Mathematical Modeling and Computational Science

Name: Mathematical Modeling and Computational Science | International Conference, MMCP 2011, Stará Lesná, Slovakia, July 4-8, 2011, Revised Selected Papers
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International Conference, MMCP 2011, Stará Lesná, Slovakia, July 4-8, 2011, Revised Selected Papers

Gheorghe Adam Ján Busa Michal Hnatic(Herausgeber*in)

Springer (Verlag)

Erschienen am 21. Februar 2012

XII, 336 Seiten

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Inhalt

7125
Preface
Organization
Table of Contents
Plenary Talks
Bayesian Automatic Adaptive Quadrature: An Overview
Introduction
Two Pillars of the Automatic Adaptive Quadrature
Hierarchy of the Bayesian Inferences
Features of the Integrand Profile
The Hardware and Software Environments
Four Early Bayesian Inferences
Other Consistency Criteria
New Priority Queue Perspective
Mechanisms for the Addition of New Descendent Subranges
The Priority Queue Associated to the Subrange Binary Tree
Conclusions
References
Computational Challenges for the CBM Experiment
The CBM Experiment
Event Reconstruction in CBM
Reconstruction of Freely Streaming Data
Online Data Processing
References
Consistency Analysis of Finite Difference Approximations to PDE Systems
Introduction
Preliminaries
Differential Thomas Decomposition
Difference Standard Bases
Consistency of Finite Difference Approximations
Example: Navier-Stokes Equations
Conclusions
References
The Circuit Model of Quantum Computation and Its Simulation with Mathematica
Introduction
Circuit Model for Quantum Computation
Grover's Search Algorithm
Shor's Algorithm for Order Finding
Conclusion
References
Proteins Studied by Computer Simulations
Introduction
Improved Sampling Techniques
Optimizing the Efficiency of Sampling Algorithms
Folding Simulations of Small Proteins
Mis-folding and Aggregation
Conclusion
References
Functional Methods in Stochastic Systems
Introduction
Quantum-Mechanical Representation of Stochastic Problems
Green Functions for the Fokker-Planck Equation
Green Functions for the Master Equation
Functional Representatation of Green Functions
Variational Method
Conclusion
References
Mathematical Modeling of Finite Quantum Systems
Introduction
Basic Structures
Finite Quantum Models
Permutations, Representations and Numbers
Embedding Quantum System into Permutations
Illustrative Example: Group S3
Icosahedral Group A5
References
Multi-channel Computations in Low-Dimensional Few-Body Physics
Introduction
Methods
Quantum Two-Body Problem in Confined Geometry of 1D Harmonic Trap
Discretization of the Angular-Subspace: 2D Nondirect Product Discrete Variable Representation
Splitting-up Method for 4D Time-Dependent Schrödinger Equation
2D Multichannel Scattering Problem as Boundary-Value Problem
Some Results
Resonant Molecule Formation in Harmonic Waveguides
Multichannel Scattering and Confinement-Induced Resonances
Conclusion
References
Mathematical Models to Predict the Critical Conditions for Bacterial Self-healing of Concrete
Introduction
Self-healing Materials with an Encapsulated Healing Agent
Models for Bacteria-Based Self-healing Concrete
Analytical Model for the Probability Characteristics of a Crack Hitting an Encapsulated Self-healing Agent
Description of the Model
Resulting Probability Function
The Model of Bacterial Crack Healing
Domain of Computation
Main Equations and Boundary Conditions
The Level Set Functions as Distance Functions
The Extension of the Front Velocity Off the Interface
Re-initialization of the Distance Functions
Basic and Modified Meshes
Results and Discussion
Conclusions
References
Mathematical Modeling and Methods
A New Discretization Scheme in Field Theory
Introduction
Set-up
Oscillations and Waves on a Discrete Space
Solution of the Equation of Motion
Absence of Classical Divergences. Sources
Large Distance. Commutative Limit
Standing and Travelling Waves
No Radial Symmetry. Bilocal Waves
Summary and Discussion
References
Two-Loop Calculation of the Anomalous Exponents in the Kazantsev-Kraichnan Model of Magnetic Hydrodynamics
Introduction
Kinematic MHD Kazantsev-Kraichnan Model
Field Theoretic Formulation
RG Equations for Composite Operators
Operator Product Expansion
Scalarization of the Diagrams
Calculation of Anomalous Exponents
Calculation of Diagram D2.
Comparison with the Exact Solution
Conclusion
References
Mathematical Modeling of Irregular Integrated Optical Waveguides
Introduction
The Dispersion Relations of Planar Regular Waveguides without Losses in the Form of Smooth Functions without Discontinuities
Dispersion Relations of the Planar Regular Waveguides with Losses
The Dispersion Relations for the First Approximation of the Adiabatic Modes of the Smoothly Irregular Integrated Optical Waveguides
Numerical Study of Complex Dispersion Relations
Conclusions
References
Two Notes on Continuous-Time Neurodynamical Systems
Introduction
Deterministic Neurodynamics
Lyapunov Exponents
Conclusion
References
On the Mathematical Modelling of the Annihilation Process
Introduction
Theoretic Model of Annihilation Reaction, Diagrammatic Technique and RG Equations
UV Renormalization of the Model
IR Stable Fixed Points and Scaling Regimes
Conclusions
References
The Crossing Numbers of Join of Paths and Cycles with Two Graphs of Order Five
Introduction
The Crossing Number of G1 + Dn
The Crossing Number of G1 + Pn
The Crossing Number of G1 + Cn
The Crossing Numbers of G2 + Dn, G2 + Pn, and G2 + Cn
References
Exact Solution of a Moisture Drying System with Phase Transition
Introduction
Model
Solution
Conclusions
References
Pseudo-Differential Operators in an Operational Model of the Quantum Measurement of Observables
Introduction
Quantization Rules and Quantum Distribution Functions
The Standard Model of Quantum Measurements
Operational Quantization Rules of Kuryshkin-Wodkiewicz
Application of the Operational Quantization Rule to the Kepler Problem
Conclusions
References
Exactly Solvable Models for the Generalized Schr¨odinger Equation
Introduction
Intertwining Relations and Darboux Transformations
First-Order Darboux Transformations
Chain of Darboux Transformations
Constructing Exact Solutions for Effective Mass Schrödinger Equations
Conclusion
References
Numerical Modeling and Methods
Floating Point Degree of Precision in Numerical Quadrature
Introduction
Floating Point Degree of Precision
Floating Point Degree of Precision of GK 10-21
Admissible Integrand Variations over Subranges
References
Numerical Simulations of Heat and Moisture Transfer Subject to the Phase Transition
Introduction
Basic Equations
Initial and Boundary Conditions
Numerical Solution and Results
References
Numerical Study of Fluxon Solutions of Sine-Gordon Equation under the Influence of the Boundary Conditions
Introduction
Numerical Approach
Numerical Results
Conclusions
References
Computer Modeling of the Immune System Reconstruction after Peripheral Blood Stem Cell Transplantation
Introduction
Mathematical Model
Software and Methods
Clinical Data
Numerical Tests and Discussion
References
Comparison of Some Finite Difference Schemes for Boussinesq Paradigm Equation
Introduction
Finite Difference Schemes (FDS)
Numerical Method for 1D BPE
Numerical Tests and Discussion
References
Simulation of Shapiro Steps in Current-VoltageCharacteristics of Intrinsic Josephson Junctions in High Temperature Superconductors
Introduction
Method of Simulation
Results and Discussion
Single Junction
Stack of Junctions (Influence of Coupling)
References
Second Order Scheme for Maxwell's Equations with Discontinuous Electromagnetic Properties
Introduction
Maxwell Equations
Numerical Scheme
Test Calculations
Conclusion
References
Simulation of Current Voltage Characteristics of Intrinsic Josephson Junctions in HTSC
Introduction
Model
Current-Voltage Characteristics
Charge Dynamics
References
Numerical Study of Stationary, Time-Periodic, and Quasiperiodic Two- Soliton Complexes in theDamped-Driven Nonlinear Schr¨odinger Equation
Stationary Two-Soliton Complexes
Time-Periodic Complexes
Quasiperiodic Complexes
Conclusions
References
Computational Support of the Experiments
Algorithms and Software for Event Reconstruction in the RICH, TRD and MUCH Detectors of the CBM Experiment
Introduction
Track Reconstruction in the TRD and MUCH Detectors
Ring Reconstruction in the RICH Detector
Speedup of the Tracking Algorithm
Results
Summary
References
On-Line Data Processing in the Dubna Gas Filled Recoil Separator Experiments
Introduction
Method of Active Correlations
Application to HI Induced Nuclear Reactions
Summary
References
Automatic Calibration of Multi-strip Position-Sensitive Detector
Introduction
Formulation of the Mathematical Problem
Combinatorics of Calibration
Rotation of the Calibration Curve
References
Computing Tools
Numerical Simulation of Heat Conductivity in Composite Object with Cylindrical Symmetry
Introduction
Main Equations and Boundary Conditions
Numerical Algorithm
Parallel Algorithm
Results
Discussion and Conclusions
References
Simulation of Holography Using Multiprocessor Systems
Introduction
Problem Formulation
Software Package
Clusters Computations
GPU Computations
Conclusions
References
GPU Computing in Biomolecular Modeling and Nanodesign
Introduction
Molecular Modeling Software Tools
GPU-Supported CADD and CAND Laboratory
Performance Evaluation
Conclusion
References
Numerical Modeling of Nanoparticles Tracking in the Blood Stream
Introduction
Numerical Modeling of Nanoparticles in the Blood Stream
Selecting the Radius of the Simulated Magnetic Particles
Simulation and Analysis of Tracks
Conclusions
References
Parallel Numerical Calculations of Quantum Trimer Systems
Introduction
Theoretical Background
Computational Approach and Results
OpenMP Parallelization
MPI Parallelization
GPGPU Parallelization
Conclusions
References
Optimization and Simulation
A Graph Annihilation Problem
Introduction
Problem Formulation
Generalized Directed Minimal Cost Graph Annihilation Problem
Cost Function
Annihilation Conditions
Linear Programming Formulation of the Minimal Cost Annihilation Problem
Numerical Example
References
Piecewise Scaling in a Model of Neural Network Dynamics
Introduction
Formulation of the MRNN Model
Dynamical Regimes
Critical Dynamics in the MRRN Model
Conclusions
References
Prediction of Financial Markets Using Agent-Based Modeling with OptimizationDriven by Statistical Evaluation of Historical Data
Introduction
Mathematical Background/Agent-Based Model
Extremal Dynamics as an Optimization Process
Results
Conclusions
References
Multi-agent Based Analysis of Financial Data
Introduction
Model of Non-interacting Entities, Population of Scale-Dependent Trend-Followers
Results
The Scale-Formation Process of Independent TF Agents
Populations of Agents - Instant Averages and Transient Characteristics.
The Information Exchange between Agents
Superior-Merchant Agents with Exceptional Information Access.
BM-TF Strategy: TF Agent Born by the M Agent.
RM-TF Strategy: Decisions of TF Agents Regarding Recommendations of M Agents.
Statistical Consequences of the Interaction
Conclusions
References
Constraints on Control Parameters of Asynchronous Differential Evolution
Introduction
Analytical Constraints on Control Parameters of ADE
Phase Portraits for CEC-2005 CEC2005 Test Functions
Conclusions
References
Asynchronous Differential Evolution
Introduction
Classical Differential Evolution
Asynchronous Differential Evolution
Performance of the Asynchronous DE
Conclusions
References
Author Index

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