This book constitutes the thoroughly refereed post-proceedings of the Second International Conference on Numerical Analysis and Its Applications, NAA 2000, held in Rousse, Bulgaria in June 2000.
The 90 revised papers presented were carefully selected for inclusion in the book during the two rounds of inspection and reviewing. All current aspects of numerical analysis are addressed. Among the application fields covered are computational sciences and engineering, chemistry, physics, economics, simulation, etc.
Author(s): Haiscam Abdallah, Moulaye Hamza (auth.), Lubin Vulkov, Plamen Yalamov, Jerzy Waśniewski (eds.)
Series: Lecture Notes in Computer Science 1988
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2001
Language: English
Pages: 790
Tags: Numeric Computing; Algorithm Analysis and Problem Complexity; Simulation and Modeling; Numerical Analysis
Sensitivity Analysis of the Expected Accumulated Reward Using Uniformization and IRK3 Methods....Pages 1-9
Spectral Properties of Circulant Band Matrices Arising in ODE Methods....Pages 10-17
A Parameter Robust Method for a Problem with a Symmetry Boundary Layer....Pages 18-26
An Algorithm Based on Orthogonal Polynomial Vectors for Toeplitz Least Squares Problems....Pages 27-34
From Sensitivity Analysis to Random Floating Point Arithmetics - Application to Sylvester Equations....Pages 35-41
Construction of Seminumerical Schemes: Application to the Artificial Satellite Problem....Pages 42-50
Stability Analysis of Parallel Evaluation of Finite Series of Orthogonal Polynomials....Pages 51-58
On Solving Large-Scale Weighted Least Squares Problems....Pages 59-67
A Hybrid Newton-GMRES Method for Solving Nonlinear Equations....Pages 68-75
Comparative Analysis of Marching Algorithms for Separable Elliptic Problems....Pages 76-84
Inexact Newton Methods and Mixed Nonlinear Complementary Problems....Pages 84-92
Skew-Circulant Preconditioners for Systems of LMF-Based ODE Codes....Pages 93-101
New Families of Symplectic Runge-Kutta-Nyström Integration Methods....Pages 102-109
Convergence of Finite Difference Method for Parabolic Problem with Variable Operator....Pages 110-116
Finite Volume Difference Scheme for a Stiff Elliptic Reaction-Diffusion Problem with a Line Interface....Pages 117-124
Nested-Dissection Orderings for Sparse LU with Partial Pivoting....Pages 125-133
Fractional Step Runge-Kutta Methods for the Resolution of Two Dimensional Time Dependent Coefficient Convection-Diffusion Problems....Pages 133-143
Variable Stepsizes in Symmetric Linear Multistep Methods....Pages 144-152
Preliminary Remarks on Multigrid Methods for Circulant Matrices....Pages 152-159
Computing the Inverse Matrix Hyperbolic Sine....Pages 160-169
Robust Preconditioning of Dense Problems from Electromagnetics....Pages 170-178
A Mathematical Model for the Limbic System....Pages 179-186
Understanding Krylov Methods in Finite Precision....Pages 187-197
A Rational Interpolation Approach to Least Squares Estimation for Band-TARs....Pages 198-206
Uniqueness of Solution of the Inverse Electroencephalographic Problem....Pages 207-213
Exploiting Nonlinear Structures of Computational General Equilibrium Models....Pages 214-221
Constitutive Equations and Numerical Modelling of Time Effects in Soft Porous Rocks....Pages 222-229
Solvers for Systems of Nonlinear Algebraic Equations - Their Sensitivity to Starting Vectors....Pages 230-237
The Min-Max Portfolio Optimization Strategy: An Empirical Study on Balanced Portfolios....Pages 238-245
Convergence Rate for a Convection Parameter Identified Using Tikhonov Regularization....Pages 246-252
Local Refinement in Non-overlapping Domain Decomposition....Pages 253-264
Singularly Perturbed Parabolic Problems on Non-rectangular Domains....Pages 265-272
Special Types of Badly Conditioned Operator Problems in Energy Spaces and Numerical Methods for Them....Pages 273-284
Proper Weak Regular Splitting for M-Matrices....Pages 285-291
Parameter-Uniform Numerical Methods for a Class of Singularly Perturbed Problems with a Neumann Boundary Condition....Pages 292-303
Reynolds-Uniform Numerical Method for Prandtl’s Problem with Suction-Blowing Based on Blasius’ Approach....Pages 304-315
Multigrid Methods and Finite Difference Schemes for 2D Singularly Perturbed Problems....Pages 316-324
Recursive Version of LU Decomposition....Pages 325-332
Inversion of Symmetric Matrices in a New Block Packed Storage....Pages 333-340
The Stability Boundary of Certain Two-Layer and Three-Layer Difference Schemes....Pages 341-349
High Order ε-Uniform Methods for Singularly Perturbed Reaction-Diffusion Problems....Pages 350-358
A Grid Free Monte Carlo Algorithm for Solving Elliptic Boundary Value Problems....Pages 359-367
Newton’s Method under Different Lipschitz Conditions....Pages 368-376
Positive Definite Solutions of the Equation X + A * X -n A=I ....Pages 377-384
Fast and Superfast Algorithms for Hankel-Like Matrices Related to Orthogonal Polynomials....Pages 385-392
Acceleration by Parallel Computations of Solving High-Order Time-Accurate Difference Schemes for Singularly Perturbed Convection-Diffusion Problems....Pages 393-401
Experience with the Solution of a Finite Difference Discretization in Sparse Grids....Pages 402-413
Topology Optimization of Conductive Media Described by Maxwell’s Equations....Pages 414-422
Finite Element Simulation of Residual Stresses in Thermo-coupled Wire Drawing Process....Pages 423-430
Construction and Convergence of Difference Schemes for a Modell Elliptic Equation with Dirac-delta Function Coefficient....Pages 431-438
Operator’s Approach to the Problems with Concentrated Factors....Pages 439-450
A Method of Lines Approach to the Numerical Solution of Singularly Perturbed Elliptic Problems....Pages 451-458
Sobolev Space Preconditioning of Strongly Nonlinear 4th Order Elliptic Problems....Pages 459-466
Numerical Techniques for the Recovery of an Unknown Dirichlet Data Function in Semilinear Parabolic Problems with Nonstandard Boundary Conditions....Pages 467-474
A Generalized GMRES Iterative Method....Pages 475-481
AMLI Preconditioning of Pure Displacement Non-conforming Elasticity FEM Systems....Pages 482-490
Computationally E.cient Methods for Solving SURE Models....Pages 490-498
Application of Boundary Collocation Method in Fluid Mechanics to Stokes Flow Problems....Pages 498-505
Strang-Type Preconditioners for Differential-Algebraic Equations....Pages 505-512
Solvability of Runge-Kutta and Block-BVMs Systems Applied to Scalar ODEs....Pages 513-520
On the Local Sensitivity of the Lyapunov Equations....Pages 521-526
A Level Set-Boundary Element Method for Simulation of Dynamic Powder Consolidation of Metals....Pages 527-534
Parallel Performance of a 3D Elliptic Solver....Pages 535-543
Schwarz Methods for Convection-Diffusion Problems....Pages 544-551
Matrix Computations Using Quasirandom Sequences....Pages 552-559
On the Stability of the Generalized Schur Algorithm....Pages 560-568
Stability of Finite Difference Schemes on Non-uniform Spatial-Time-Grids....Pages 568-577
Matrix Equations and Structures: Efficient Solution of Special Discrete Algebraic Riccati Equations....Pages 578-585
A Numerical Comparison between Multi-revolution Algorithms for First-Order and Second-Order ODE Systems....Pages 586-593
A Robust Layer-Resolving Numerical Method for Plane Stagnation Point Flow....Pages 594-601
On the Complete Pivoting Conjecture for Hadamard Matrices of Order 16....Pages 602-607
Regularization Method by Rank Revealing QR Factorization and Its Optimization....Pages 608-615
A Fast Algorithm for High-Resolution Color Image Reconstruction with Multisensors....Pages 615-627
A Performance Study on a Single Processing Node of the HITACHI SR8000....Pages 628-635
Estimation of the Wheat Losses Caused by the Tropospheric Ozone in Bulgaria and Denmark....Pages 636-643
A Homotopic Residual Correction Process....Pages 644-649
Parallel Monte Carlo Methods for Derivative Security Pricing....Pages 650-657
Stability of a Parallel Partitioning Algorithm for Special Classes of Banded Linear Systems....Pages 658-665
Numerical Solution of ODEs with Distributed Maple....Pages 666-674
The Boundary Layer Problem of Triple Deck Type....Pages 675-683
Cellular Neural Network Model for Nonlinear Waves in Medium with Exponential Memory....Pages 684-691
Numerical Analysis of the Nonlinear Instability of One-Dimensional Compound Capillary Jet....Pages 692-701
Modelling of Equiaxed Microstructure Formation in Solidifying Two-Component Alloys....Pages 702-709
A Posteriori and a Priori Techniques of Local Grid Refinement for Parabolic Problems with Boundary and Transition Layers....Pages 710-722
On a Necessary Requirement for Re -Uniform Numerical Methods to Solve Boundary Layer Equations for Flow along a Flat Plate....Pages 723-731
A Godunov-Ryabenkii Instability for a Quickest Scheme....Pages 732-740
Modelling Torsional Properties of Human Bones by Multipoint Padé Approximants....Pages 741-748
Numerical Algorithm for Studying Hydrodynamics in a Chemical Reactor with a Mixer....Pages 749-755
A Domain Decomposition Finite Difference Method for Singularly Perturbed Elliptic Equations in Composed Domains....Pages 756-764
Numerical Analysis of Solid and Shell Models of Human Pelvic Bone....Pages 764-771
FEM in Numerical Analysis of Stress and Displacement Distributions in Planetary Wheel of Cycloidal Gear....Pages 772-779
