# Mathematical Modelling in Science and Technology

### The Fourth International Conference, Zurich, Switzerland, August 1983

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Mathematical Modelling in Science and Technology: The Fourth International Conference covers the proceedings of the Fourth International Conference by the same title, held at the Swiss Federal Institute of Technology, Zurich, Switzerland on August 15-17, 1983. Mathematical modeling is a powerful tool to solve many complex problems presented by scientific and technological developments. This book is organized into 20 parts encompassing 180 chapters. The first parts present the basic principles, methodology, systems theory, parameter estimation, system identification, and optimization of mathematical modeling. The succeeding parts discuss the features of stochastic and numerical modeling and simulation languages. Considerable parts deal with the application areas of mathematical modeling, such as in chemical engineering, solid and fluid mechanics, water resources, medicine, economics, transportation, and industry. The last parts tackle the application of mathematical modeling in student management and other academic cases. This book will prove useful to researchers in various science and technology fields.

## Table of Contents

Objective, Conference Organization and Advisory Board

Foreword

Invited General Lectures

Deterministic Control of Uncertain Systems

The Use of Interative Graphics in the Analysis and Design of Complex Feedback Systems

General Software for Computer-Aided Synthesis of Control for Manipulation Robots

Multicriterion Decisions in Systems with Feedback

Mathematical Modeling and Long Range Planning

Modeling and Identification

Statistical Methods for Experimental Planning in Chemical Engineering

Methodology

Direct Computer Modeling

Interpolation Methods for Tensor Functions

An Autoregressive Model with Varying Coefficients with Application to Prediction

Innermathematical Vs. Extramathematical Obstructions to Model Credibility

Searching for Structure: The BMDH Algorithm

Systems Theory

Contributions to a State Space Theory for Linear Partial Differential Equation Models

Complex Dynamical Systems

On Equilibrium Programming

A Decomposition Algorithm for Solving Sparse Systems of Simultaneous Equations

The Structural Complexity of Continuously Functioning Multi-Goal Systems

Mathematical Modelling of Multidimensional Systems and Their Applications

Category of Spaces of Available States with Application to Modelling of Computer Languages

Modelling the Apple II Using Categories of Spaces of Available States

Application of Bifurcation Diagrams to the Modelling of Stability Problems

Qualitative Methods in Social Systems Modelling

An Evaluation Procedure for Electronics Equipment Life Cycle Costs

An Extension of the Concept of Structural Sensitivity in an Urban Model

Parameter Estimation and Systems Identification

On Measures of Nonlinearity for Dynamic Stochastic Systems

Parameter and State Identification in Nonlinearizable Dynamical Models

Singular Perturbation Approach to Stiff Estimation

System Identification of Ship Steering Dynamics without Yaw Measurement

Identification of Multivariable Model for Commercial Vehicles

Dynamic Models of Urban and Regional Systems: Some Conceptual and Methodological Issues

Biocybernetical Model of Some States of Consciousness in Humans

Using Contextual Postprocessing to Improve Recognition of The English Text

Kaiman Filtering and Parameter Estimation in the Elementary Gaussian Process Case

Optimization

On Some Issues Concerning Optimization and Decision Trees

Maximizations with Respect to Cones in Mathematical Modelling

Production-Inventory Systems with State Constraints - Control Policies and Objective Functions

The Design of Optimal Relational Data Model

A Markov Process Model for Cash Management

Modelling Manpower Allocation of Mixed Multiproduct Assembly Line

A Mathematical Technique to Optimize a Mechanical Design with Many Parameters

Multiple Objective Optimization Applied to Missile System Design

Reduction of the Number of Patterns in a Cutting Program

Optimal Design of Heat Conducting Structural Elements

Mathematical Models for Power Converter Design Optimization

Models for Electric Generating System Development - Acceleration of Technology Development and Interaction Analysis

A Comparison of the Algorithms for Automated Data Adjustment and Material Balance Around Mineral Processing Equipment

A Computer Model in Solid Waste Management

Application of Operations Research in Paper Procurement

Stochastic Modelling

Topological Invariance in Stochastic Analysis

Linear Systems Submitted to Nonlinear Transformations of Gaussian Processes a Ritz-Galerkin Approach

Reliability Assessment Based on Point Estimates of Probability Moments

Using Stochastic Optimal Control to Find Shortest Paths in Networks

Markov Process Models: A General Framework for Estimation and Inference in the Absence of State Transition Data

A Storage Process with Non-Constant Inflow and Outflow

A Stochastic Mathematical Model on the Kinetic Theory of Test Particles in the Flow Field of the Discrete Boltzmann Equation

Mathematical Modelling of Surface Temperatures

On the Dynamics of Dumbbell Satellites in Two Gravitational Fields

A Stochastic Treatment of a Dynamic Model for an Interacting Cities System

Cross Correlations in Decomposed Streams of Events with Applications To Queueing Networks

Simulation

Multidisciplinary Mathematical Modeling with Advanced Simulation Languages

MAPLIS - A Matrix Oriented Language for Modelling and Interactive Simulation

MWR - Based Modelling and Simulation of Multidimensional Distributed Parameter Systems with Curvilinear Boundary

Fuzzy Simulation Programming System--Confucius

Mission Planning for the Voyager 2 Encounter with Uranus-- Mathematical Modelling Applications

Graphics Based Simulation System (GBSS) for Microcomputers

Numerical Modelling

Finite Difference Methods for Modelling Elastically Dissimilar Strata

Numerical Implementation of Elasto-Plastic Model

Finite Element Modelling of Contaminant Transport in Saturated Aquifers

A Non-Iterative Performance Modelling Method for Supercharged Heater Cycle

Numerical Solution of Electrical Power Systems Using Diakopitcs

Finite Element Modelling of the Temperature Histories in Arc Welding

Mathematical Modeling of Unbounded Media Undergoing Wave Motion

Numerical Modeling of D-Mappings with Applications to Chemical Kinetics

Transport and Accumulation of Frazil Ice Suspensions in Rivers

A Three Dimensional Model of Estuarine Hydraulics

Some Useful Formulas for Multi-Variable Interpolation and Integration

Finite Element Analysis of Calendering

A Mathematical Model for Computing Run-Up of Breaking Waves

Mathematical Modelling of Spark Ignition Engine Combustion

A Boundary Element Method for Analyzing Mining Induced Stresses and Displacements

Chemical Engineering

Conversion Estimates for Gas-Solid Reactions

Mathematical Model of a Freely-Bubbling Fluidized Bed

Microstructural Models for Immiscible Mixtures: Mathematical Modeling Methods

Ignition of a Combustible Solid with Variable Activation Energy

Concentration Waves - Effects of an Electric Field

Mathematical Models of Heat and Mass Transfer in Capillary-Porous Bodies Drying Process

Reaction Kinetic Parameters Obtained from Differential Scanning Calorimetric Data

Modeling of Base-Catalyzed Phenolic Polymerization

Fuzzy Models in Capital Cost Estimation of Chemical Plants

Solid Mechanics

On Delamination in Plates: A Unilateral-Contact Approach

Application of Lagrange's Equation to Crack Propagation Problems

Modelling the Quasistatic Growth of Curved Interface Cracks in Thermal Stressed Fiber Reinforced Composites by a Modified Crack Closure Integral

Forced Transient Torsional Waves in a Flawed Elastic Composite

Computational Modeling of Cumulative Damage Formation in Polymeric Materials

Structural Damping of Stranded Cable

Energy Absorption in Large Panel Structural Joints

Partial Slip Damping in High Strength Friction Grip Bolted Joints

The Quasi-Elastic Method in Creep Stability Anslysis

On the Theoretical Modeling of Human Joints

Theoretical Analysis of Impact of a Fluid-Filled Spherical Shell with a Shallow Shell: A Model for Head Impact

Mathematical Model of Wrinkling Phenomenon in Structures

Plane Wave Propagation in Discrete Solids by the Monte Carlo Simulation

A Simplified Model for the Damaged Segment of a Longitudinally Vibrating Uniform Beam

A Model of a Fractured Canine Radius Based on the Structural Frequency Response Function

Modeling of Magnetic Field, Pool Profiles, Temperature Field in Cold Crucible Induction Melting

Mathematical Model and Parametric Studies of Foundations on Piles

Fluid Mechanics

Numerical Model of the Arrested Topographic Wave

The Oil-Wave Interaction

Comparison of a Distributed Parameter and a Boundary Integral Model of Long Period Ocean Waves

Far-Field Contaminant Dispersion in Environmental Flows

A Mathematical Model for the Drawing of a Solid Continuum Through Newtonian Fluid Filled Tubular Orifice

Geothermal Aquifer Modelling: A Low Temperature Production/Disposal System

The Numerical Solution of the Natural Convection Flow in a Square Cavity

Experimental and Theoretical Study of Non-Darcy Flow Through Porous Media

Stability of Flow in a Rotating Porous Medium in the Form of An Annulus: The Wide-Gap Problem

A Theoretical Analysis of Nonisothermal Flow of Two Superimposed Fluids in a Converging Geometry

Modelling and Optimization Problems for Stochastic Constrained Functionals in the Kinetic Theory of Aerodynamical Shapes

Water Resources

Numerical Solution of the Shallow Water Equations with a MacCormack Type Finite Difference Scheme

Development and Verification of the Eddy Diffusion Thermal Stratification Model, 'U.S.E.D.'

Mathematical Modelling and Simulation of the Passaic River Basin in New Jersey

Biomedical Models

Massively Parallel Computational Models of Biological Systems

Structural Minimality and Modelling of Systems

Reduced Models of the Pulmonary Arterial Tree: A Case Study in Modelling Methodology

Analysis of Flow Through Stenosed Blood Vessels

Mathematical Model of Aortic Valve Vibration

Variational Solution for Pulsatile Flow in Rigid Tubes

Threshold and Conduction Properties of a Diffusion Model of a Myelinated Axon

Computer Simulation of Arterial Branch Flow

Mathematical Models of Renal Function

The Intrinsic Geometry of Biological Surface Growth

Instabilities in Stem Cell Systems

Neighborhood Complexities and Symmetry of Chemical Graphs and Their Biological Applications

Model Formulation, Identification and Validation: An Integrated Approach for the Study of Physiological Systems

Finite Element Analysis of Enzymatic Removal of ADP from Blood Platelets During Flow

Mathematical Modeling in Enzyme Systems

Inverse Solutions for Auditory Evoked Potential Fields

A Fundamental Problem in Plant Morphogenesis From the Standpoint of Differential Growth

Modelling in Economics

A Generalized Test for Four Types of Regression Specification Error

Estimation and Prediction of Time-Varying Parameter Economic Models

A Dynamic Model of an Informationally Disaggregate Economy

Modelling Non-Price Competition and Market Share

Boom Towns: Queue Up or Bust A Welfare Economy Analysis

Modelling the Economic Development by Means of Impulsive Control Techniques

Final Demand Conversion Coefficients for the 1982 United States Input-Output Table and Their Use in Microeconomic Modelling

Impact of Subsidies and of Tax Deductions on Consumer's Energy Savings - The Belgian Case

System Identification and Analysis of Inflation in Brazil

A Method of Getting Approximate Input-Output Table for Less Developed Countries

Substitutions in the French Food Industry from a Translog Cost Function Model

Imperfect Price Adjustment, Controlled Price and Multimarket Rationing Models: Their Potential Application to the Modelling of Trade in King and Tanner Crab Products

Transportation

Risk Analysis of Railroad Freight Transportation Disasters

Modeling Community Reactions to Transportation Impacts

Integration of Choice Set Reduction in Behavioral Choice Travel Demand Models

A Tour Management System for the Industrial Carrier Problems

Modelling the Future Air Traffic Demands in Saudi Arabia

Routing in Strategic Airlift: A Study in Bottleneck Routing

A Branch and Bound Model for the Transportation Routing Problem

Industrial Applications

Modelling and Generalized Solution for the Kinematics of Multi-Axis Robot's Skeleton

Model Formulation of Flexible Manipulator Arms

Dynamic Formulation Techniques for Robot Manipulators

Stochastic Characterization and Modelling of the Roughness of Technological Surfaces

Computer Control System of Induction Heater

Integrating Human Factor Aspects in Cost Function Development: A Quality Inspection Case

Populations

Stability of Bifurcating Orbits in a Predator Prey Model

Primary Productivity and Ecology in Competitive Plant Communities

Balance of Growth: Cell-Population Approach to Immunity, Hemopoiesis and Cancer

Population Modelling by Second Order Differential Systems

Mathematical Modelling Education

New Approaches to Teaching Mathematical Modelling to Management Students

Curriculum Development in Mathematical Modelling

Issues Involved in the Design of a Mathematical Modelling Course

Mathematical Modelling in a Differential Equations Course

A Goal Programming Application Academic Planning in a Nigerian University

General Topics

Energy Conservation: A Policy Model for the United States

On the Determinants of Credible Analysis

Energy Conservation and Modeling of Indoor Pollution

Some Recent Applications of Mathematical Modelling to Chemistry and Biology

A Population Model Accounting for Household Dimensions

Vertical Motion with Air Resistance

Quantum Mechanics and the Phenomena of Life

Late Abstracts

On a New Iterative Method for Mathematical Modelling of Engineering and Biomedical Systems

Nonclassical Memory Paths in the Description of Material Response to External Excitations

Author Index

## Product details

- No. of pages: 1022
- Language: English
- Copyright: © Pergamon 1984
- Published: January 1, 1984
- Imprint: Pergamon
- eBook ISBN: 9781483190594

## About the Editors

### Xavier J.R. Avula

### Rudolf E. Kalman

### Anthanasios I. Liapis

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