Application of Mathematics in Technical and Natural Sciences: 1st International Conference-AMiTaNS-09: Sozopol, Bulgaria, 22-27 June 2009

by Todorov, Michail D.; Christov, Christo I.

• ISBN13: 9780735407527
• ISBN10: 0735407525
• Format: Paperback
• Copyright: 2009-12-01
• Publisher: Amer Inst of Physics

Summary

The main goal of this new series of conferences is to bring together experts and prominent scientists in order to ensure the exchange of views and experience, as well as to discuss the modern trends in application of mathematics in various fields of engineering, physics, chemistry, economics, biology, etc. The scientific program of the 1st edition of the conference included more than 80 presentations. A number of world renown specialists delivered plenary and key lectures. In addition to the regular session of invited and submitted talks, four special sessions were held as part of the AMiTaNS’09 program. The participation of graduate students was strongly encouraged. During the reviewing process, fruitful discussions occurred between the contributors and anonymous reviewers, which helped the authors improve their contributions essentially. The result of this lively interaction is presented in this volume. The editors hope that publishing these proceedings will serve to promote the application of mathematics in various fields. A wide spectrum of professionals will find something interesting in the collection of papers of 1st AMiTaNS’09.

Table of Contents

Preface	p. ix
Program Committee	p. xi
List of Participants	p. xiii
Photographs	p. xxiii
Plenary Lectures
Particles in Creeping Flow Near a Slip Wall	p. 3
On Reductions of Soliton Solutions of Multicomponent NLS Models and Spinor Bose-Einstein Condensates	p. 15
Toward Absolutely Stable Finite Difference Scheme with Positivity Condition	p. 28
Keynote Lectures
Fredholm Analysis for a Wave Diffraction Problem with Higher Order Boundary Conditions on a Union of Strips	p. 49
Numerical Investigation of Josephson Junction Structures	p. 57
Group-Phase Velocity Difference and THz Oscillation of the Nonlinear Refractive Index in Air: Particle-Like Solutions	p. 69
Multiresolution Scheme for Incompressible Model of Three-phase Flow	p. 81
Determining a Modern Energy Density Functional for Nuclei Using the Simulating Annealing Method	p. 93
Field Theoretical Approach to Dynamics of Plastic Deformation and Fracture	p. 108
Special Session
Numerical Schemes for Convective-Advective Problems
Characteristic Line Scheme for Hierarchical Size Structured Model with Nonlinear Growth, Mortality and Reproduction Rates	p. 123
Cubic Spline Approximation of the Coefficient in Euler-Bernoulli Equation from Over-Posed Data	p. 133
Numerical Stability Analysis of the Discretized Advection-Diffusion Equation on Nonuniform Grids	p. 142
Special Session
Computational and Mathematical Approaches in Theoretical Physics
Numerical Study of Linear Stability of Scalar-Tensor Born-Infeld Black Holes	p. 159
Charged Black Holes with Massive Scalar Field	p. 166
Mathematical Modeling of Soliton-like Solutions in the Scalar-Tensor Theories of Gravity	p. 173
Special Session
Grid Computing and Applications in Physics and Mechanics (GridCAPM)
Salute Grid Application Using Message-Oriented Middleware	p. 183
User-Defined Services in G-Lite	p. 192
Modeling of Cylindrical Couette Flow of Rarefied Gas. The Case of Rotating Outer Cylinder	p. 200
Computational Electronics on GRID: A Mixed Mode Carrier Transport Model	p. 206
Continuum Mechanics
Galerkin Spectral Method for the 2D Solitary Waves of Boussinesq Paradigm Equation	p. 217
On the Inertial Force Experienced by a Solid Body Undergoing Rotation about Two Axes	p. 226
Two-Gradient Convection in a Vertical Slot with Maxwell-Cattaneo Heat Conduction	p. 231
Freezing of a Suspended Supercooled Droplet with a Heat Transfer Mixed Condition on its Outer Surface	p. 240
Asymptotic Analysis in Dynamical Heat Transfer Problems in Heterogeneous Periodic Media	p. 248
Applied Analysis
Oscillatory Properties of First Order Neutral Delay Impulsive Differential Equations with Constant Coefficients	p. 259
The Dirichlet Problem on Wave Propagation in a 2D Exterior Cracked Domain with Compatibility Conditions at the Tips of the Cracks	p. 271
Higher Order Convergence via Generalized Quasilinearization Method for Impulsive Differential Equations	p. 284
Oscillation Properties of the Equation of Boussinesq and Comparison with Other Fourth Order Equations	p. 292
On Fractional q-Integrals, q-Derivatives and Corresponding Equations	p. 300
Difference and Spectral Methods
Finite Element Solution of 2D and 3D Elliptic Problems with Intersected Interfaces	p. 311
Numerical Solution of a Model Equation of Price Formation	p. 319
On the Analysis of the Fedorenko Finite Superelement Method for Simulation of Processes with Small-Scale Singularities	p. 327
An Immersed Interface FEM for Elliptic Problems with Local Own Sources	p. 335
Numerical Solvers for Generalized Algebraic Riccati Equations	p. 343
Application of the Two-Grid Method to a Heat Radiation Problem	p. 352
Hybridization of the Vector Finite Element Method with the Boundary Integral Method for the Solution of Finite Arrays of Cavity-Backed Slot Antennas	p. 361
Two-Grid Algorithms for the Solution of 2D Semilinear Singularly Perturbed Convection-Diffusion Equations Using an Exponential Finite Difference Scheme	p. 371
Applications in Physics
3D Scene Restoration Using One Active PTZ Camera	p. 383
Super-Resolution with the Help of Active Camera	p. 391
Histogram Optimal Multi-Thresholding	p. 399
Classifying the Basic Parameters of Ultraviolet Copper Bromide Laser	p. 413
Friction-Induced Resonance of a Stochastic Oscillator	p. 421
DSP Algorithms for Fission Fragment and Prompt Fission Neutron Spectroscopy	p. 430
Biomathematics
Continuous Age-structured Model for Bovine Tuberculosis in African Buffalo	p. 443
Amplitude-phase Formulation for a Discrete Two Species Lotka-Volterra System	p. 451
Author Index	p. 459
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