Numerical Analysis and Its Applications: 4th International Conference, NAA 2008, Lozenetz, Bulgaria, June 16-20, 2008. Revised Selected Papers

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 -