Studies 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 The series “Studies in Computational Intelligence” (SCI) publishes new develop- mentsandadvancesinthevariousareasofcomputationalintelligence—quicklyand with a high quality. The intent is to cover the theory, applications, and design methods of computational intelligence, as embedded in the fields of engineering, computer science, physics and life sciences, as well as the methodologies behind them. The series contains monographs, lecture notes and edited volumes in computational intelligence spanning the areas of neural networks, connectionist systems, genetic algorithms, evolutionary computation, artificial intelligence, cellular automata, self-organizing systems, soft computing, fuzzy systems, and hybrid intelligent systems. Of particular value to both the contributors and the readership are the short publication timeframe and the worldwide distribution, which enable both wide and rapid dissemination of research output. More information about this series at http://www.springer.com/series/7092 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 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpart of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission orinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilar methodologynowknownorhereafterdeveloped. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfrom therelevantprotectivelawsandregulationsandthereforefreeforgeneraluse. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authorsortheeditorsgiveawarranty,expressorimplied,withrespecttothematerialcontainedhereinor foranyerrorsoromissionsthatmayhavebeenmade. Printedonacid-freepaper ThisSpringerimprintispublishedbySpringerNature TheregisteredcompanyisSpringerInternationalPublishingAG Theregisteredcompanyaddressis:Gewerbestrasse11,6330Cham,Switzerland 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