Advanced Computing in Industrial Mathematics: 12th Annual Meeting of the Bulgarian Section of SIAM December 20-22, 2017, Sofia, Bulgaria Revised Selected Papers

Description

This book gathers the peer-reviewed proceedings of the 12th Annual Meeting of the Bulgarian Section of the Society for Industrial and Applied Mathematics, BGSIAM’17, held in Sofia, Bulgaria, in December 2017. The general theme of BGSIAM’17 was industrial and applied mathematics, with a particular focus on: high-performance computing, numerical methods and algorithms, analysis of partial differential equations and their applications, mathematical biology, control and uncertain systems, stochastic models, molecular dynamics, neural networks, genetic algorithms, metaheuristics for optimization problems, generalized nets, and Big Data. Front Matter ....Pages i-x Method for Indoor Localization of Mobile Devices Based on AoA and Kalman Filtering (A. Alexandrov, V. Monov)....Pages 1-12 Cross-Validated Sequentially Constructed Multiple Regression (Slav Angelov, Eugenia Stoimenova)....Pages 13-22 How to Assess Multi-population Genetic Algorithms Performance Using Intuitionistic Fuzzy Logic (Maria Angelova, Tania Pencheva)....Pages 23-35 Perturbation Analysis of a Nonlinear Matrix Equation Arising in Tree-Like Stochastic Processes (Vera Angelova)....Pages 37-50 On Two-Way Generalized Nets (Krassimir Atanassov)....Pages 51-62 Variational Methods for Stable Time Discretization of First-Order Differential Equations (Simon Becher, Gunar Matthies, Dennis Wenzel)....Pages 63-75 Numerical Solutions of Ordinary Fractional Differential Equations with Singularities (Yuri Dimitrov, Ivan Dimov, Venelin Todorov)....Pages 77-91 Testing Performance and Scalability of the Pure MPI Model Versus Hybrid MPI-2/OpenMP Model on the Heterogeneous Supercomputer Avitohol (Vyara Koleva-Efremova)....Pages 93-105 Analyses and Boolean Operation of 2D Polygons (Georgi Evtimov, Stefka Fidanova)....Pages 107-118 Ant Colony Optimization Algorithm for Workforce Planning: Influence of the Algorithm Parameters (Stefka Fidanova, Olympia Roeva, Gabriel Luque)....Pages 119-128 Convergence of Homotopy Perturbation Method for Solving of Two-Dimensional Fuzzy Volterra Functional Integral Equations (Atanaska Georgieva, Artan Alidema)....Pages 129-145 Iterative Method for Numerical Solution of Two-Dimensional Nonlinear Urysohn Fuzzy Integral Equations (Atanaska Georgieva, Albena Pavlova, Svetoslav Enkov)....Pages 147-161 Comparison Analysis on Two Numerical Solvers for Fractional Laplace Problems (Stanislav Harizanov, Svetozar Margenov)....Pages 163-176 Initial Calibration of MEMS Accelerometers, Used for Measuring Inclination and Toolface (Tihomir B. Ivanov, Galina S. Lyutskanova-Zhekova)....Pages 177-188 Design and Implementation of Moving Average Calculations with Hardware FPGA Device (Vladimir Ivanov, Todor Stoilov)....Pages 189-197 On the Exact Traveling Wave Solutions of a Hyperbolic Reaction-Diffusion Equation (Ivan P. Jordanov, Nikolay K. Vitanov)....Pages 199-210 Generalized Nets: A New Approach to Model a Hashtag Linguistic Network on Twitter (Kristina G. Kapanova, Stefka Fidanova)....Pages 211-221 On the Group Analysis of Differential Equations on the Group SL(2, R) (Georgi Kostadinov, Hristo Melemov)....Pages 223-230 On Digital Watermarking for Audio Signals (Hristo Kostadinov, Nikolai L. Manev)....Pages 231-243 Numerical Evaluation of Fokas’ Transform Solution of the Heat Equation on the Half-Line (Mohamed Lachaab, Peter R. Turner, Athanassios S. Fokas)....Pages 245-256 Molecular Dynamics Study of the Solution Behaviour of Antimicrobial Peptide Indolicidin (Rositsa Marinova, Peicho Petkov, Nevena Ilieva, Elena Lilkova, Leandar Litov)....Pages 257-265 A Functional Expansion and a New Set of Rapidly Convergent Series Involving Zeta Values (Lubomir Markov)....Pages 267-275 Simulated Annealing Method for Metal Nanoparticle Structures Optimization (Vladimir Myasnichenko, Leoneed Kirilov, Rossen Mikhov, Stefka Fidanova, Nikolay Sdobnyakov)....Pages 277-289 Orientation Selectivity Tuning of a Spike Timing Neural Network Model of the First Layer of the Human Visual Cortex (Simona Nedelcheva, Petia Koprinkova-Hristova)....Pages 291-303 Gaussian Model Deformation of an Abdominal Aortic Aneurysm Caused by the Interaction between the Wall Elasticity and the Average Blood Pressure (N. Nikolov, S. Tabakova, St. Radev)....Pages 305-316 EM Estimation of the Parameters in Latent Mallows’ Models (Nikolay I. Nikolov, Eugenia Stoimenova)....Pages 317-325 Evolution Equation for Propagation of Blood Pressure Waves in an Artery with an Aneurysm (Elena V. Nikolova)....Pages 327-339 The Derivatives of Polynomials Represented as a Linear Combination of Finite Differences with Step One (Inna Nikolova)....Pages 341-354 Investigation of As-cast Light Alloys by Selected Homogenization Techniques with Microstructure Effects (Ludmila Parashkevova, Pedro Egizabal)....Pages 355-368 Performance Analysis of Intel Xeon Phi MICs and Intel Xeon CPUs for Solving Dense Systems of Linear Algebraic Equations: Case Study of Boundary Element Method for Flow Around Airfoils (D. Slavchev, S. Margenov)....Pages 369-381 Memristor CNNs with Hysteresis (Angela Slavova, Ronald Tetzlaff)....Pages 383-394 Change Point Analysis as a Tool to Detect Abrupt Cosmic Ray Muons Variations (Assen Tchorbadjieff, Ivo Angelov)....Pages 395-406 Performance Analysis of Effective Methods for Solving Band Matrix SLAEs After Parabolic Nonlinear PDEs (Milena Veneva, Alexander Ayriyan)....Pages 407-419 Statistical Characteristics of a Flow of Substance in a Channel of Network that Contains Three Arms (Nikolay K. Vitanov, Roumen Borisov)....Pages 421-432 Hermitian and Pseudo-Hermitian Reduction of the GMV Auxiliary System. Spectral Properties of the Recursion Operators (A. B. Yanovski, T. I. Valchev)....Pages 433-446