Numerical Methods and Applications

This volume of the Springer Series “Lecture Notes in Computer Science” c- tains refereed papers which were presented at the Fifth International Conf- ence on Numerical Methods and Applications, NMA 2002, held in Borovets, Bulgaria, during 20–24 August 2002. The NMA 2002 Conference was organized by the Central Laboratory for Parallel Processing at the Bulgarian Academy of Sciences in cooperation with SIAM (Society for Industrial and Applied Mat- matics) and GAMM (Gesellschaft fur ¨ Angewandte Mathematik und Mechanik). Co-organizers of this traditional scienti?c meeting were the Institute of Mat- matics and Informatics at the Bulgarian Academy of Sciences and the Faculty of Mathematics and Informatics at the University of So?a. The conference was devoted to the 70th anniversary of the distinguished Bulgarian mathematician academician Blagovest Sendov — the founder of the Bulgarian school in - merical analysis, the teacher of dozens of Ph. D. students, the author of more than 270 papers, textbooks, and monographs. He is the scholar who has been at the center of the mathematical life in Bulgaria for about 50 years. Over the years he headed the Bulgarian Academy of Sciences, the University of So?a, the Faculty of Mathematics and Informatics of the University of So?a, the C- tral Laboratory for Parallel Processing of the Bulgarian Academy of Sciences, the Department of Mathematical Modeling of the Institute of Mathematics and Informatics, the Union of Bulgarian Mathematicians, etc. He represented with distinctionBulgarianscienceinsuchworld-recognizedorganizationsasIFIP (- ternationalFederationforInformationProcessing),theInternationalAssociation ofUniversities,theInternationalCouncilofScienti?cUnions,theBalkanMat- maticalUnion,etc.

Invited Papers.- Forgivable Variational Crimes.- An Introduction to the Theory of Plausible and Paradoxical Reasoning.- Comparison of Ten Methods for the Solution of Large and Sparse Linear Algebraic Systems.- Variable-Coefficient Difference Schemes for Quasilinear Evolution Problems.- Additive Schemes for Systems of Time-Dependent Equations of Mathematical Physics.- Geometry of Polynomials and Numerical Analysis.- Monte Carlo and Quasi-Monte Carlo Methods.- Hybrid Monte Carlo Methods for Matrix Computation.- A New Efficient Algorithm for Generating the Scrambled Sobol' Sequence.- Generating and Testing the Modified Halton Sequences.- Parallel Importance Separation and Adaptive Monte Carlo Algorithms for Multiple Integrals.- Monte Carlo and Quasi-Monte Carlo Algorithms for the Barker-Ferry Equation with Low Complexity.- On Some Weight Monte Carlo Methods for Investigating the Asymptotical Behavior of Solution of the Transfer Equation.- A Monte Carlo Approach for Finding More than One Eigenpair.- A New Class of Grid-Free Monte Carlo Algorithms for Elliptic Boundary Value Problems.- Monte-Carlo Integration Using Cryptographically Secure Pseudo-random Generator.- Robust Iterative Solution Methods and Applications.- Galerkin and Control Volume Finite Element Methods for Large Scale Air Pollution Simulations: A Comparison.- Robust Preconditioners for Saddle Point Problems.- Solving Eigenproblems: From Arnoldi via Jacobi-Davidson to the Riccati Method.- On a Multigrid Adaptive Refinement Solver for Saturated Non-Newtonian Flow in Porous Media.- On a Multigrid Eigensolver for Linear Elasticity Problems.- On a Two-Level Parallel MIC(0) Preconditioning of Crouzeix-Raviart Non-conforming FEM Systems.- Control and Uncertain Systems.- Discrete Methods for Optimal Control Problems.- Numerical Schemes of Higher Order for a Class of Nonlinear Control Systems.- A Size Distribution Model Applied to Fish Farming.- A Stabilizing Feedback of an Uncertain Control System.- On the Stabilizability of Control Constrained Linear Systems.- An Interval Analysis Based Algorithm for Computing the Stability Margin of Uncertain Systems.- Evaluation of Crisis, Reversibility, Alert Management for Constrained Dynamical Systems Using Impulse Dynamical Systems.- Numerical Methods for Sensor Data Processing.- Digital Quadrature Demodulation of LFM Signals Obtained by Lowpass Filtering.- An Accelerated IMM JPDA Algorithm for Tracking Multiple Manoeuvring Targets in Clutter.- Tracking Algorithms Represented as Classes.- CFAR Processors in Pulse Jamming.- Statistical Classifier of Radar Returns.- Estimation of Markovian Jump Systems with Unknown Transition Probabilities through Bayesian Sampling.- A Comparison of Decision Making Criteria and Optimization Methods for Active Robotic Sensing.- Gaze-Contingent Multi-modality Displays of Multi-layered Geographical Maps.- About the Specifics of the IMM Algorithm Design.- Target Behaviour Tendency Estimation Using Fuzzy Logic.- Contributed Papers.- Two Approaches to the Finite Element Analysis of the Stiffened Plates.- On the Postprocessing Technique for Eigenvalue Problems.- The Kachanov Method for a Rigid-Plastic Rolling Problem.- Implementation of Bilinear Nonconforming Finite Elements in an Eulerian Air Pollution Model: Results Obtained by Using the Rotational Test.- Contour-Integral Representation of Single and Double Layer Potentials for Axisymmetric Problems.- Uniformly Convergent High-Order Schemes for a 2D Elliptic Reaction-Diffusion Problem with Anisotropic Coefficients.- Kantorovich Method for Solving the Multi-dimensional Eigenvalue and Scattering Problems of Schrödinger Equation.- A Unified Algorithm to Predict Both Compressible and Incompressible Flows.- Parameter Estimation in Size/Age Structured Population Models Using the Moving Finite Element Method.- Numerical Solution of Large Non-Hermitian Eigenvalue Problem Arising from Model of Vertical Cavity Surface Emitting Laser Array.- ACO Algorithm for MKP Using Various Heuristic Information.- Discretization Methods with Discrete Minimum and Maximum Property for Convection Dominated Transport in Porous Media.- Finite Difference Scheme for Filtration and Consolidation Problems.- An Algorithm for Parallel Implementations of an Eulerian Smog Model.- Generating Minimal Surfaces Subject to the Plateau Problems by Finite Element Method.- Optimal Structural Design of Biomorphic Composite Materials.- A Generalized (Meshfree) Finite Difference Discretization for Elliptic Interface Problems.- Applications of Weighted Compact Scheme to Curvilinear System.- Immersed Interface Method for a Reaction-Diffusion Equation with a Moving Own Concentrated Source.- Effectiveness Evaluation of Parallel Execution of Some Mathematical Methods.- A Numerical Approach for a Hemivariational Inequality Concerning the Dynamic Interaction between Adjacent Elastic Bodies.- Parallel Performance of an MPI Solver for 3D Elasticity Problems.- Unconditionally Stable Explicit Difference Schemes for the Variable Coefficients Parabolic Differential Equation (IV).- Flexible Two-Level Parallel Implementations of a Large Air Pollution Model.- High Accuracy Difference Schemes on Unstructured Triangle Grids.- The PCD Method.