This book constitutes the thoroughly refereed post-proceedings of the Third International Conference on Numerical Analysis and Its Applications, NAA 2004, held in Rousse, Bulgaria in June/July 2004.
The 68 revised full papers presented together with 8 invited papers were carefully selected during two rounds of reviewing and improvement. All current aspects of numerical analysis are addressed. Among the application fields covered are computational sciences and engineering, chemistry, physics, economics, simulation, fluid dynamics, visualization, etc.
Author(s): Igor Boglaev (auth.), Zhilin Li, Lubin Vulkov, Jerzy Waśniewski (eds.)
Series: Lecture Notes in Computer Science 3401 : Theoretical Computer Science and General Issues
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2005
Language: English
Pages: 630
Tags: Numeric Computing; Algorithm Analysis and Problem Complexity; Simulation and Modeling; Discrete Mathematics in Computer Science; Numerical Analysis; Theoretical, Mathematical and Computational Physics
Front Matter....Pages -
Uniform Convergence of a Monotone Iterative Method for a Nonlinear Reaction-Diffusion Problem....Pages 1-13
The Dynamics of Matrix Coupling with an Application to Krylov Methods....Pages 14-24
High Precision Method for Calculating the Energy Values of the Hydrogen Atom in a Strong Magnetic Field....Pages 25-34
Splitting Methods and Their Application to the Abstract Cauchy Problems....Pages 35-45
Finite Difference Approximation of an Elliptic Interface Problem with Variable Coefficients....Pages 46-55
The Finite Element Method for the Navier-Stokes Equations for a Viscous Heat Conducting Gas....Pages 56-65
Augmented Strategies for Interface and Irregular Domain Problems....Pages 66-79
Accuracy Estimates of Difference Schemes for Quasi-Linear Elliptic Equations with Variable Coefficients Taking into Account Boundary Effect....Pages 80-90
Nodal Two-Dimensional Solitons in Nonlinear Parametric Resonance....Pages 91-99
Supercloseness Between the Elliptic Projection and the Approximate Eigenfunction and Its Application to a Postprocessing of Finite Element Eigenvalue Problems....Pages 100-107
One-Dimensional Patch-Recovery Finite Element Method for Fourth-Order Elliptic Problems....Pages 108-115
Modelling of the Elastic Line for Twist Drill with Straight Shank Fixed in Three-Jaw Chuck....Pages 116-124
On the Solvability of the Steady-State Rolling Problem....Pages 125-132
A Quasi-Monte Carlo Method for an Elastic Electron Back-Scattering Problem....Pages 133-140
Numerical Treatment of Fourth Order Singularly Perturbed Boundary Value Problems....Pages 141-148
Selection Strategies for Set-Valued Runge-Kutta Methods....Pages 149-157
Numerical Methods for the Landau-Lifshitz-Gilbert Equation....Pages 158-165
The Continuous Analog of Newton Method for Nonlinear Data Approximation....Pages 166-170
Prestressed Modal Analysis Using Finite Element Package ANSYS....Pages 171-178
Computer Realization of the Operator Method for Solving of Differential Equations....Pages 179-186
The Strong Stability of the Second-Order Operator-Differential Equations....Pages 187-194
Semi-Lagrangian Semi-implicit Time Splitting Two Time Level Scheme for Hydrostatic Atmospheric Model....Pages 195-202
The Strengthened Cauchy-Bunyakowski-Schwarz Inequality for n -Simplicial Linear Finite Elements....Pages 203-210
Uniformly Convergent Difference Scheme for a Singularly Perturbed Problem of Mixed Parabolic-Elliptic Type....Pages 211-218
The Numerical Solution for System of Singular Integro-Differential Equations by Faber-Laurent Polynomials....Pages 219-223
An Adaptive-Grid Least Squares Finite Element Solution for Flow in Layered Soils....Pages 224-231
New Perturbation Bounds for the Continuous-Time H ∞ -Optimization Problem....Pages 232-239
Progressively Refining Discrete Gradient Projection Method for Semilinear Parabolic Optimal Control Problems....Pages 240-248
Identification of a Nonlinear Damping Function in a Thermoelastic System....Pages 249-256
A Monte Carlo Approach for the Cook-Torrance Model....Pages 257-265
Generic Properties of Differential Inclusions and Control Problems....Pages 266-271
3D Modelling of Diode Laser Active Cavity....Pages 272-279
Ant Colony Optimization for Multiple Knapsack Problem and Model Bias....Pages 280-287
Discretization Methods with Embedded Analytical Solutions for Convection Dominated Transport in Porous Media....Pages 288-295
Order Reduction of Multi-scale Differential Inclusions....Pages 296-303
Computing Eigenvalues of the Discretized Navier-Stokes Model by the Generalized Jacobi-Davidson Method....Pages 304-311
Variational Approach for Restoring Random-Valued Impulse Noise....Pages 312-319
Adaptive Filters Viewed as Iterative Linear Equation Solvers....Pages 320-327
A Rothe-Immersed Interface Method for a Class of Parabolic Interface Problems....Pages 328-336
Volterra Series and Numerical Approximations of ODEs....Pages 337-344
A Property of Farey Tree....Pages 345-351
Comparison of a Rothe-Two Grig Method and Other Numerical Schemes for Solving Semilinear Parabolic Equations....Pages 352-359
An Economic Method for Evaluation of Volume Integrals....Pages 360-367
Sensitivity Analysis of Generalized Lyapunov Equations....Pages 368-374
An Algorithm to Find Values of Minors of Skew Hadamard and Conference Matrices....Pages 375-382
Parallel Performance of a 3D Elliptic Solver....Pages 383-390
Generalized Rayleigh Quotient Shift Strategy in QR Algorithm for Eigenvalue Problems....Pages 391-398
Parameter Estimation of Si Diffusion in Fe Substrates After Hot Dipping and Diffusion Annealing....Pages 399-407
Numerical Design of Optimal Active Control for Seismically-Excited Building Structures....Pages 408-415
Computing Transitive Closure Problem on Linear Systolic Array....Pages 416-423
A Method Which Finds the Maxima and Minima of a Multivariable Function Applying Affine Arithmetic....Pages 424-431
On Analytic Iterative Functions for Solving Nonlinear Equations and Systems of Equations....Pages 432-439
Parallel Implementation and One Year Experiments with the Danish Eulerian Model....Pages 440-447
Conditioning and Error Estimation in the Numerical Solution of Matrix Riccati Equations....Pages 448-455
Numerical Modelling of the One-Phase Stefan Problem by Finite Volume Method....Pages 456-462
Adaptive Conjugate Smoothing of Discontinuous Fields....Pages 463-470
Finite Differences Scheme for the Euler System of Equations in a Class of Discontinuous Functions....Pages 471-477
The λ -Error Order in Multivariate Interpolation....Pages 478-485
Computational Aspects in Spaces of Bivariate Polynomial of w-Degree n ....Pages 486-493
Restarted GMRES with Inexact Matrix–Vector Products....Pages 494-502
Applications of Price Functions and Haar Type Functions to the Numerical Integration....Pages 503-510
Numerical Modelling of the Free Film Dynamics and Heat Transfer Under the van der Waals Forces Action....Pages 511-518
Two Resultant Based Methods Computing the Greatest Common Divisor of Two Polynomials....Pages 519-526
Conservative Difference Scheme for Summary Frequency Generation of Femtosecond Pulse....Pages 527-534
Comparison of Some Difference Schemes for Problem of Femtosecond Pulse Interaction with Semiconductor in the Case of Nonlinear Mobility Coefficient....Pages 535-542
Soliton-Like Regime of Femtosecond Laser Pulse Propogation in Bulk Media Under the Conditions of SHG....Pages 543-550
Computational Method for Finding of Soliton Solutions of a Nonlinear Shrödinger Equation....Pages 551-557
Convergence Analysis for Eigenvalue Approximations on Triangular Finite Element Meshes....Pages 558-565
Performance Optimization and Evaluation for Linear Codes....Pages 566-573
Modelling and Simulating Waves in Anisotropic Elastic Solids....Pages 574-582
Numerical Method for a Chemical Nonlinear Reaction Boundary Value Problem....Pages 583-589
Parametrically Driven Dark Solitons: A Numerical Study....Pages 590-597
Numerical Investigation of the Viscous Flow in a Bioreactor with a Mixer....Pages 598-605
Stability Analysis of a Nonlinear Model of Wastewater Treatment Processes....Pages 606-612
Numerical Search for the States with Minimal Dispersion in Quantum Mechanics with Non–negative Quantum Distribution Function....Pages 613-620
About the Iteration Method for Solving Difference Equations....Pages 621-628
Back Matter....Pages -
