Numerical Analysis and Its Applications Book

	Sensitivity Analysis of the Expected Accumulated Reward Using Uniformization and IRK3 Methods	1
	Spectral Properties of Circulant Band Matrices Arising in ODE Methods	10
	A Parameter Robust Method for a Problem with a Symmetry Boundary Layer	18
	An Algorithm Based on Orthogonal Polynomial Vectors for Toeplitz Least Squares Problems	27
	From Sensitivity Analysis to Random Floating Point Arithmetics - Application to Sylvester Equations	35
	Construction of Seminumerical Schemes: Application to the Artificial Satellite Problem	42
	Stability Analysis of Parallel Evaluation of Finite Series of Orthogonal Polynomials	51
	On Solving Large-Scale Weighted Least Squared Problems	59
	A Hybrid Newton-GMRES Method for Solving Nonlinear Equations	68
	Comparative Analysis of Marching Algorithms for Separable Elliptic Problems	76
	Inexact Newton Methods and Mixed Nonlinear Complementary Problems	84
	Skew-Circulant Preconditioners for Systems of LMF-Based ODE Codes	93
	New Families of Symplectic Runge-Kutta-Nystrom Integration Methods	102
	Convergence of Finite Difference Method for Parabolic Problem with Variable Operator	110
	Finite Volume Difference Scheme for a Stiff Elliptic Reaction-Diffusion Problem with a Line Interface	117
	Nested-Dissection Orderings for Sparse LU with Partial Pivoting	125
	Fractional Step Runge-Kutta Methods for the Resolution of Two Dimensional Time Dependent Coefficient Convection-Diffusion Problems	133
	Variable Stepsizes in Symmetric Linear Multistep Methods	144
	Preliminary Remarks on Multigrid Methods for Circulant Matrices	152
	Computing the Inverse Matrix Hyberbolic Sine	160
	Robust Preconditioning of Dense Problems from Electromagnetics	170
	A Mathematical Model for the Limbic System	179
	Understanding Krylov Methods in Finite Precision	187
	A Rational Interpolation Approach to Least Squares Estimation for Band-TARs	198
	Uniqueness of Solution of the Inverse Electroencephalographic Problem	207
	Exploiting Nonlinear Structures of Computational General Equilibrium Models	214
	Constitutive Equations and Numerical Modelling of Time Effects in Soft Porous Rocks	222
	Solvers for Systems of Nonlinear Algebraic Equations - Their Sensitivity to Starting Vectors	230
	The Min-Max Portfolio Optimization Strategy: An Empirical Study on Balanced Portfolios	238
	Convergence Rate for a Convection Parameter Identified Using Tikhonov Regularization	246
	Local Refinement in Non-overlapping Domain Decomposition	253
	Singularly Perturbed Parabolic Problems on Non-rectangular Domains	265
	Special Types of Badly Conditioned Operator Problems in Energy Spaces and Numerical Methods for Them	273
	Proper Weak Regular Splitting for M-Matrices	285
	Parameter-Uniform Numerical Methods for a Class of Singularly Perturbed Problems with a Naumann Boundary Condition	292
	Reynolds-Uniform Numerical Method for Prandtl's Problem with Suction-Blowing Based on Blasius' Approach	304
	Multigrid Methods and Finite Difference Schemes for 2D Singularly Perturbed Problems	316
	Recursive Version of LU Decomposition	325
	Inversion of Symmetric Matrices in a New Block Packed Storage	333
	The Stability Boundary of Certain Two-Layer and Three-Layer Difference Schemes	341
	High Order [epsilon]-Uniform Methods for Singularly Perturbed Reaction-Diffusion Problems	350
	A Grid Free Monte Carlo Algorithm for Solving Elliptic Boundary Value Problems	359
	Newton's Method under Different Lipschitz Conditions	368
	Positive Definite Solutions of the Equation X + A X[superscript -n]A = I	377
	Fast and Superfast Algorithms for Hankel-Like Matrices Related to Orthogonal Polynomials	385
	Acceleration by Parallel Computations of Solving High-Order Time-Accurate Difference Schemes for Singularly Perturbed Convection-Diffusion Problems	393
	Experience with the Solution of a Finite Difference Discretization on Sparse Grids	402
	Topology Optimization of Conductive Media Described by Maxwell's Equations	414
	Finite Element Simulation of Residual Stresses in Thermo-coupled Wire Drawing Process	423
	Construction and Convergence of Difference Schemes for a Modell Elliptic Equation with Dirac-delta Function Coefficient	431
	Operator's Approach to the Problems with Concentrated Factors	439
	A Method of Lines Approach to the Numerical Solution of Singularly Perturbed Elliptic Problems	451
	Sobolev Space Preconditioning of Strongly Nonlinear 4th Order Elliptic Problems	459
	Numerical Techniques for the Recovery of an Unknown Dirichlet Data Function in Semilinear Parabolic Problems with Nonstandard Boundary Conditions	467
	A Generalized GMRES Iterative Method	475
	AMLI Preconditioning of Pure Displacement Non-conforming Elasticity FEM Systems	482
	Computationally Efficient Methods for Solving SURE Models	490
	Application of Boundary Collocation Method in Fluid Mechanics to Stokes Flow Problems	498
	Strang-Type Preconditioners for Differential-Algebraic Equations	505
	Solvability of Runge-Kutta and Block-BVMs Systems Applied to Scalar ODEs	513
	On the Local Sensitivity of the Lyapunov Equations	521
	A Level Set-Boundary Element Method for Simulation of Dynamic Powder Consolidation of Metals	527
	Parallel Performance of a 3D Elliptic Solver	535
	Schwarz Methods for Convection-Diffusion Problems	544
	Matrix Computations Using Quasirandom Sequences	552
	On the Stability of the Generalized Schur Algorithm	560
	Stability of Finite Difference Schemes on Non-uniform Spatial-Time-Grids	568
	Matrix Equations and Structures: Efficient Solution of Special Discrete Algebraic Riccati Equations	578
	A Numerical Comparison between Multi-revolution Algorithms for First-Order and Second-Order ODE Systems	586
	A Robust Layer-Resolving Numerical Method for Plane Stagnation Point Flow	594
	On the Complete Pivoting Conjecture for Hadamard Matrices of Order 16	602
	Regularization Method by Rank Revealing QR Factorization and Its Optimization	608
	A Fast Algorithm for High-Resolution Color Image Reconstruction with Multisensors	615
	A Performance Study on a Single Processing Node of the HITACHI SR8000	628
	Estimation of the Wheat Losses Caused by the Tropospheric Ozone in Bulgaria and Denmark	636
	A Homotopic Residual Correction Process	644
	Parallel Monte Carlo Methods for Derivative Security Pricing	650
	Stability of a Parallel Partitioning Algorithm for Special Classes of Banded Linear Systems	658
	Numerical Solution of ODEs with Distributed Maple	666
	The Boundary Layer Problem of Triple Deck Type	675
	Cellular Neural Network Model for Nonlinear Waves in Medium with Exponential Memory	684
	Numerical Analysis of the Nonlinear Instability of One-Dimensional Compound Capillary Jet	692
	Modelling of Equiaxed Microstructure Formation in Solidifying Two-Component Alloys	702
	A Posteriori and a Priori Techniques of Local Grid Refinement for Parabolic Problems with Boundary and Transition Layers	710
	On a Necessary Requirement for Re-Uniform Numerical Methods to Solve Boundary Layer Equations for Flow along a Flat Plate	723
	A Godunov-Ryabenkii Instability for a Quickest Scheme	732
	Modelling Torsional Properties of Human Bones by Multipoint Pade Approximants	741
	Numerical Algorithm for Studying Hydrodynamics in a Chemical Reactor with a Mixer	749
	A Domain Decomposition Finite Difference Method for Singularly Perturbed Elliptic Equations in Composed Domains	756
	Numerical Analysis of Solid and Shell Models of Human Pelvic Bone	764
	FEM in Numerical Analysis of Stress and Displacement Distributions in Planetary Wheel of Cycloidal Gear	772
	Author Index	781