Solving ODEs with MATLAB: Instructor’s Manual

L.F. Shampine, I. Gladwell & S. Thompson, 2002. - 36 pages.Contents1 Getting StartedIntroduction
Existence, Uniqueness, and Well-Posedness
Standard Form
Control of the Error
Qualitative Properties2 Initial Value ProblemsIntroduction
Numerical Methods for IVPs
One–Step Methods
Local Error Estimation
Runge–Kutta Methods
Explicit Runge–Kutta Formulas
Continuous Extensions
Methods with Memory
Adams Methods
BDF methods
Error Estimation and Change of Order
Continuous Extensions
Solving IVPs in Matlab
Event Location
ODEs Involving a Mass Matrix
Large Systems and the Method of Lines
Singularities
3. Boundary Value ProblemsIntroduction
Boundary Value Problems
Boundary Conditions
Boundary Conditions at Singular Points
Boundary Conditions at Infinity
Numerical Methods for BVPs
Solving BVPs in Matlab
4. Delay Differential EquationsIntroduction
Delay Differential Equations
Numerical Methods for DDEs
Solving DDEs in Matlab
Other Kinds of DDEs and Software