Parameter Estimation for Engineers & Scientists
Online version is available.
Our textbook uses many real problems from industry to illustrate Calculuslevel ProblemSolving. Example problems have been collected over the past 40 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 byproducts. 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.
The MetaCalculus Fortran (MC) compiler has been in development for many years. The first public version was called PROSE and released in 1974 on timesharing (CDC) computers. The MC compiler will be available to all via the web hopefully by January 2016.
Help spread the word about Calculuslevel ProblemSolving. Mention the MetaCalculus Fortran (MC) computer language to friends. Have a technical student in college? Help him/her get a job upon graduation by knowing MC from their classes. MC will increase ones productivity by 20 times!!! What normally would take 20 plus weeks to solve can now be solved in less than ONE week.
Table of Content (at present) for Textbook
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 NonLinear ODE
A Third Order NonLinear ODE
A BangBang Control Problem
NonLinear 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 outsidethebox
11. Appendix
Spectral Estimation (free) Software
'aplot' source code
Go to textbook
