Numerical Methods and Applications

Name: Numerical Methods and Applications | 7th International Conference, NMA 2010, Borovets, Bulgaria, August 20-24, 2010, Revised Papers
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7th International Conference, NMA 2010, Borovets, Bulgaria, August 20-24, 2010, Revised Papers

Lirkov Ivan Dimov Stefka Dimova Natalia Kolkovska(Herausgeber*in)

Springer (Verlag)

Erschienen am 27. Januar 2011

XIV, 512 Seiten

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Inhalt

Title Page
Preface
Organization
Table of Contents
Invited Papers
Space-Time Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems and Compressible Flow
Introduction
Space-Time Discretization
Error Analysis
Derivation of an Abstract Error Estimate
Error Estimation in Terms of h and
DGFEM for the Solution of Compressible Flow in Time-Dependent Domains
Continuous Problem in the ALE Form
Discretization
Flow Induced Airfoil Vibrations
References
Stochastic Algorithms in Linear Algebra - beyond the Markov Chains and von Neumann - Ulam Scheme
Introduction
Sparsified Randomization Algorithms for Linear Systems
SVD and Randomized Versions
SVD Background
Randomized SVD Algorithm
Simulation of Random Fields Based on the Karhunen-Loève Expansion
Discrete Approximation of the Karhunen Loève Expansion
Solution of Integral Equations
Singular Approximations
Inconsistent Systems, Linear Least Squares, and Ill-Posed Problems
Random Row Action Iteration Process
References
SM Stability for Time-Dependent Problems
Introduction
Problem Formulation
SM Properties of the Approximation in Space
SM Properties of the Approximation in Time
References
Monte Carlo and Quasi-Monte Carlo Methods
Advanced Monte Carlo Techniques in the Simulation of CMOS Devices and Circuits
Introduction
Sources of Statistical Variability
Simulation of Statistical Variability
Variability in Future Technology Generations
Compact Model Strategies for Statistical Variability
Basics of Statistical Circuit Simulations in the Presence of Statistical Variability
Conclusions
References
Monte Carlo Method for Numerical Integration Based on Sobol's Sequences
Introduction and Basic Notation
Problem Setting
The Algorithm
Numerical Tests
Discussion of Applicability
Concluding Remarks
References
Using Monte-Carlo Simulation for Risk Assessment: Application to Occupational Exposure during Remediation Works
Introduction
Methods and Materials
Risk Assessment and Monte-Carlo Simulations
Occupational Exposure in Remediation/Rehabilitation Activities
Sampling Methods
Applied Methodology
Effective Dose Assessment
Risk Assessment
Results and Discussion
Conclusions
References
The b-adic Diaphony as a Tool to Study Pseudo-randomness of Nets
Introduction
The $b$-adic Diaphony and Pseudo-randomness
Pseudo-randomness of the Van der Corput Sequence Using the $b$-adic Diaphony
Pseudo-randomness of a Quadratic Generator Using the $b$-adic Diaphony
Pseudo-random Property of the Combination of the Van der Corput Sequence with a Quadratic Generator
Simplification
References
Scatter Estimation for PET Reconstruction
Introduction
Previous Work
Scatter Estimation
High-Dimensional Quadrature Computation
Results
Conclusion
References
Modeling of the SET and RESET Process in Bipolar Resistive Oxide-Based Memory Using Monte Carlo Simulations
Introduction
Model Description
Model Verification
Calculation of Electron Occupation Probabilities
Modeling of the SET and RESET Processes
Conclusion
References
Stochastic Algorithm for Solving the Wigner-Boltzmann Correction Equation
Introduction
The Model
Computational Problem
Stochastic Analysis
Numerical Aspects
Pointwise Evaluation
Conclusions
References
Modeling Thermal Effects in Fully-Depleted SOI Devices with Arbitrary Crystallographic Orientation
Introduction
Electro -Thermal Simulations for 25 nm Gate-Length FD-SOI MOSFET
Conclusions and Future Works
References
Particle Monte Carlo Algorithms with Small Number of Particles in Grid Cells
Introduction
The Modified Collision Algorithms
Numerical Validation of Algorithms A and B
Concluding Remarks
References
Is Self-Heating Important in Nanowire FETs?
Introduction
Nanowire FET Electro-Thermal Simulations
Conclusions and Future Work
References
Environmental Modeling
Mixed-Hybrid Formulation of Multidimensional Fracture Flow
Introduction
Physical Setting
Mixed-Hybrid Formulation of Multidimensional Fracture Flow Problem
Linear System and Its Schur Complements
References
WRF-Fire Applied in Bulgaria
Introduction
Coupled Atmosphere-Fire Modeling by WRF-Fire
Overview of the Software
Mathematical Methods
Initialization and Computational Results
Conclusion and Future Plans
References
Bulgarian Operative System for Chemical Weather Forecast
Introduction
Short Description of BGCW Structure and Information Flow
Operational Performance of BGCW
Conclusion
References
Atmospheric Composition Studies for the Balkan Region
Introduction
Metodology, Models and Input Data
Some Examples of the SNAP Categoriy Conribution Simulations
Some Examples of Process Analysis Simulations
Conclusion
References
Specialized Sparse Matrices Solver in the Chemical Part of an Environmental Model
The 2D Version of the Danish Eulerian Model and Rotational Test
Sequential Splitting Procedure
Numerical Treatment in the Chemistry Module
Numerical Treatment of the Sparse Matrices Arising in the Chemistry Modle
Numerical Results
Conclusion
References
A Numerical Investigation for the Optimal Contaminant Inlet Positions in Horizontal Subsurface Flow Wetlands
Introduction
Method of Analysis
The Mathematical Modeling
The Numerical Simulation
Applications to Pilot - Scale Wetland Units
Pilot-Scale Units Description
The Investigated Unit MG-R with Reeds
Conclusions
References
Using Satellite Observations for Air Quality Assessment with an Inverse Model System
Introduction
EURAD Inverse Model System (EURAD-IM)
Emissions and Observations
Episode Description and Assimilation Setup
Results
Summary
References
Distributed Software System for Data Evaluation and Numerical Simulations of Atmospheric Processes
Introduction and Experimental Setup
Mathematical Model of Atmospheric Physicochemical Processes
Software Architecture
Software System Application
References
Advanced Numerical Tools Applied to Geo-environmental Engineering -Soils Contaminated by Petroleum Hydrocarbons, a Case Study
Introduction
A Mathematical Model for Biodegradation
Results: Fitting Experimental Data
Respirometry Data Treatment
Time Series Analysis
Determination of a Model Structure Using System Identification
Spectral Analysis: Fourier and Wavelets Transforms
Conclusions
References
Richardson Extrapolated Numerical Methods for Treatment of One-Dimensional Advection Equations
One-Dimensional Advection Equations
Application of the Richardson Extrapolation
Introduction of Three Numerical Examples
Numerical Results
References
Grid Computing and Applications
Programming Problems with a Large Number of Objective Functions
Introduction
MOP Problem Presentation
Gridification of (2) Class MOP Problem
Conclusions
References
First Results of SEE-GRID-SCI Application CCIAQ
Introduction
Meteorological Modeling and Meteorological Data Base, Verification
Climate Change in the Temperature and the Precipitation
Air Pollution Modeling and Air Quality Database, Verification
Intensive Long-Term Simulations Using GRID Computation
Contemporary Pollution Levels and Its Changes due to Climate Ones
Conclusion
References
Metaheuristics for Optimization Problems
Genetic Algorithms Based Parameter Identification of Yeast Fed-Batch Cultivation
Introduction
Implementation of Exchanged Operators' Sequence of Crossover and Mutation in Simple and Multi-population Genetic Algorithms
Parameter Identification of S. cerevisiae Fed-Batch Cultivation Using Different Kinds of Simple and Multi-population Genetic Algorithms
Analysis and Conclusions
References
Intuitionistic Fuzzy Interpretations of Conway's Game of Life
Introduction
Remarks on Intuitionistic Fuzzy Sets and Logic
Intuitionistic Fuzzy Criteria of Existence, Birth and Death of an Asterisk
Six Criteria of Existence of an Asterisk
Four Criteria for the Birth of an Asterisk
Four Criteria for the Death of an Asterisk
Intuitionistic Fuzzy Rules for Changing of the Game-Field
Conclusion
References
Ant Colony Optimization Approach to Tokens' Movement within Generalized Nets
Introduction
Short Remarks on GN Theory
Main Results
Conclusion
References
Start Strategies of ACO Applied on Subset Problems
Introduction
Start Strategies
Experimental Results
Conclusion
References
Sensitivity Analysis of ACO Start Strategies for Subset Problems
Introduction
Start Strategies
Multiple Knapsack Problem
Experimental Results
Conclusion
References
A Highly-Parallel TSP Solver for a GPU Computing Platform
Introduction
The Proposed Algorithm
An Overview of the Proposed Algorithm
Parallelization of the OX Operator
Experiments
Conclusion and Future Work
References
Metaheuristics for the Asymmetric Hamiltonian Path Problem
Introduction
Problem Description
Formulation in Mathematical Programming
Basic Heuristics and Local Search
Construction
Improvement
Implementation
Improved Heuristics
Results
Conclusions
References
Adaptive Intelligence Applied to Numerical Optimisation
Introduction
Genetic Algorithm
Particle Swarm Optimisation
Differential Evolution
Free Search
Test Problems
Experimental Results
Conclusion
References
Fed-Batch Cultivation Control Based on Genetic Algorithm PID Controller Tuning
Introduction
Background of the Genetic Algorithms
Background of the Control Algorithm
E. coli MC4110 Fed-Batch Cultivation Model
PID Controller Tuning Using Genetic Algorithm
Results and Discussion
Conclusion
References
Perspectives of Selfish Behaviour in Mobile Ad Hoc Networks
Introduction
Model of the Trust-Based Forwarding
Evolutionary-Based Analysis of the Network
Experiments
Conclusion
References
A Comparison of Metaheurisitics for the Problem of Solving Parametric Interval Linear Systems
Introduction
Interval Equations
Optimization Problems
Metaheuristcs
Evolutionary Optimization
Simulated Annealing
Tabu Search
Numerical Experiments
Conclusions
References
Parametric Approximation of Functions Using Genetic Algorithms: An Example with a Logistic Curve
Introduction
Arithmetic Method
Uniform Growth Percentage
MOPU (Spain) Proposed Method
Geometric Method
Decreasing Rate of the Growth
Logistic Method or $S$-Curve
Problem Definition
Functions
Fitness-Error Function
Experimental Results
Sensibility Analysis
Comparing Methods and Results
Conclusions
References
Population-Based Metaheuristics for Tasks Scheduling in Heterogeneous Distributed Systems
Introduction
Designing Heuristics for Task Scheduling
Numerical Results for Batch Scheduling
Numerical Results for Online Scheduling
Conclusions
References
Modeling and Simulation of Electrochemical Processes
Modeling of Species and Charge Transport in Li-Ion Batteries Based on Non-equilibrium Thermodynamics
Introduction
Model
Charge and Species Transport in a Concentrated Electrolyte
Transport in Active Particles
Intercalation Modeling and Interface Conditions
Conclusions
References
Finite Volume Discretization of Equations Describing Nonlinear Diffusion in Li-Ion Batteries
Introduction
Discretization
Linearization
Numerical Examples
Conclusions
References
Contributed Papers
Numerical Study of Magnetic Flux in the LJJ Model with Double Sine-Gordon Equation
Introduction
Mathematical Statement of the Problem
Numerical Method
Numerical Results and Conclusions
References
A Simple Preconditioner for the SIPG Discretization of Linear Elasticity Equations
Introduction
Preconditioning
Numerical Examples
Concluding Remarks
References
Merger Bound States in 0 - p Josephson Structures
Preliminary Notes and Definitions
Main Results
Statement of the Problem
Numerical Results
References
Some Error Estimates for the Discretization of Parabolic Equations on General Multidimensional Nonconforming Spatial Meshes
Introduction and Aim of This Paper
Equation to be Solved and Preliminaries
Meshes and Schemes
ConvergenceResults
Conclusion
References
Finite-Volume Difference Scheme for the Black-Scholes Equation in Stochastic Volatility Models
Introduction
The Continuous Problem
Space Discretization
Full Discretization
Numerical Experiments
Conclusions
References
On the Numerical Simulation of Unsteady Solutions for the 2D Boussinesq Paradigm Equation
Introduction
Numerical Method for Solving BPE
Numerical Experiments
Conclusion
References
Numerical Investigation of Spiral Structure Solutions of a Nonlinear Elliptic Problem
Introduction
Initial Approximations
Numerical Method for the Self-similar Problem
Computation of the Initial Approximations
Taylor Series Expansion
Asymptotic Series
Expansion in Ascending Series of Chebyshev Polynomials
Parametric Investigation
References
Bidirectional Beam Propagation Method Applied for Lasers with Multilayer Active Medium
Introduction
Description of the Device and Basic Equations
Numerical Solution
Results and Discussion
Conclusion
References
Analysis of the CBS Constant for Quadratic Finite Elements
Introduction
Background Studies
Hierarchical Two-Level Splittings
Differences and Aggregates (DA) Splitting
First Reduce (FR) Splitting
Hierarchical Basis P Splitting
Numerical Study of the CBS Constants
References
Sensitivity of Results of the Water Flow Problem in a Discrete Fracture Network with Large Coefficient Differences
Introduction
Problem Description
Numerical Solution
Results and Comparison
Conclusion
References
Fluxon Dynamics in Stacked Josephson Junctions
Introduction
Mathematical Model
Numerical Methods and Algorithms
Numerical Results
Conclusions and Further Development
References
Global Convergence Properties of the SOR-Weierstrass Method
Introduction
Main Results
Examples
References
Numerical Solution of a Nonlinear Evolution Equation for the Risk Preference
Introduction
Travelling Wave Solution
Numerical Method
Semi-discretization in Time
Quasilinearization
Meshes and Full Discretization
Numerical Experiments
Discussions
References
A Numerical Approach for the American Call Option Pricing Model
Introduction
The Free Boundary Problem
Difference Schemes
Iterative Algorithms
Numerical Experiments
Conclusions
References
A Numerical Study of a Parabolic Monge-Amp`ere Equation in Mathematical Finance
Introduction
Finite Difference Schemes
Iterative Processes
Numerical Experiments
Conclusions
References
Convergence of Finite Difference Schemes for a Multidimensional Boussinesq Equation
Introduction
Numerical Method
Discrete Identities
Convergence of the FDS
Analysis of the Linear Problem
Convergence of the FDS's for the Non-linear Problem
Corollaries
References
A Numerical Approach for Obtaining Fragility Curves in Seismic Structural Mechanics: A Bridge Case of Egnatia Motorway in Northern Greece
Introduction
Methods for Assessing Structural Vulnerability
The Case of an Egnatia Motorway Bridge with Seismic Stoppers
Conclusions
References
An Efficient Numerical Method for a System of Singularly Perturbed Semilinear Reaction-Diffusion Equations
Introduction
Discretization
Convergence Analysis
Numerical Results
References
A Comparison of Methods for Solving Parametric Interval Linear Systems with General Dependencies
Introduction
Revised Affine Arithmetic
Multiplication of Affine Forms
Parametric Interval Linear Systems
Methods for Solving Parametric Interval Linear Systems
Rump's Fixed-Point Iteration
Skalna's Direct Method
Numerical Examples
Conclusions
References
Numerical Investigation of the Upper Bounds on the Convective Heat Transport in a Heated from below Rotating Fluid Layer
Introduction
Mathematical Formulation of the Problem
Details on the Numerical Solution
Results and Discussion
Concluding Remarks
References
Author Index

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