Table Of ContentStudies in Computational Intelligence 681
Krassimir Georgiev
Michail Todorov
Ivan Georgiev Editors
Advanced Computing
in Industrial
Mathematics
Revised Selected Papers of the 10th
Annual Meeting of the Bulgarian
Section of SIAM December 21–22, 2015,
Sofia, Bulgaria
Studies in Computational Intelligence
Volume 681
Series editor
Janusz Kacprzyk, Polish Academy of Sciences, Warsaw, Poland
e-mail: [email protected]
About this Series
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Krassimir Georgiev Michail Todorov
(cid:129)
Ivan Georgiev
Editors
Advanced Computing
in Industrial Mathematics
Revised Selected Papers of the 10th Annual
Meeting of the Bulgarian Section of SIAM
– fi
December 21 22, 2015, So a, Bulgaria
123
Editors
Krassimir Georgiev IvanGeorgiev
InstituteofInformationandCommunication InstituteofInformationandCommunication
Technologies Technologies, Institute of Mathematics
BulgarianAcademy of Sciences andInformatics
Sofia BulgarianAcademy of Sciences
Bulgaria Sofia
Bulgaria
Michail Todorov
Faculty of AppliedMathematics
andInformatics
Technical University of Sofia
Sofia
Bulgaria
ISSN 1860-949X ISSN 1860-9503 (electronic)
Studies in Computational Intelligence
ISBN978-3-319-49543-9 ISBN978-3-319-49544-6 (eBook)
DOI 10.1007/978-3-319-49544-6
LibraryofCongressControlNumber:2016958457
©SpringerInternationalPublishingAG2017
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Preface
Thisbookcontainspeer-reviewedpaperspresentedduringthe10thAnnualMeeting
of the Bulgarian Section of SIAM (BGSIAM), December 21–22, 2015, Sofia,
Bulgaria. The conference was hosted by the Institute of Mathematics and
Informatics of the Bulgarian Academy of Science (http://www.math.bas.bg/
IMIdocs/BGSIAM/).
The conference’s topics of interest were as follows:
(cid:129) Industrial mathematics;
(cid:129) Scientific computing;
(cid:129) Numerical methods and algorithms;
(cid:129) Hierarchical and multilevel methods;
(cid:129) High performance computing and applications in the industrial mathematics;
(cid:129) Partial differential equations and their applications;
(cid:129) Control and uncertain systems;
(cid:129) Monte Carlo and quasi-Monte Carlo methods;
(cid:129) Neural networks, metaheuristics, genetic algorithms;
(cid:129) Financial mathematics.
The list of the plenary invited speakers includes several internationally recog-
nized scienists: Tzanio Kolev (Lawrence Livermore National Laboratory, USA);
Johannes Kraus (Universität Duisburg-Essen, Germany); Maya Neytcheva
(Uppsala University, Sweden) and Vladimir Veliov (Vienna University of
Technology, Austria).
Thefurtherdevelopmentofthesocietyisindeepconnectionwiththesuccessful
solution of very challenging and extremely difficult real-life problems.
Mathematicians (both theoretical and applied), computer scientists, engineers,
physicians, chemists, biologists, etc. are developing and using complicated and
robust mathematical and computer models in the attempts to resolve successfully
such kind of problems which are appearing very often.
The Industrial Mathematics is one of the most prominent examples of an
interdisciplinary area involving mathematics, computer science, scientific compu-
tations, engineering, physics, chemistry, medicine etc.
v
vi Preface
The tools of Industrial Mathematics are usually based on mathematical models
and corresponding computer codes that are used to perform virtual experiments to
obtain new data or to better understand the existing experimental results.
The modern fast supercomputers are one of the main tools to find accurate
enough and fast enough solutions of many of the nowadays large and very com-
plicateproblems.However,unfortunately,notinallcasesandnotforallimportant
problems.ArthurJaffepredictedin1984(A.Jaffe,“Orderingtheuniverse:Therole
ofmathematics”,SIAMReview.,Vol.26(1984),pp.475–488)Althoughthefastest
computers can execute millions of operations in one second, they are always too
slow.Thismayseemaparadox,buttheheartofthematteris:thebiggerandbetter
computers become, the larger are the problems scientists and engineers want to
solve.
We,theeditorsofthisissue,wouldliketothankalltherefereesofthepresented
papers (also the referees of the not published papers) for preparing in time and for
their professional reviews and for the constructive criticism which resulted in
considerable improvements of the quality of the accepted papers.
Sofia, Bulgaria Krassimir Georgiev
Michail Todorov
Ivan Georgiev
Contents
Factorizations in Special Relativity and Quantum
Scattering on the Line .. .... ..... .... .... .... .... .... ..... .... 1
Danail S. Brezov, Clementina D. Mladenova and Ivaïlo M. Mladenov
Decision Support Tool in the Project LANDSLIDE.... .... ..... .... 15
Nina Dobrinkova and Pierluigi Maponi
Generalized Nets as a Tool for Modelling of Railway Networks... .... 23
Stefka Fidanova, Krassimir Atanassov and Ivan Dimov
On Nonlocal Models of Kulish-Sklyanin Type and Generalized
Fourier Transforms .... .... ..... .... .... .... .... .... ..... .... 37
V.S. Gerdjikov
Standing Waves in Systems of Perturbed Sine-Gordon Equations . .... 53
Radoslava Hristova and Ivan Hristov
Stability Analysis of an Inflation of Internally-Pressurized
Hyperelastic Spherical Membranes Connected to Aneurysm
Progression ... .... .... .... ..... .... .... .... .... .... ..... .... 61
Tihomir B. Ivanov and Elena V. Nikolova
New Bounds for Probability of Error of Coded and Uncoded
TQAM in AWGN Channel... ..... .... .... .... .... .... ..... .... 75
Hristo Kostadinov, Liliya Kraleva and Nikolai L. Manev
Construction of Multistage Scenario Tree for Insurance Activity.. .... 87
Tsvetanka Kovacheva
Microphone Array for Non-contact Monitoring
of Rolling Bearings .... .... ..... .... .... .... .... .... ..... .... 103
Volodymyr Kudriashov, Vladislav Ivanov, Kiril Alexiev
and Petia Koprinkova-Hristova
vii
viii Contents
Geothermal Effects for BOD Removal in Horizontal Subsurface
Flow Constructed Wetlands: A Numerical Approach .. .... ..... .... 115
Konstantinos Liolios, Vassilios Tsihrintzis, Krassimir Georgiev
and Ivan Georgiev
Further Results of Mean-Value Type in C and R. .... .... ..... .... 127
Lubomir Markov
Computer Aided Modeling of Ultrasonic Surface Waves
Propagation in Materials with Gradient of Properties.. .... ..... .... 135
Todor Partalin and Yonka Ivanova
InterCriteria Analysis of Simple Genetic Algorithms Performance. .... 147
Tania Pencheva and Maria Angelova
Interval Algebraic Approach to Equilibrium Equations
in Mechanics.. .... .... .... ..... .... .... .... .... .... ..... .... 161
Evgenija D. Popova
InterCriteria Analysis of Relations Between Model Parameters
Estimates and ACO Performance .. .... .... .... .... .... ..... .... 175
Olympia Roeva and Stefka Fidanova
Newtonian and Non-Newtonian Pulsatile Blood Flow in Arteries
with Model Aneurysms.. .... ..... .... .... .... .... .... ..... .... 187
S. Tabakova, P. Raynov, N. Nikolov and St. Radev
Reduced Rule-Base Fuzzy-Neural Networks.. .... .... .... ..... .... 199
Margarita Terziyska and Yancho Todorov
Accuracy of Linear Craniometric Measurements Obtained
from Laser Scanning Created 3D Models of Dry Skulls .... ..... .... 215
Diana Toneva, Silviya Nikolova, Ivan Georgiev
and Assen Tchorbadjieff
Equivalence of Models of Freeze-Drying. .... .... .... .... ..... .... 231
Milena Veneva and William Lee
Comparing Bézier Curves and Surfaces for Coincidence.... ..... .... 239
Krassimira Vlachkova
Spectral Theory of slð3;CÞ Auxiliary Linear Problem
with Z2(cid:2)Z2(cid:2)Z2 Reduction of Mikhailov Type.. .... .... ..... .... 251
A.B. Yanovski
Factorizations in Special Relativity
and Quantum Scattering on the Line
DanailS.Brezov,ClementinaD.MladenovaandIvaïloM.Mladenov
Abstract We extend an old result due to Piña on three-dimensional rotations to
thehyperboliccaseandutilizeittoconstructaspecificfactorizationschemeforthe
isometriesinR2,1.AlthoughsomewhatrestrictivecomparedtoEuler-typedecompo-
sitions,oursettingallowsforgimballockcontrolanddecouplesthedependenceon
thecompoundtransformation’sinvariantaxisandangle(rapidity),whichprovides
conveniencefromboththeoreticalandpracticalpointofview.Insomeparticularly
symmetriccasesthesolutionsareobtainedinasimplewayfromthenaturalparame-
terizationofthePoincarédisk.Apartfromtheobviousrelationto2+1dimensional
relativity,wediscussthisapproachinthecontextofthemonodromymatrixdescrip-
tionofquantummechanicalscattering.InthecaseofR3,1isometries,ourconstruction
isshowntogeneralizenaturallythewell-knownWignerdecomposition.
1 Preliminaries
Totheknowledgeoftheauthors,Piña[1]wasthefirsttosuggestanexpressionfor
thegenericrotationthatlinkstwoarbitrarilygivenpointsontheunitsphereR :u→
v∈S2.AdaptinghispreciseargumentfortheproperLorentzgroupSO+(2,1),we
obtain the family of pseudo-rotations Pλ:u→v, λ∈RP1 for two given vectors
u,v∈R2,1 with equal norms. Namely, we set u2 =v2 =ε, where the square is
obtainedwithrespecttotheflatLorentzmetricη=diag(1,1,−1)andε=±1inthe
D.S.Brezov
DepartmentofMathematics,UniversityofArchitectureCivilEngineering
andGeodesy,1HristoSmirnenskiBlvd.,1046Sofia,Bulgaria
e-mail:[email protected]
C.D.Mladenova
InstituteofMechanics,BulgarianAcademyofSciences,
Acad.G.BonchevStr.,Bl.4,1113Sofia,Bulgaria
e-mail:[email protected]
B
I.M.Mladenov ( )
InstituteofBiophysics,BulgarianAcademyofSciences,
Acad.G.BonchevStr.,Bl.21,1113Sofia,Bulgaria
e-mail:[email protected]
©SpringerInternationalPublishingAG2017 1
K.Georgievetal.(eds.),AdvancedComputinginIndustrialMathematics,
StudiesinComputationalIntelligence681,DOI10.1007/978-3-319-49544-6_1
