Modeling Simulation and Optimization of Complex Processes HPSC 2012 Proceedings of the Fifth International Conference on High Performance Scientific Computing March 5 9 2012 Hanoi Vietnam 1st Edition Hans Georg Bock 3319090631 9783319090634

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Product details:

• ISBN 10: 3319090631
• ISBN 13: 9783319090634
• Author: Hans Georg Bock

This proceedings volume gathers a selection of papers presented at the Fifth International Conference on High Performance Scientific Computing, which took place in Hanoi on March 5-9, 2012. The conference was organized by the Institute of Mathematics of the Vietnam Academy of Science and Technology (VAST), the Interdisciplinary Center for Scientific Computing (IWR) of Heidelberg University, Ho Chi Minh City University of Technology, and the Vietnam Institute for Advanced Study in Mathematics. The contributions cover the broad interdisciplinary spectrum of scientific computing and present recent advances in theory, development of methods, and practical applications.

Table of contents:

1 Introduction

2 Mathematical Formulation

2.1 A Causal Inverse Model

2.2 A Non-causal Inverse Model

3 Superstable Model Representation

4 Illustrative Examples

5 Conclusions

References

Parallel-in-Space-and-Time Simulation of the Three-Dimensional, Unsteady Navier-Stokes Equations for

1 Introduction

2 Physical Model and Its Discretization and Parallelization

2.1 Parallelization

2.1.1 Parallelization in Space via Domain Decomposition

2.1.2 Parallelization in Time with Parareal

2.1.3 Combined Parallelization in Space and Time

3 Numerical Examples

3.1 Quasi-2D Driven Cavity Flow

3.2 Full 3D Driven Cavity Flow with Obstacles

4 Conclusions

References

Mathematical Modeling of Emotional Body Language During Human Walking

1 Introduction

2 Rigid-Body Model for Human Walking

2.1 Phases

2.2 Contact Modeling

2.3 Ground Collision

2.4 Dynamics Implementation

3 Optimal Control Problem Formulation of a Human Gait

3.1 General Formulation

3.2 Numerical Solution

4 Results

5 Conclusion and Outlook

References

On Quadratic Programming Based Iterative Learning Control for Systems with Actuator Saturation Const

1 Introduction

2 Two Classes of ILC Problems with Constraints

3 Several Effective Linear ILC Laws

3.1 General ILC Supervector Formulation

3.2 General Linear ILC and Convergence

3.3 Euclidean Norm Contraction Mapping ILC Law (P Transpose Law)

3.4 Partial Isometry ILC Law

3.5 General Quadratic Cost ILC Law

3.6 Simple Quadratic Cost ILC

3.7 Defining Well Posed ILC Inverse Problems

4 Quadratic Cost Versions of These Effective ILC Laws

5 The Quadratic Programming Problem for Problem 1

6 Formulating the Quadratic Programming Problem for Problem 2

6.1 Closed Loop Dynamics for Problem 2

6.2 Dynamics When the Actuator Is Saturated

6.3 The QP Problem for Problem 2

7 Numerical Study of QP Based ILC

References

A Sparse Grid Based Generative Topographic Mapping for the Dimensionality Reduction of High-Dimensio

1 Introduction

2 The Generative Model

3 Functional Minimization

4 Discretization of the Model

4.1 Original GTM

4.2 Sparse GTM

5 Numerical Experiments

5.1 Dimensionality Reduction

5.2 Classification

6 Conclusions

References

Sparse Approximation Algorithms for High Dimensional Parametric Initial Value Problems

1 Introduction

2 Parametric Initial Value ODEs

3 Sparsity

4 Numerical Examples

4.1 Separable Parametric ODE

4.2 Non-separable ODE

4.3 ODE System

References

Investigating Capturability in Dynamic Human Locomotion Using Multi-body Dynamics and Optimal Contro

1 Introduction

2 Motion Capture Experiments for Human Walking

3 Modeling the Human Body

3.1 Multi-body Representation of the Human Body

3.2 Equations of Motion

3.3 Ground Contact Model

4 Stability, Balance and Capturability

5 Optimal Control Problem

6 Results

7 Discussion

References

High Performance Calculation of Magnetic Properties and Simulation of Nonequilibrium Phenomena in Na

1 Introduction

2 The Model

3 A Parallel Metropolis Algorithm

4 The Critical Concentration and Ferromagnetism

5 Discussion of the Results of Numerical Simulations and Experimental Data

6 The Critical Field of Switching

7 Visualization of the Magnetization Reversal in an External Magnetic Field

8 Conclusion

References

Inverse Problem of the Calculus of Variations for Second Order Differential Equations with Deviating

1 Introduction

2 Asymmetrical Problems

2.1 Necessary Condition for an Extremum of a Functional with Delay

2.2 The Inverse Problem of the Calculus of Variations

2.3 Example 1

3 Symmetrical Problems

3.1 Euler’s Equation

3.2 The Inverse Problem of the Calculus of Variations

3.3 Example 2

3.4 Example 3 (The Linear Case)

References

State-Space Model and Kalman Filter Gain Identification by a Superspace Method

1 Introduction

2 Mathematical Formulation

2.1 Problem Statement

2.2 A Superstate Vector Definition

3 A Superspace Identification Algorithm

4 Optimality of Superspace Identification

5 Illustrative Examples

5.1 A Simulated System

5.2 CD Player Arm

6 Conclusions

References

Stiff Order Conditions for Exponential Runge–Kutta Methods of Order Five

1 Introduction

2 Reformulation of Exponential Runge–Kutta Methods

3 Analytic Framework

4 A New Approach to Construct the Stiff Order Conditions

4.1 Taylor Expansion of the Exact and the Numerical Solution

4.2 Local Error and Derivation of Stiff Order Conditions

5 Convergence Analysis

References

A Reduced-Order Strategy for Solving Inverse Bayesian Shape Identification Problems in Physiological

1 Introduction

2 Inverse Problems Governed by PDEs

2.1 A Deterministic Approach

2.2 A Bayesian Approach

3 Computational and Geometrical Reduction

4 Application and Results

References

A Mathematical Study of Sprinting on Artificial Legs

1 Introduction

2 Modeling Running Motions With and Without Prostheses

3 Computing Optimal Running Motions

4 Numerical Results

5 Discussion and Perspectives

References

Hilbert Space Treatment of Optimal Control Problems with Infinite Horizon

1 Introduction

2 Applications

3 Problem Formulation

4 Weighted Lebesgue and Sobolev Spaces

5 Main Result and Conclusions

6 Conclusions

References

Optimum Operation of a Beer Filtration Process

1 Introduction

2 Optimizing Control

3 Results and Implementation

4 Conclusions

References

Energy-Aware Lease Scheduling in Virtualized Data Centers

1 Introduction

2 Related Works

3 Problem Description

3.1 A Special Case

3.2 Scheduling Algorithm

4 Experimental Study

5 Conclusions and Future Work

References

Mathematical Models of Perception and Generation of Art Works by Dynamic Motions

1 Introduction

1.1 Action Paintings: Modern Art Works Created by Dynamic Motions

1.2 Understanding the Perception and Generation of Art Works

1.3 Paper Outline

2 Modeling the Perception of Art Works

2.1 Previous Work/State of the Art

2.2 Perception Experiments

2.3 Perception Models

3 Modeling the Generation of Art Works by Dynamic Motions

3.1 Mathematical Background

3.2 Previous Work/State of the Art

3.3 Experiments with Artists

3.4 Motion Generation for Robot Platform by Means of Optimal Control

4 Summary

References

An Eulerian Interface-Sharpening Algorithm for Compressible Gas Dynamics

1 Introduction

2 Mathematical Models

3 Numerical Methods

4 Numerical Examples

5 Conclusion

References

Numerical Simulation of the Damping Behavior of Particle-Filled Hollow Spheres

1 Motivation

2 Molecular Dynamics

3 Adapting Molecular Dynamics to Particle Dynamics

4 Results

5 Future Work

6 Conclusion

References

FSSP Algorithms for Square and Rectangular Arrays

1 Introduction

2 Firing Squad Synchronization Problem

2.1 FSSP on 1D Arrays

2.2 FSSP on 2D Arrays

3 Rotated L-Shaped Mapping Based Algorithm A1

4 Zebra Mapping Based Algorithm A2

5 Diagonal Mapping Based Algorithm A3

6 One-Sided Recursive-Halving Marking Based Algorithm A4

7 Conclusions

References

Optimization Issues in Distributed Computing Systems Design

1 Introduction

2 ILP Model of Scheduling and Capacity Design in Survivable Distributed Computing Systems

2.1 Notation

2.2 ILP Model

3 Cut Inequalities

4 Results

5 Concluding Remarks

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