Numerical Analysis and Its Applications: 4th International Conference, NAA 2008 Lozenetz, Bulgaria, June 16-20, 2008, Revised Selected Papers (Lecture Notes in Computer Science, 5434)

"This book constitutes the thoroughly refereed post-conference proceedings of the 4th International Conference on Numerical Analysis and Its Applications, NAA 2008, held in Lozenetz, Bulgaria in June 2008." "The 61 revised full papers presented together with 13 invited papers were carefully selected during two rounds of reviewing and improvement. The papers address all current aspects of numerical analysis and discuss a wide range of problems concerning recent achievements in physics, chemistry, engineering, and economics. A special focus is given to numerical approximation and computational geometry, numerical linear algebra and numerical solution of transcendental equations, numerical methods for differential equations, numerical modeling, and high performance scientific computing." --Book Jacket Front Matter....Pages - The Transmission Problem for Elliptic Second Order Equations in a Domain with Conical Boundary Points....Pages 1-12 Some Contributions of Homotopic Deviation to the Theory of Matrix Pencils....Pages 13-19 Numerical Integration with Complex Jacobi Weight Function....Pages 20-31 Surface Reconstruction via L 1 -Minimization....Pages 32-43 Qualitative Analysis of the Crank-Nicolson Method for the Heat Conduction Equation....Pages 44-55 Finite Element Approximation of an Elliptic Boundary Value Problem with Interface....Pages 56-67 Perturbation Bounds for Certain Matrix Expressions and Numerical Solution of Matrix Equations....Pages 68-79 Numerical Analysis of a 2d Singularly Perturbed Semilinear Reaction-Diffusion Problem....Pages 80-91 Weight Uniform Accuracy Estimates of Finite Difference Method for Poisson Equation, Taking into Account Boundary Effect....Pages 92-103 An Iterative Numerical Algorithm for a Strongly Coupled System of Singularly Perturbed Convection-Diffusion Problems....Pages 104-115 Improved Difference Scheme for a Singularly Perturbed Parabolic Reaction-Diffusion Equation with Discontinuous Initial Condition....Pages 116-127 The Numerical Spherically Symmetric Modeling of Deep-Seated Geodynamics....Pages 128-138 Temporally-Periodic Solitons of the Parametrically Driven Damped Nonlinear Schrödinger Equation....Pages 139-150 Optimal Order FEM for a Coupled Eigenvalue Problem on 2D Overlapping Domains....Pages 151-158 New Approach of FEM for Eigenvalue Problems with Non-local Transition Conditions....Pages 159-167 Minimal Simplex for IFS Fractal Sets....Pages 168-175 Computational Analysis of Expected Climate Change in the Carpathian Basin Using a Dynamical Climate Model....Pages 176-183 An Efficient Computational Technique for a System of Singularly Perturbed Initial Value Problems....Pages 184-191 Model Predictive Control – Numerical Methods for the Invariant Sets Approximation....Pages 192-199 Quartic Spline of Interpolation with Minimal Quadratic Oscillation....Pages 200-207 Expressions of Solutions of Linear Partial Differential Equations Using Algebraic Operators and Algebraic Convolution....Pages 208-215 Multilevel Splitting of Weighted Graph-Laplacian Arising in Non-conforming Mixed FEM Elliptic Problems....Pages 216-223 Stability and Bifurcation of the Magnetic Flux Bound States in Stacked Josephson Junctions....Pages 224-232 On the Number of Spikes of Solutions for a Singularly Perturbed Boundary-Value Problem....Pages 233-240 On a Class of Almost Orthogonal Polynomials....Pages 241-248 Numerical Experiments for Reaction-Diffusion Equations Using Exponential Integrators....Pages 249-256 Diaphony of Uniform Samples over Hemisphere and Sphere....Pages 257-264 Tensor Product q −Bernstein Bézier Patches....Pages 265-272 Modeling of a Vertical Cavity Surface Emitting Laser Containing a Multi-QW Heterostructure....Pages 273-280 Memetic Simulated Annealing for the GPS Surveying Problem....Pages 281-288 On the Numerical Solution of a Transmission Eigenvalue Problem....Pages 289-296 On Weakening Conditions for Discrete Maximum Principles for Linear Finite Element Schemes....Pages 297-304 On the Sign-Stability of Finite Difference Solutions of Semilinear Parabolic Problems....Pages 305-313 Numerical Solution of the Discrete-Time Coupled Algebraic Riccati Equations....Pages 314-321 The Weierstrass Canonical Form of a Regular Matrix Pencil: Numerical Issues and Computational Techniques....Pages 322-329 A Coupling Interface Method for a Nonlinear Parabolic-Elliptic Problem....Pages 330-337 A New Method for Solving Transient Lossy Transmission Line Problem....Pages 338-344 On Superlinear PCG Methods for FDM Discretizations of Convection-Diffusion Equations....Pages 345-352 Self-affine Fractals Generated by Nonlinear Systems....Pages 353-360 Numerical Modelling of Cellular Immune Response to Virus....Pages 361-368 A Two-Grid Approximation of an Interface Problem for the Nonlinear Poisson-Boltzmann Equation....Pages 369-376 Numerical Study of Rayleigh-Benard Convection in a Rectangular Box....Pages 377-383 On a Discrete Maximum Principle for Linear FE Solutions of Elliptic Problems with a Nondiagonal Coefficient Matrix....Pages 384-391 Comparative Analysis of High Performance Solvers for 3D Elasticity Problems....Pages 392-399 Damping Control Strategies for Vibration Isolation of Disturbed Structures....Pages 400-407 Numerical Simulation of Shock Wave Diffraction on the Sphere in the Shock Tube....Pages 408-414 Numerical Solution of a Class of Boundary Value Problems Arising in the Physics of Josephson Junctions....Pages 415-422 How to Choose Basis Functions in Meshless Methods?....Pages 423-430 Question of Existence and Uniqueness of Solution for Navier-Stokes Equation with Linear “Do-Nothing” Type Boundary Condition on the Outflow....Pages 431-438 Geometrical Analysis of Model Predictive Control: A Parameterized Polyhedra Approach....Pages 439-446 Parallel Performance and Scalability Experiments with the Danish Eulerian Model on the EPCC Supercomputers....Pages 447-453 LAPACK-Based Condition Estimates for the Discrete-Time LQG Design....Pages 454-460 Smooth and Nonsmooth Solutions of Several Equations of Mathematical Physics and Their Cellular Neural Network Realization....Pages 461-468 Finite Difference Method for Two-Dimensional Equations of Gas Dynamics Using Artificial Viscosity....Pages 469-475 A Second Order Central Scheme for Hamilton-Jacobi Equations on Triangular Grids....Pages 476-485 Grid Method for Solving the Flow of Traffic Problem on the Highway in a Class of Discontinuous Functions....Pages 486-493 The Study of Filtration of Two Phase Fluid in a Porous Medium in a Class of Discontinuous Functions....Pages 494-500 Grid Approximation of a Singularly Perturbed Parabolic Reaction-Diffusion Equation on a Ball....Pages 501-508 Properties of Generalized Polynomial Spaces in Three Variables....Pages 509-516 A Discrete Model for a Network Having Broken Packages....Pages 517-524 Applications of the Connection between Approximation Theory and Algebra....Pages 525-531 Efficient Numerical Method of the 1D Motion of Two-Phase Fluid through Porous Medium in a Class of Discontinuous Functions....Pages 532-539 The Neural Networks Approach to Identification of Local Damages in Elastic Structures....Pages 540-547 Numerical Approximation of a Free Boundary Problem for a Predator-Prey Model....Pages 548-555 A Second Order Accurate Difference Scheme for the Hyperbolic Problem with Concentrated Data....Pages 556-563 On the Discretization Time-Step in the Finite Element Theta-Method of the Discrete Heat Equation....Pages 564-571 On an Adaptive Semirefinement Multigrid Algorithm for Convection-Diffusion Problems....Pages 572-579 A Two-Grid Algorithm for Solution of the Difference Equations of a System of Singularly Perturbed Semilinear Equations....Pages 580-587 Numerical Quadrature for Bessel Transformations with High Oscillations....Pages 588-595 Symbolic Computation of an Exact Solution of the Cauchy Problem for the System of Crystal Optics with Polynomial Data....Pages 596-603 On the Local Sensitivity of the Discrete-Time $\cal H_{\infty}$ Control Problem....Pages 604-611 Interpolation Method for a Function with a Singular Component....Pages 612-619 Characteristics of the Group Interest Network....Pages 620-627 Solving Ordinary Differential Equations by Simplex Integrals....Pages 628-633 Back Matter....Pages -