Numerical Analysis and Its Applications

Invited Papers.- The Transmission Problem for Elliptic Second Order Equations in a Domain with Conical Boundary Points.- Some Contributions of Homotopic Deviation to the Theory of Matrix Pencils.- Numerical Integration with Complex Jacobi Weight Function.- Surface Reconstruction via L 1-Minimization.- Qualitative Analysis of the Crank-Nicolson Method for the Heat Conduction Equation.- Finite Element Approximation of an Elliptic Boundary Value Problem with Interface.- Perturbation Bounds for Certain Matrix Expressions and Numerical Solution of Matrix Equations.- Numerical Analysis of a 2d Singularly Perturbed Semilinear Reaction-Diffusion Problem.- Weight Uniform Accuracy Estimates of Finite Difference Method for Poisson Equation, Taking into Account Boundary Effect.- An Iterative Numerical Algorithm for a Strongly Coupled System of Singularly Perturbed Convection-Diffusion Problems.- Improved Difference Scheme for a Singularly Perturbed Parabolic Reaction-Diffusion Equation with Discontinuous Initial Condition.- The Numerical Spherically Symmetric Modeling of Deep-Seated Geodynamics.- Temporally-Periodic Solitons of the Parametrically Driven Damped Nonlinear Schrödinger Equation.- Contributed Talks.- Optimal Order FEM for a Coupled Eigenvalue Problem on 2D Overlapping Domains.- New Approach of FEM for Eigenvalue Problems with Non-local Transition Conditions.- Minimal Simplex for IFS Fractal Sets.- Computational Analysis of Expected Climate Change in the Carpathian Basin Using a Dynamical Climate Model.- An Efficient Computational Technique for a System of Singularly Perturbed Initial Value Problems.- Model Predictive Control – Numerical Methods for the Invariant Sets Approximation.- Quartic Spline of Interpolation with Minimal Quadratic Oscillation.- Expressions of Solutions of Linear Partial Differential Equations Using Algebraic Operators and Algebraic Convolution.- Multilevel Splitting of Weighted Graph-Laplacian Arising in Non-conforming Mixed FEM Elliptic Problems.- Stability and Bifurcation of the Magnetic Flux Bound States in Stacked Josephson Junctions.- On the Number of Spikes of Solutions for a Singularly Perturbed Boundary-Value Problem.- On a Class of Almost Orthogonal Polynomials.- Numerical Experiments for Reaction-Diffusion Equations Using Exponential Integrators.- Diaphony of Uniform Samples over Hemisphere and Sphere.- Tensor Product q??Bernstein Bézier Patches.- Modeling of a Vertical Cavity Surface Emitting Laser Containing a Multi-QW Heterostructure.- Memetic Simulated Annealing for the GPS Surveying Problem.- On the Numerical Solution of a Transmission Eigenvalue Problem.- On Weakening Conditions for Discrete Maximum Principles for Linear Finite Element Schemes.- On the Sign-Stability of Finite Difference Solutions of Semilinear Parabolic Problems.- Numerical Solution of the Discrete-Time Coupled Algebraic Riccati Equations.- The Weierstrass Canonical Form of a Regular Matrix Pencil: Numerical Issues and Computational Techniques.- A Coupling Interface Method for a Nonlinear Parabolic-Elliptic Problem.- A New Method for Solving Transient Lossy Transmission Line Problem.- On Superlinear PCG Methods for FDM Discretizations of Convection-Diffusion Equations.- Self-affine Fractals Generated by Nonlinear Systems.- Numerical Modelling of Cellular Immune Response to Virus.- A Two-Grid Approximation of an Interface Problem for the Nonlinear Poisson-Boltzmann Equation.- Numerical Study of Rayleigh-Benard Convection in a Rectangular Box.- On a Discrete Maximum Principle for Linear FE Solutions of Elliptic Problems with a Nondiagonal Coefficient Matrix.- Comparative Analysis of High Performance Solvers for 3D Elasticity Problems.- Damping Control Strategies for Vibration Isolation of Disturbed Structures.- Numerical Simulation of Shock Wave Diffraction on the Sphere in the Shock Tube.- Numerical Solution of a Class of Boundary Value Problems Arising in the Physics of Josephson Junctions.- How to Choose Basis Functions in Meshless Methods?.- Question of Existence and Uniqueness of Solution for Navier-Stokes Equation with Linear “Do-Nothing” Type Boundary Condition on the Outflow.- Geometrical Analysis of Model Predictive Control: A Parameterized Polyhedra Approach.- Parallel Performance and Scalability Experiments with the Danish Eulerian Model on the EPCC Supercomputers.- LAPACK-Based Condition Estimates for the Discrete-Time LQG Design.- Smooth and Nonsmooth Solutions of Several Equations of Mathematical Physics and Their Cellular Neural Network Realization.- Finite Difference Method for Two-Dimensional Equations of Gas Dynamics Using Artificial Viscosity.- A Second Order Central Scheme for Hamilton-Jacobi Equations on Triangular Grids.- Grid Method for Solving the Flow of Traffic Problem on the Highway in a Class of Discontinuous Functions.- The Study of Filtration of Two Phase Fluid in a Porous Medium in a Class of Discontinuous Functions.- Grid Approximation of a Singularly Perturbed Parabolic Reaction-Diffusion Equation on a Ball.- Properties of Generalized Polynomial Spaces in Three Variables.- A Discrete Model for a Network Having Broken Packages.- Applications of the Connection between Approximation Theory and Algebra.- Efficient Numerical Method of the 1D Motion of Two-Phase Fluid through Porous Medium in a Class of Discontinuous Functions.- The Neural Networks Approach to Identification of Local Damages in Elastic Structures.- Numerical Approximation of a Free Boundary Problem for a Predator-Prey Model.- A Second Order Accurate Difference Scheme for the Hyperbolic Problem with Concentrated Data.- On the Discretization Time-Step in the Finite Element Theta-Method of the Discrete Heat Equation.- On an Adaptive Semirefinement Multigrid Algorithm for Convection-Diffusion Problems.- A Two-Grid Algorithm for Solution of the Difference Equations of a System of Singularly Perturbed Semilinear Equations.- Numerical Quadrature for Bessel Transformations with High Oscillations.- Symbolic Computation of an Exact Solution of the Cauchy Problem for the System of Crystal Optics with Polynomial Data.- On the Local Sensitivity of the Discrete-Time Control Problem.- Interpolation Method for a Function with a Singular Component.- Characteristics of the Group Interest Network.- Solving Ordinary Differential Equations by Simplex Integrals.