Numerical Data Fitting in Dynamical Systems A Practical Introduction with Applications and Software

Numerical Data Fitting in Dynamical Systems A Practical Introduction with Applications and Software / by Klaus Schittkowski.

Real life phenomena in engineering, natural, or medical sciences are often described by a mathematical model with the goal to analyze numerically the behaviour of the system. Advantages of mathematical models are their cheap availability, the possibility of studying extreme situations that cannot be...

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Bibliographic Details
Main Author: Schittkowski, Klaus (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer US : Imprint: Springer, 2002.
Edition:1st ed. 2002.
Series:Applied Optimization, 77
Springer eBook Collection.
Subjects:
Numerical analysis.
Mathematical optimization.
Mathematical models.
Applied mathematics.
Engineering mathematics.
Statistics .
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1 Introduction
  • 2 Mathematical Foundations
  • 3 Data Fitting Models
  • 4 Numerical Experiments
  • 5 Case Studies
  • Appendix A: Software Installation
  • 1 Hardware and Software Requirements
  • 2 System Setup
  • 3 Packing List
  • Appendix B: Test Examples
  • 1 Explicit Model Functions
  • 2 Laplace Transforms
  • 3 Steady State Equations
  • 4 Ordinary Differential Equations
  • 5 Differential Algebraic Equations
  • 6 Partial Differential Equations
  • 7 Partial Differential Algebraic Equations
  • Appendix C: The PCOMP Language
  • Appendix D: Generation of Fortran Code
  • 1 Model Equations
  • 1.1 Input of Explicit Model Functions
  • 1.2 Input of Laplace Transformations
  • 1.3 Input of Systems of Steady State Equations
  • 1.4 Input of Ordinary Differential Equations
  • 1.5 Input of Differential Algebraic Equations
  • 1.6 Input of Time-Dependent Partial Differential Equations
  • 1.7 Input of Partial Differential Algebraic Equations
  • 2 Execution of Generated Code
  • References.

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