Practical Parameter Estimation for Engineers & Scientists

One Step from First Principles to Solution

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Last edited by Simulation Solver
November 18, 2013 | History

Practical Parameter Estimation for Engineers & Scientists

One Step from First Principles to Solution

'Parameter Estimation for Engineers & Scientists' textbook shows how one can solve math problems with a few lines of code.

Our textbook uses many real problems from industry to illustrate Calculus-level Problem-Solving. Example problems have been collected over the past 30 plus years.

The goal of our textbook was to get users thinking outside their box. For example, the Oil Refinery problem shows how one could solve oil production for one distillation unit, or one plant, or an entire corporation (i.e. many refineries) all at once! This may consist of one, 100, or 10,000 differential equations while searching for the best refinery(s) to produce products that have pollution by-products. The goal is to minimize pollution by choosing the location where each product is produced. Solve the whole problem in one run not just part of problem.

Publish Date
Language
English
Pages
140

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Book Details


Table of Contents

1. General Algebraic Equations.
Introduction to Magnetic Recording.
A Typical Readback Pulse from Magnetic Recording.
An Unusual Readback Pulse from Magnetic Recording.
A Typical Readback Pulse from Magnetic Recording with Improved Model.
An Unusual Readback Pulse from Magnetic Recording with Improved Model.
Sinusoidal Curve Fitting.
Curve fitting: A Sinusoidal Signal.
Curve fitting: A Damped Sinusoidal Signal.
Pharmacokinetics.
Paper Bicycle Design.
Slack Variable Techniques.
Conclusion on Curve Fitting.
Chapter 1 Exercises.
2. * La Place Transforms.
Optimum Matched Filter (Transfer Function).
Inverse Problem: Optimum Matched Filter (Transfer Function).
Chapter 2 Exercises.
3. * Ordinary Differential Equations (ODEs).
Second Order Non-Linear ODE.
A Third Order Non-Linear ODE.
A Bang-Bang Control Problem.
Non-Linear Equations of Motion.
Pilot’s Ejection Suit.
Chapter 3 Exercises.
4. System of Differential Equations.
The Lorentz Equations, a System of ODEs.
The Convection Reaction Equations, a System of PDEs.
Body Plasma Chemistry.
Modeling a Nanostructured Solar Cell.
Chapter 4 Exercises.
5. Partial Differential Equations.
PDEs: Stock Market to Biology.
Burgers’ Equation.
Telegrapher’s Equation.
6. Inverse Problems.
Custom Thermistor Design.
Drug Development.
Heat Transfer over 1D Slab.
Robot Arm Movement.
Plane Crash Reconstruction.
7. Implicit Equations.
System of Implicit Algebraic Equations.
2nd Order Implicit Differential Equation.
8. Nested Problems.
Nesting … Matched Filter.
Oil Refinery Production.
9. Misc Problems.
Monte Carlo Simulation OR Total Derivative?.
Stiff Equations & Trouble Shooting.
10. Conclusion.
Future: Thinking outside-the-box.
11. Appendix.
Spectral Estimation (free) Software.
‘aplot’ source code.

Edition Notes

Published in
Medford, Oregon, USA

Contributors

Web Programming & Design
Richard Bedwell
Scientific advisor
Joe Thames

The Physical Object

Format
eBook
Number of pages
140

ID Numbers

Open Library
OL25433703M

Links outside Open Library

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