
"Boot Camp" Materials
- MATLAB computation
- Tutorials
- MathWorks
- Non-MathWorks
- The PDF for the text "Ordinary Differential Equations using MATLAB (3rd Edition)" can be found here. In particular, Chapters 1,2,5,8,11,12 will be especially useful.
- A nice tutorial by Toby Driscoll.
- The Department of Mathematics in Southern Illinois University at Carbondale has a nice set of online tutorials in numerical linear algebra here.
- A simple online tutorial can be found here.
- A tutorial by Peter Turner of Clarkson University can be found here.
- Richard Allen of the University of New Mexico has some online MATLAB help and code. In particular, he has a link to a MATLAB tutorial developed by Monika Nitsche.
- MatCont continuation software in MATLAB can be found here
- Sturm-Liouville theory
- Linear algebra
- Ordinary differential equations
- The notes for an undergraduate level class can be found here
- The notes for a graduate level class can be found here (semester 1) and here (semester 2)
- PPLANE for MATLAB - numerically solves autonomous planar systems
- Numerical differentiation via spectral methods
- "Finite Difference and Spectral Methods for Ordinary and Partial Differential Equations", by L. Trefethen, can be found here
- The paper "A MATLAB differentiation matrix suite" can be found here, and the accompanying software can be found here
- LaTeX
Topical Materials
- Evans function
- Galerkin approximation
- Chapter 3.6 in "Ordinary Differential Equations with Applications", by C. Chicone