E-raamat: Recent Advances in Numerical Methods and Applications II: Proceedings of the Fourth International Conference, Sofia, Bulgaria 19-23 August 1998 [World Scientific e-raamat]

I Plenary and Invited Papers 1(146) Finite Volume Element Approximations of Integro-Differential Parabolic Problems 3(13) R.E. Ewing R.D. Lazarov Y. Lin Finite Superelements Method 16(11) R.P. Fedorenko The Numerical Solution of a Neumann Problem for Parabolic Singularly Perturbed Equations with High-Order Time Accuracy 27(13) P. W. Hemker G.I. Shishkin L.P. Shishkina Stability of Difference --- Functional Equations and Applications 40(12) Z. Kamont Some Aspects of Restoration of Signals by a Regularization Method 52(11) V.A. Morozov Total Simulation Error 63(11) A.L. Perkins P.A. Orlin L.F. Smedstad Explicit-Implicit Difference Schemes for Convection-Diffusion Problems 74(13) A.A. Samarskii P.N. Vabishchevich Coefficient Stability of Differential-Operator Equations and Operator-Difference Schemes 87(12) A.A. Samarskii P.N. Vabishchevich P.P. Matus Uniform Convergence of Fourier --- Walsh-Similar Series 99(13) Bl. Sendov Domain Decomposition and Boundary Elements 112(12) O. Steinbach W.L. Wendland Subspace Iteration Methods with Preconditioning for Eigenvalues of Very Large Matrices 124(11) H. van der Vorst Development of Partitioned ODE Methods with an Application to Air Pollution Models 135(12) Z. Zlatev II Minisymposia 147(101) Computational Issues in Large Scale Eigenvalue Problems Two-Level Hierarchical Basis Preconditioners for Computing Eigenfrequencies of Cavity Resonators with the Finite Element Method 151(10) P. Arbenz R. Geus Parallelization Strategies for Subspace Methods to Solve Large Eigenproblems 161(9) A. Basermann B. Steffen Preconditioning for Eigenproblems 170(8) G.L.G. Sleijpen H.A. van der Vorst F. Wubs An Implicitly Restarted Bidiagonal Lanczos Method for Large-Scale Singular Value Problems 178(13) X. Wang H. Zha Combustion Modeling in Industrial Furnaces Implementation and Test of a Turbulent-Flame-Speed-Closure Model for Premixed Turbulent Flame Calculations 191(9) F. Dinkelacker S. Holzler K.-P. Helbig A. Leipertz The Role of the Air Supply on NOx Generation in a PK-35 Steam Boiler 200(9) D. Markov P. Stankov F. Andersen On the Influence of the Air Supply on the Thermal Effectiveness of a PK-35 Steam, Boiler 209(9) D. Markov P. Stankov Y. Dinkov S. Yotovski Computer Simulation and Control of the Combustion Process in Industrial Boilers 218(9) P. Stankov Burners Configuration Impact on the Thermal Effectiveness of the PTVM-100 (R) Hot Water Boiler 227(12) P. Stankov D. Markov Y. Dinkov D. Toporov Monte Carlo Methods A Power Method with Monte Carlo Iterations 239(9) I. Dimov A. Karaivanova Efficient Monte Carlo Algorithms for Inverting Matrices Arising in Mixed Finite Element Approximation T. T. Dimov 248(657) A Monte Carlo Branch Method for Simulation of Nonlinear Electron Quantum Kinetics in One-Band Semiconductor 257(9) T. Gurov M. Nedjalkov I. Dimov Monte Carlo Filtering Algorithm for Nonlinear Stochastic Environmental Model 266(9) V.P. Jilkov Tz.A. Semerdjiev D.S. Angelova A Quasirandom Walk Method for Advection-Diffusion Problems 275(9) C. Lecot I. Coulibaly F.E. Khettabi SPRNG: A Scalable Library for Pseudorandom Number Generation 284(12) M. Mascagni The Exact Quality Parameter of Nets Derived from Sobol and Niederreiter Sequences 296(9) W. Ch. Schmid Rough Surface Approximation for Ray Tracing Using a Simple Monte Carlo Methods 305(12) K. Taft V.N. Alexandrov E. Griese Multilevel Methods for Incompressible Viscous Flows Incremental Unknowns and Graph Techniques 317(7) S. Garcia Multilevel Parallel Computations and Domain Decomposition 324(11) O. Goyon Approximation of Nonlinear and Functional PDEs The Stability of the Holly Method for the Stationary Navier-Stokes Problem 335(12) E. Motyl Solving Linear Systems with Error Control On a Verification Algorithm for Tridiagonal Circulant Symmetric Linear Systems 347(8) N.S. Dimitrova An Improvement of the Componentwise Error Estimate Corresponding to a Well-Known Inclusion Result for Solutions of Systems of Linear Equations 355(7) G. Heindl Interval-Based Finite Element Methods 362(13) R.L. Mullen R.L. Muhanna Regular Numerical Methods for Inverse and Ill-Posed Problems Spline Algorithms for Data Processing and Solving Some Inverse Problems 375(9) A.I. Grebennikov Numerical Identification of Unknown Coefficient in Helmholtz Equation via Method of Variational Imbedding 384(8) Tch. T. Marinov Uncertainties in Mathematical Models and Inverse Problems 392(9) A. V. Nenarokomov A.F. Emery T.D. Fadale On the Input Estimation Problem for PDE: the Regularized Solutions and Evolutionary Numerical Algorithms 401(12) I. Sivergina Multifield Problems Time-Harmonic Analysis of Structural In-Fluid Vibrations with a Coupled Finite-Boundary Element Method 413(7) Ch. Beiersdorf Ch. Cabos F. Ihlenburg Mathematical Model and Viscous Splitting Approximation for Sedimentation-Consolidation Processes 420(9) R. Burger W.L. Wendland Domain Decomposition Methods and Far-Field Boundary Conditions for 2D Compressible Viscous Flows 429(9) C. Coclici W.L. Wendland Nonlinear Panel Flutter Phenomena in Transonic Flow 438(13) B.A. Grohmann B. Kroplin D. Dinkler A Stochastic Methodology for Non-Linear Partial Differential Equations 451(10) C.H. Hesse Mixed Finite Element --- Finite Volume Methods for Two Phase Flow in Porous Media 461(12) M. Ohlberger Parallel and Distributed Numerical Computing with Applications Parallel Domain Decomposition Approach for 3D Boundary Value Problems and an Implementation on Parallel Computers 473(9) K. Georgiev Parallel Complexity of Conjugate Gradient Method with Circulant Block-Factorization Preconditioners for 3D Elliptic Problems 482(9) I. Lirkov S. Margenov Benchmarking Performance of Parallel Computers Using a 2D Elliptic Solver 491(12) I. Lirkov S. Margenov M. Paprzycki Parameter-Robust Numerical Methods for Singularly Perturbed and Convection-Dominated Problems Sinc Approximation of Solution of Burgers Equation with Discontinuous Initial Condition 503(9) K. Al-Khaled Finite Difference Domain Decomposition for a Singularly Perturbed Parabolic Problem 512(9) I. Boglaev An &epsis;-Uniform Defect-Correction Method for a Parabolic Convection-Diffusion Problem 521(9) P. W. Hemker G.I. Shishkin L.P. Shishkina A Streamline Diffusion Method for Nonconforming Finite Element Approximations Applied to the Linearized Incompressible Navier-Stokes Equation 530(9) P. Knobloch L. Tobiska A Nonoscillatory Numerical Scheme Based on a General Solution for Unsteady Advection-Diffusion Equations 539(8) K. Sakai Grid Approximation of Singularly Perturbed Elliptic Equations with Convective Terms in Unbounded Domains 547(9) G.I. Shishkin A Decomposition Method for Singularly Perturbed Reaction-Diffusion Equations 556(9) I. V. Tselishcheva G.I. Shishkin III Contributed Talks 565(340) Finite Difference Methods Fast Numerical Evaluation of the Simple Layer Logarithmic Potential 569(7) N.T. Kolkovska A Numerical Method for Studying the Oxygen Supply to Tissue in Hypertrophy 576(11) G. Simeonov R. Ivanova Finite Element Methods On the Variational Aspects for Elliptic Problems with Parameter on the Boundary 587(7) A.B. Andreev A.H. Hristov Numerical Solution of Differential Equations Using Wavelet Integrals 594(9) A. Iontcheva Multilevel HB Preconditioning of Non-Conforming FEM Systems 603(8) Tz. V. Kolev S. D. Margenov Loss of Stability, Bifurcation and Branch Switching in Soil Plasticity 611(10) H. van der Veen K. Vuik R. de Borst Finite Volume Methods Finite Volume Methods for Non Smooth Solution of Diffusion Models; Application to Imperfect Contact Problems 621(9) Ph. Angot On Finite Volume Discretizations for Interface Problems with Piecewise Constant Coefficients 630(11) O.P. Iliev Boundary Element Methods Numerical Solution of Singular Fredholm Integral Equation of the Second Kind 641(9) G.M. Attia R.A. Abd El-Monem E.M. Ibrahim F.M.H. Youssef Boundary Integral Method for the Laplace Equation in a Slit Domain 650(9) M. Avigal J.E. Steinberg Dual Reciprocity Method with Multigrid Technique 659(12) C. Gaspar Numerical Linear Algebra Hybrid Methods for Minimizing Least-Distance Functions with Semi-Definite Matrix Constraints 671(8) S.S. Al-Homidan Positive Definite Solutions of a Family of Nonlinear Matrix Equations 679(8) S.M. El-Sayed Symmetric Rank Revealing Factorizations 687(9) P.C. Hansen P. Y. Yalamov An Optimal Incomplete Factorization Method for Stieltjes Matrices 696(9) M.R. Larin Backward Stability of a Parallel Partitioning Algorithm for Banded Linear Systems 705(12) P. Yalamov V. Pavlov Numerical Methods for Non-Linear Problems Numerical Solution of Discrete Quadratic Optimal Control Problems 717(8) C. Durazzi E. Galligani Interval-Analytical Estimations of the Fixed Point of a Volterra Integral Operator with Interval Parameters 725(8) O.B. Ermakov An O(n2) Active Set Method for Solving a Parametric Quadratic Program 733(9) M.A. Gomez Explicit Bounds and Approximations for Polynomial Roots in Mathematics of Finance 742(6) J. Herzberger K. Backhaus A Comparison of Numerical Solvers for Equations of Tropospheric Chemistry 748(9) R. Lorenzini L. Passoni Some Stable Algorithm for Solving Problems of Feedback Control and Reconstruction for Distributed Parameter Systems 757(8) V.I. Maksimov Stability of Variable Coefficients Runge-Kutta Methods 765(10) M. Nakashima Numerical Methods for Multiscale Problems A Generalized Coordinate Differential Quadrature Element Method 775(9) Ch.-N. Chen Space-Filling Curves Generated by Fractal Interpolation Functions 784(11) V. Drakopoulos L. Dalla Multigrid and Domain Decomposition An Iterative Solution Method for Schur Complement Systems with Inexact Inner Solver 795(9) O. Axelsson M. Neytcheva Non-Mortar Finite Elements for Elliptic Problems 804(13) V.A. Dobrev P.S. Vassilevski Computational Fluid Dynamics A Fixed Grid Technique for Convection-Diffusion Phase Change Problems 817(7) A.E. Aksenova V.V. Chudanov A.G. Churbanov P.N. Vabishchevich Multiple Time Step Approach for Numerical Simulation of Non-Newtonian Drop Coalescence 824(9) I.B. Bazhlekov F.N. van de Vosse Initial Perturbation Effects on the Instability of a Viscous Capillary Jet 833(9) S. Radev M. Koleva M. Kaschiev L. Tadrist Stable Numerical Calculation of Critical Flow 842(9) J. Stefanovski A Numerical Method for Thermal-Hydraulic Analysis in Complex Geometries 851(10) A. V. Voronkov A.A. Ionkin A.N. Pavlov A. G. Churbanov Mathematical Modelling in Structural Mechanics An Efficient Technique for Solving Linear Conservative Wave Propagation Problem 861(8) N. Petrov M. Mikrenska Environmental Modelling Computation of Periodogram Using a Jackknife Procedure and Its Applications 869(12) G.R. Dargahi-Noubary Y. Shi Engineering Applications The Effect of Constrain on the Deformation of Sluice Gate 881(9) Ch.-Sh. Chou Sh.-Ch. Lou Numerical Modelling of 2D Field Emission from Silicon Wedge Microcathode 890(8) V. Fedirko Yu. Karamzin S. Polyakov I. Zakharova A Numerical Approach to Dynamic Unilateral Contact Problem of Soil-Pile Interaction 898(7) A.A. Liolios Author Index 905