Numerical Data Fitting in Dynamical Systems A Practical Introduction with Applications and Software
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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| Format: | eBook |
| Language: | English |
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New York, NY
Springer US
2002, 2002
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| Edition: | 1st ed. 2002 |
| Series: | Applied Optimization
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
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