This book constitutes the thoroughly refereed post-proceedings of NMA 2006 held in Borovets, Bulgaria. Coverage in the 84 revised full papers includes numerical methods for hyperbolic problems, robust preconditioning solution methods, metaheuristics for optimization problems, uncertain/control systems and reliable numerics, interpolation and quadrature processes, and large-scale computations in environmental modeling.
Inhalt
Invited Papers.- On the Discretization of the Coupled Heat and Electrical Diffusion Problems.- The Vector Analysis Grid Operators for Applied Problems.- On Some Computational Aspects of the Variational Data Assimilation Techniques.- Numerical Methods for Hyperbolic Problems.- Weighted Iterative Operator-Splitting Methods: Stability-Theory.- Weighted Iterative Operator-Splitting Methods and Applications.- Robust Preconditioning Solution Methods.- Multilevel Preconditioning of 2D Rannacher-Turek FE Problems; Additive and Multiplicative Methods.- A Parallel Algorithm for Systems of Convection-Diffusion Equations.- Comparative Analysis of Mesh Generators and MIC(0) Preconditioning of FEM Elasticity Systems.- Multigrid-Based Optimal Shape and Topology Design in Magnetostatics.- Generalized Aggregation-Based Multilevel Preconditioning of Crouzeix-Raviart FEM Elliptic Problems.- Solving Coupled Consolidation Equations.- Parallel Schwarz Methods for T-M Modelling.- Parallel Incomplete Factorization of 3D NC FEM Elliptic Systems.- Monte Carlo and Quasi-Monte Carlo for Diverse Applications.- Extended Object Tracking Using Mixture Kalman Filtering.- Exact Error Estimates and Optimal Randomized Algorithms for Integration.- Parallel Monte Carlo Approach for Integration of the Rendering Equation.- Parallel Monte Carlo Sampling Scheme for Sphere and Hemisphere.- A Hybrid Monte Carlo Method for Simulation of Quantum Transport.- Quasi-random Walks on Balls Using C.U.D. Sequences.- On the Exams of a Multi-Attribute Decision Making Electronic Course.- Random Walks for Solving Boundary-Value Problems with Flux Conditions.- Examining Performance Enhancement of p-Channel Strained-SiGe MOSFET Devices.- A Monte Carlo Model of Piezoelectric Scattering in GaN.- Metaheuristics for Optimization Problems.- Solving the Illumination Problem with Heuristics.- Optimal Placement of Antennae Using Metaheuristics.- Sparse Array Optimization by Using the Simulated Annealing Algorithm.- An Iterative Fixing Variable Heuristic for Solving a Combined Blending and Distribution Planning Problem.- Hybrid Heuristic Algorithm for GPS Surveying Problem.- A Hybrid Metaheuristic for a Real Life Vehicle Routing Problem.- Multipopulation Genetic Algorithms: A Tool for Parameter Optimization of Cultivation Processes Models.- Design of Equiripple 2-D Linear-Phase FIR Digital Filters Using Genetic Algorithm.- Uncertain/Control Systems and Reliable Numerics.- A Simple and Efficient Algorithm for Eigenvalues Computation.- Numerical Computations with Hausdorff Continuous Functions.- Mixed Discretization-Optimization Methods for Nonlinear Elliptic Optimal Control Problems.- Stability and Bifurcation Analysis of a Nonlinear Model of Bioreactor.- Discrete Approximations of Singularly Perturbed Systems.- A Generalized Interval LU Decomposition for the Solution of Interval Linear Systems.- On the Relationship Between the Sum of Roots with Positive Real Parts and Polynomial Spectral Factorization.- Lie Brackets and Stabilizing Feedback Controls.- Interval Based Morphological Colour Image Processing.- Solving Linear Systems Whose Input Data Are Rational Functions of Interval Parameters.- Differential Games and Optimal Tax Policy.- Evolutionary Optimization Method for Approximating the Solution Set Hull of Parametric Linear Systems.- Interpolation and Quadrature Processes.- Formulae for Calculation of Normal Probability.- Iterative-Collocation Method for Integral Equations of Heat Conduction Problems.- Numerical Computation of the Markov Factors for the Systems of Polynomials with the Hermite and Laguerre Weights.- Connection of Semi-integer Trigonometric Orthogonal Polynomials with Szeg? Polynomials.- Trigonometric Orthogonal Systems and Quadrature Formulae with Maximal Trigonometric Degree of Exactness.- On the Calculation of the Bernstein-Szegö Factor for Multivariate Polynomials.- Quadrature Formula Based on Interpolating Polynomials: Algorithmic and Computational Aspects.- Large-Scale Computations in Environmental Modelling.- Stability of Semi-implicit Atmospheric Models with Respect to the Reference Temperature Profile.- Using Singular Value Decomposition in Conjunction with Data Assimilation Procedures.- New Operator Splitting Methods and Their Analysis.- On an Implementation of the TM5 Global Model on a Cluster of Workstations.- On the Sign-Stability of the Finite Difference Solutions of One-Dimensional Parabolic Problems.- Comprehensive Modelling of PM10 and PM2.5 Scenarios for Belgium and Europe in 2010.- Parallel and GRID Implementation of a Large Scale Air Pollution Model.- Simulation of an Extreme Air Pollution Episode in the City of Stara Zagora, Bulgaria.- Studying the Properties of Variational Data Assimilation Methods by Applying a Set of Test-Examples.- Contributed Talks.- On the Numerical Solutions of Eigenvalue Problems in Unbounded Domains.- Mesh Independent Superlinear Convergence of an Inner-Outer Iterative Method for Semilinear Elliptic Systems.- Solving Second Order Evolution Equations by Internal Schemes of Approximation.- Target Detection and Parameter Estimation Using the Hough Transform.- Mechanical Failure in Microstructural Heterogeneous Materials.- Round-Trip Operator Technique Applied for Optical Resonators with Dispersion Elements.- On the Impact of Tangential Grid Refinement on Subgrid-Scale Modelling in Large Eddy Simulation.- Detection Acceleration in Hough Parameter Space by K-Stage Detector.- A Method for Calculating Active Feedback System to Control Vertical Position of Plasma in a Tokamak.- Numerical Algorithm for Simultaneously Determining of Unknown Coefficients in a Parabolic Equation.- Data Compression of Color Images Using a Probabilistic Linear Transform Approach.- On a Local Refinement Solver for Coupled Flow in Plain and Porous Media.- Properties of the Lyapunov Iteration for Coupled Riccati Equations in Jump Linear Systems.- Numerical Analysis of Blow-Up Weak Solutions to Semilinear Hyperbolic Equations.- A Monotone Iterative Method for Numerical Solution of Diffusion Equations with Nonlinear Localized Chemical Reactions.- Numerical Solution of an Elliptic Problem with a Non-classical Boundary Condition.- Contour Determination in Ultrasound Medical Images Using Interacting Multiple Model Probabilistic Data Association Filter.- Computational Model of 1D Continuum Motion. Case of Textile Yarn Unwinding Without Air Resistance.- A Numerical Approach to the Dynamic Unilateral Contact Problem of Soil-Pile Interaction Under Instabilizing and Environmental Effects.- Analysis of Soil-Structure Interaction Considering Complicated Soil Profile.- Numerical Method for Regional Pole Assignment of Linear Control Systems.- Solution Limiters and Flux Limiters for High Order Discontinuous Galerkin Schemes.- Numerical Analysis of the Sinuous Instability of a Viscous Capillary Jet Flowing Down an Immiscible Nonviscous Fluid.- Order Adaptive Quadrature Rule for Real Time Holography Applications.- FEM Modelling of Resonant Frequencies of In-Plane Parallel Piezoelectric Resonator.- Numerical Algorithm for Non-linear Systems Identification Based on Wavelet Transform.- Simulation of Turbulent Thermal Convection Using Finite Volumes.- Phase-Field Versus Level Set Method for 2D Dendritic Growth.