess Slope Under Atmospheric Boundary Conditions . . . . . . . . . . . 244
Lingyun Li, Maria Datcheva, and Wiebke Baille
Molecular Dynamics Simulations of His -FLAG-hIFNc
6
Fusion Glycoproteins . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 256
E. Lilkova, N. Ilieva, P. Petkov, E. Krachmarova, G. Nacheva,
and L. Litov
Several Results Concerning the Barnes G-function, a Cosecant
Integral, and Some Other Special Functions . . . . . . . . . . . . . . . . . . . . . 268
Lubomir Markov
Influence of the Temperature on Simulated Annealing Method
for Metal Nanoparticle Structures Optimization . . . . . . . . . . . . . . . . . . 278
Rossen Mikhov, Vladimir Myasnichenko, Stefka Fidanova,
Leoneed Kirilov, and Nickolay Sdobnyakov
Blood Flow Instabilities Related to Elasticity and Asymmetry
of an Abdominal Aorta Aneurysm. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 291
N. Nikolov, S. Tabakova, and St. Radev
Rank Data Clustering Based on Lee Distance . . . . . . . . . . . . . . . . . . . . 303
Nikolay I. Nikolov and Eugenia Stoimenova
Analysis of Swing Oscillatory Motion. . . . . . . . . . . . . . . . . . . . . . . . . . . 313
Svetoslav G. Nikolov, Vassil M. Vassilev, and Daniela T. Zaharieva
Non-linear Waves of Interacting Populations
with Density-Dependent Diffusion. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 324
Elena V. Nikolova, Denislav Z. Serbezov, Ivan P. Jordanov,
and Nikolay K. Vitanov
Performance Analysis of Hierarchical Semi-separable Compression
Solver for Fractional Diffusion Problems . . . . . . . . . . . . . . . . . . . . . . . . 333
D. Slavchev
On the Spectral Properties of Lax Operators Related to BD.I
Symmetric Spaces. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 345
Alina Streche-Pauna, Aurelia Daniela Florian, and Vladimir S. Gerdjikov
Mechanical Properties Assessments for Materials of High Porosity
and Light Alloys with Predominant Embedded Phases . . . . . . . . . . . . . 359
Ludmila Parashkevova, Ludmil Drenchev, and Pedro Egizabal
Symmetries and Conservation Laws of a System of Timoshenko
Beam Type Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 372
Svilen I. Popov and Vassil M. Vassilev
