Some Technical Thoughts on Modeling
Abstract
This paper is more an essay than a report. There is a gentle introduction to some issues in modeling, followed by the use of steepest descent methods to develop a model as contrasted to using such methods to solve one already in hand, as in [1]. Three levels are discussed: fitting functions to model given data, fitting an ODE to model given data, and more briefly, fitting a PDE to model given data. Specific examples are discussed.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2015
- DOI:
- 10.48550/arXiv.1504.01371
- arXiv:
- arXiv:1504.01371
- Bibcode:
- 2015arXiv150401371A
- Keywords:
-
- Mathematics - Dynamical Systems
- E-Print:
- 10 Pages, No Figures