Invited Papers.- Uniform Convergence of a Monotone Iterative Method for a Nonlinear Reaction-Diffusion Problem.- The Dynamics of Matrix Coupling with an Application to Krylov Methods.- High Precision Method for Calculating the Energy Values of the Hydrogen Atom in a Strong Magnetic Field.- Splitting Methods and Their Application to the Abstract Cauchy Problems.- Finite Difference Approximation of an Elliptic Interface Problem with Variable Coefficients.- The Finite Element Method for the Navier-Stokes Equations for a Viscous Heat Conducting Gas.- Augmented Strategies for Interface and Irregular Domain Problems.- Accuracy Estimates of Difference Schemes for Quasi-Linear Elliptic Equations with Variable Coefficients Taking into Account Boundary Effect.- Research Papers.- Nodal Two-Dimensional Solitons in Nonlinear Parametric Resonance.- Supercloseness Between the Elliptic Projection and the Approximate Eigenfunction and Its Application to a Postprocessing of Finite Element Eigenvalue Problems.- One-Dimensional Patch-Recovery Finite Element Method for Fourth-Order Elliptic Problems.- Modelling of the Elastic Line for Twist Drill with Straight Shank Fixed in Three-Jaw Chuck.- On the Solvability of the Steady-State Rolling Problem.- A Quasi-Monte Carlo Method for an Elastic Electron Back-Scattering Problem.- Numerical Treatment of Fourth Order Singularly Perturbed Boundary Value Problems.- Selection Strategies for Set-Valued Runge-Kutta Methods.- Numerical Methods for the Landau-Lifshitz-Gilbert Equation.- The Continuous Analog of Newton Method for Nonlinear Data Approximation.- Prestressed Modal Analysis Using Finite Element Package ANSYS.- Computer Realization of the Operator Method for Solving of Differential Equations.- The Strong Stability of the Second-Order Operator-Differential Equations.- Semi-Lagrangian Semi-implicit Time Splitting Two Time Level Scheme for Hydrostatic Atmospheric Model.- The Strengthened Cauchy-Bunyakowski-Schwarz Inequality for n-Simplicial Linear Finite Elements.- Uniformly Convergent Difference Scheme for a Singularly Perturbed Problem of Mixed Parabolic-Elliptic Type.- The Numerical Solution for System of Singular Integro-Differential Equations by Faber-Laurent Polynomials.- An Adaptive-Grid Least Squares Finite Element Solution for Flow in Layered Soils.- New Perturbation Bounds for the Continuous-Time H ???-Optimization Problem.- Progressively Refining Discrete Gradient Projection Method for Semilinear Parabolic Optimal Control Problems.- Identification of a Nonlinear Damping Function in a Thermoelastic System.- A Monte Carlo Approach for the Cook-Torrance Model.- Generic Properties of Differential Inclusions and Control Problems.- 3D Modelling of Diode Laser Active Cavity.- Ant Colony Optimization for Multiple Knapsack Problem and Model Bias.- Discretization Methods with Embedded Analytical Solutions for Convection Dominated Transport in Porous Media.- Order Reduction of Multi-scale Differential Inclusions.- Computing Eigenvalues of the Discretized Navier-Stokes Model by the Generalized Jacobi-Davidson Method.- Variational Approach for Restoring Random-Valued Impulse Noise.- Adaptive Filters Viewed as Iterative Linear Equation Solvers.- A Rothe-Immersed Interface Method for a Class of Parabolic Interface Problems.- Volterra Series and Numerical Approximations of ODEs.- A Property of Farey Tree.- Comparison of a Rothe-Two Grig Method and Other Numerical Schemes for Solving Semilinear Parabolic Equations.- An Economic Method for Evaluation of Volume Integrals.- Sensitivity Analysis of Generalized Lyapunov Equations.- An Algorithm to Find Values of Minors of Skew Hadamard and Conference Matrices.- Parallel Performance of a 3D Elliptic Solver.- Generalized Rayleigh Quotient Shift Strategy in QR Algorithm for Eigenvalue Problems.- Parameter Estimation of Si Diffusion in Fe Substrates After Hot Dipping and Diffusion Annealing.- Numerical Design of Optimal Active Control for Seismically-Excited Building Structures.- Computing Transitive Closure Problem on Linear Systolic Array.- A Method Which Finds the Maxima and Minima of a Multivariable Function Applying Affine Arithmetic.- On Analytic Iterative Functions for Solving Nonlinear Equations and Systems of Equations.- Parallel Implementation and One Year Experiments with the Danish Eulerian Model.- Conditioning and Error Estimation in the Numerical Solution of Matrix Riccati Equations.- Numerical Modelling of the One-Phase Stefan Problem by Finite Volume Method.- Adaptive Conjugate Smoothing of Discontinuous Fields.- Finite Differences Scheme for the Euler System of Equations in a Class of Discontinuous Functions.- The ?-Error Order in Multivariate Interpolation.- Computational Aspects in Spaces of Bivariate Polynomial of w-Degree n.- Restarted GMRES with Inexact Matrix-Vector Products.- Applications of Price Functions and Haar Type Functions to the Numerical Integration.- Numerical Modelling of the Free Film Dynamics and Heat Transfer Under the van der Waals Forces Action.- Two Resultant Based Methods Computing the Greatest Common Divisor of Two Polynomials.- Conservative Difference Scheme for Summary Frequency Generation of Femtosecond Pulse.- Comparison of Some Difference Schemes for Problem of Femtosecond Pulse Interaction with Semiconductor in the Case of Nonlinear Mobility Coefficient.- Soliton-Like Regime of Femtosecond Laser Pulse Propogation in Bulk Media Under the Conditions of SHG.- Computational Method for Finding of Soliton Solutions of a Nonlinear Shrödinger Equation.- Convergence Analysis for Eigenvalue Approximations on Triangular Finite Element Meshes.- Performance Optimization and Evaluation for Linear Codes.- Modelling and Simulating Waves in Anisotropic Elastic Solids.- Numerical Method for a Chemical Nonlinear Reaction Boundary Value Problem.- Parametrically Driven Dark Solitons: A Numerical Study.- Numerical Investigation of the Viscous Flow in a Bioreactor with a Mixer.- Stability Analysis of a Nonlinear Model of Wastewater Treatment Processes.- Numerical Search for the States with Minimal Dispersion in Quantum Mechanics with Non-negative Quantum Distribution Function.- About the Iteration Method for Solving Difference Equations.