Applications of Mathematics in Engineering and Economics '34: Proceedings of the 34th Conference (AMEE '08), Sozopol, Bulgaria, 8-14 June 2008

by Todorov, Michail D.

• ISBN13: 9780735405981
• ISBN10: 0735405980
• Format: Hardcover
• Copyright: 2008-12-12
• Publisher: Amer Inst of Physics

Summary

All papers have been peer-reviewed. The main goal of this series of conferences is to bring together experts and young talented scientists from Bulgaria and abroad to discuss modern trends and to ensure exchange of views in various applications of mathematics in engineering, physics, economics, biology, etc. Keeping the main topics of the previous AMEE conferences as well as the big success of AMEE'07, this year's 34th issue was again subject to the motto "Nonlinear phenomena - mathematical theory and environmental reality." The organizing Committee encouraged the participation of senior and postgraduate students and organized a separate youth session. The invited speakers organized two special sessions. Within the 34th Conference AMEE'08 a "Round Table - Presentations and Discussion - on Mathematics Education in Bachelor Degree Programs and in Master Degree Programs," Conference Tutorial "Introduction to Software Agents and Their Applications," and Workshop on Grid and Scientific Engineering Application (GRID&SEA) took place. The publishing, promotion and distribution the proceedings among the mathematical and related societies taking an interest in its topics is an integral part of the Conference.

Table of Contents

Preface	p. xi
International Program Committee	p. xiii
List of Participants	p. xv
Photographs	p. xxvii
Keynote Lectures
Space as Material Continuum and the Cosmological Redshift of Spectral Lines	p. 3
Dilute Suspensions near Walls	p. 15
Compatible Discretizations for Continuous Dynamical Systems	p. 28
Condition and Error Estimates in Numerical Matrix Computations	p. 38
Electromagnetics: From Covariance to Cloaking	p. 48
Exact Solutions to Nonlinear Equations and Systems of Equations of General Form in Mathematical Physics	p. 64
Fractional Differential and Integral Equations of Riemann-Liouville versus Caputo	p. 87
Partial Control of a System with Fractal Basin Boundaries	p. 94
Special Session
Analytical and Computational Techniques for Nonlinear Systems and Processes
Numerical Investigation of the Nonlinear Schröet;dinger Equation with Saturation	p. 105
Analytical Model of the Temperature in UV Cu+ CuBr Laser	p. 114
On Beam-like Functions with Radial Symmetry	p. 122
Modelling Hydrodynamic Stability in Electrochemical Cells	p. 131
Use of Particular Analytical Solutions for Calculations of Nonlinear PDEs	p. 145
On Numerical Simulation of Propagation of Solitons in Microstructured Media	p. 155
On the Stability of a Free Viscous Film	p. 166
Prediction of Properties of Nonlinear Processes	p. 174
Special Session
Teaching Environments for Mathematics Courses
Graphing Parametric Curves Using Spreadsheets	p. 187
Promoting Creative Engagement with SpicyNodes	p. 196
SpicyNodes Radial Map Engine	p. 209
Construction of Mathematical Problems by Students Themselves	p. 221
Computer-Supported Classes in Mathematics for Engineering Students	p. 229
Numerical Methods in Mathematical Modeling
Modeling and Applications of the Cylindrical Couette Flow of a Rarefied Gas	p. 239
Model and H&infinite; Controller for a Distributed Parameter System	p. 244
Increasing of the Accuracy in the Computation of the Concentrations in Diffusion Models with Localized Chemical Reactions	p. 253
A Two-Grid Algorithm for Implementation of Fully Conservative Difference Schemes of the Gas Dynamics Equations	p. 262
Validation of a Three-Dimensional Model of the Ocean Circulation	p. 271
Procedure for Deconvolution of Time-Dependent Signals with Sinusoidal Shape	p. 279
Two-Grid Interpolation Algorithms for Difference Schemes of Exponential Type for Semilinear Diffusion Convection-Dominated Equations	p. 284
Efficient Modified Filon-Type Quadrature for Highly Oscillatory Bessel Transformations	p. 293
Analysis and Applications
Comparison of the Two-Grid Method on Different Meshes for Singularly Perturbed Semilinear Problems	p. 305
Quantity Stickiness versus Stackelberg Leadership	p. 313
Welfare Effects of Entry into International Markets with Licensing	p. 321
A Localization of the Zeros of Some Holomorphic Functions	p. 328
Differential Equations
Approximate Analytic Solutions of the Lotka-Volterra System	p. 333
Global Solutions to the L2-Critical Schröet;dinger-Poisson System	p. 341
On Stabilization of Nonautonomous Nonlinear Systems	p. 352
Oscillation Criteria in First Order Neutral Delay Impulsive Differential Equations with Constant Coefficients	p. 361
Space-like Bézier Curves in the Three-Dimensional Minkowski Space	p. 373
Higher Order Convergence for Nonlinear Parabolic Integro-Differential Equations by Generalized Quasilinearization	p. 381
Galerkin's Method and Distributions of Zeros of Some Equations from the Mechanics I	p. 390
On the Maximum Number of Periodical Solutions of a Class of Autonomous Systems	p. 403
Stability of the Solutions of One Class of Aerohydroelasticity Problems	p. 414
Some Classes of the Solutions of Aerohydromechanic Equations	p. 427
On the Solutions of Stiff Ordinary Differential Equations	p. 442
Operations Research and Statistics
Multi-Criterial Decision Making for Selection and Assignment of Sportsmen in Team-Games	p. 451
Statistical Characteristics of Single Sort of Grape Bulgarian Wines	p. 458
Realization of Ridge Regressionin MATLAB	p. 467
On the Application of the Multidimensional Statistical Techniques for Exploring Copper Bromide Vapor Laser	p. 475
Bayesian Updating of Demand and Backorder Distributions in a Newsvendor Inventory Problem	p. 483
Ontological Model of Business Process Management Systems	p. 491
Software Innovations and Algebraic Methods
Some Applications of Matrix - and Computer Algebra in Relation Theory	p. 503
Hybrid Inverter Analysis Using Mathematical Software	p. 510
Solving Max-Min Relational Equations. Software and Applications	p. 516
Workshop on Grid And Scientific Engineering Application (Grid And Sea)
Software Agents in ADAJ: Load Balancing in a Distributed Environment	p. 527
Security in Service-Oriented Grid	p. 541
Variance Reduction MCMs with Application in Environmental Studies: Sensitivity Analysis	p. 549
Usage of the UNICORE Grid Technology in Scientific and Economic Domains	p. 559
Author Index	p. 567
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