Advances in Numerical Methods and Applications

Proceedings of the Third International Conference

Third International Conference on Numerical Methods and Applications

, Sofia, Bulgaria

, 21 – 26 August 1994

https://doi.org/10.1142/2509 | July 1994

Pages: 440

Edited by:
I T Dimov (Bulgarian Academic Science, Bulgaria),
Bl Sendov (Bulgarian Academic Science, Bulgaria), and
P S Vassilevski (Bulgarian Academic Science, Bulgaria)

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ISBN: 978-981-4550-28-4 (ebook) USD 46.00 Add to cart

The topics in this volume range from basic research in numerical methods to applications in physics, mechanics, engineering, environmental science and other areas. These include: numerical methods (finite difference, finite element and boundary element methods; numerical methods of approximation theory; Monte-Carlo methods; preconditioning methods); parallel algorithms; applications of numerical methods.

Sample Chapter(s)
Computer-Aided Interval Interpolation (580 KB)

Contents:

Multigrid and Domain Decomposition Methods for Unstructured Meshes (T F Chan et al.)
Superconvergence of the Mixed Finite Element Approximations to Parabolic Equations (H Chen et al.)
Overconvergent Monte-Carlo Methods for Density–Function Modeling Using B-Splines (I Dimov & A Karaivanova)
Monte-Carlo Evaluation of Multivariate Normal Integrals and Sensitivity to Variate Ordering (D Elston et al.)
Parallel Approximation with Self-Similar Functions (Bl Sendov)
A Two-Level Stabilizing Framework for Interface Domain Decomposition Preconditioners (O Axelsson & P Vassilevski)
Mixed Finite Element Methods Over Quadrilaterals (T Mathew & J Wang)
Parallel Processing of Communication Protocols (Ch Engel & O Spaniol)
Monte-Carlo Modeling of Quantum Electron Transport in Semiconductor Structures (C Jacoboni & M Nedjalkov)
A Bounding Numerical Approach to Seismic Interaction between Adjacent Buildings (A A Liolios)
and other papers

Readership: Applied mathematicians.

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Advances in Numerical Methods and Applications: Proceedings of the Third International Conference

Pages:1–440

https://doi.org/10.1142/9789814533751

Preview Abstract

The Table of Contents for the book is as follows:

Preface
I Numerical Methods
- Computer-Aided Interval Interpolation
- Lumped Mass Approximation for the Mixed Finite Element Method
- Time Integration of Free Boundary Problems in Fluid Mechanics
- MILU Factorizations for 2-Processor Orderings
- A Numerical Scheme for a Quadratic Porous Media Equation
- Computing Extreme Eigenvalues of Large Sparse Symmetric Problems
- Stability of the Krylov Basis and Subspaces
- Multigrid and Domain Decomposition Methods for Unstructured Meshes
- Superconvergence of the Mixed Finite Element Approximations to Parabolic Equations
- Efficient Difference Schemes for Solving Convection Problems in the Stream Function – Vorticity Formulation
- On a Parallel Method for Enclosing Real Roots of Nonlinear Equations
- Overconvergent Monte-Carlo Methods for Density-Function Modelling Using B-Splines
- Finite-Difference Approximation to a Controlled Boundary Value Problem
- Preconditioning of Nonconforming Finite Element Approximations of Second Order Elliptic Problems
- Gradient Algorithms for Linear Systems Arising from the Air Pollution Model on MPS 38
- Monte-Carlo Evaluation of Multivariate Normal Integrals and Sensitivity to Variate Ordering
- Monte-Carlo Methods for Nonlinear Equations
- On Circulant Preconditioning of Elliptic Problems in L-Shaped Domain
- Difference Schemes on the Grids Locally Refining in Space as well as in Time
- Summation of Slowly Convergent Series via Quadratures
- The Short Length AMLI Method – II. Computational and Communication Complexity
- Arnoldi's Procedure and Angles between Krylov Subspaces
- Iterative Application of FFT Methods for the Solution of Linear Elliptic Partial Differential Equations
- Parallel Approximation with Self-Similar Functions
- A Two-Level Stabilizing Framework for Interface Domain Decomposition Preconditioners
- Mixed Finite Element Methods over Quadrilaterals
II Parallel Algorithms
- Non-Uniform Recurrence Equations on 2D Regular Arrays
- On the Implementation of Numerical Methods on Parallel Computers
- A Comparison of Three Parallel Matrix Product Algorithms
- A Data Parallel Functional Language for Distributed Memory Machines
- A Fixed Sized Regular Array for Matrix Inversion by Monte-Carlo Method
- Automatic Parallelization of Numerical Computations in Fields and Lattices
- A Parallelized Placement Algorithm for Printed Circuit Board Design
- Parallel Processing of Communication Protocols
- Parallel Domain Decomposition Algorithms for Time-Dependent Problems of Mathematical Physics
- Two Classes of Efficient Hypercube Orderings for SVD
- Optimizing Large Air Pollution Models on High Speed Computers
III Applications of Numerical Methods
- Metal Forming Processes Simulated by the Finite Element Method
- Liquid Jet Disintegraton Analysis: Direct Numerical Simulation
- Splitting Scheme for Iterative Solution of Bi-Harmonic Equation. Application to 2D Navier–Stokes Problems
- Reliability Estimation by Optimal Monte-Carlo Method
- Seismic Waves in Layered Soil: Boundary Integral Equation Method
- Monte-Carlo Modelling of Quantum Electron Transport in Semiconductor Structures
- Numerical Modeling of Stationary Two-Dimensional Magnetosphere
- Blow-Up or Equilibria for Nonlinear Reaction Diffusion Processes in Plasmas
- A Bounding Numerical Approach to Seismic Interaction between Adjacent Buildings
- Numerical Simulation of Wind-Driven Water Flows
- Numerical Approach to Ideal Separation on Airfoils. Application of Deformed Quasi-Parabolic Coordinates
- Numerical Solution of Hyperbolic Equations with Semilinear Dynamical Conditions
Author Index