Numerical Analysis and Its Applications: Third International Conference, Naa 2004, Rousse, Bulgaria, June 29 - July 3, 2004, Revised Selected Papers

ISBN-13: 9783540249375 / Angielski / Miękka / 2005 / 630 str.

Zhilin Li; Lubin Vulkov; Jerzy Wasniewski

Opis

This book constitutes the thoroughly refereed post-proceedings of the Third International Conference on Numerical Analysis and Its Applications, NAA 2004, held in Rousse, Bulgaria in June/July 2004.

The 68 revised full papers presented together with 8 invited papers were carefully selected during two rounds of reviewing and improvement. All current aspects of numerical analysis are addressed. Among the application fields covered are computational sciences and engineering, chemistry, physics, economics, simulation, fluid dynamics, visualization, etc.

Spis treści

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.