Solving ODEs with MATLAB: Instructor’s Manual

L.F. Shampine, I. Gladwell & S. Thompson, 2002. - 36 pages. Contents 1 Getting Started Introduction Existence, Uniqueness, and Well-Posedness Standard Form Control of the Error Qualitative Properties 2 Initial Value Problems Introduction 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 Problems Introduction 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 Equations Introduction Delay Differential Equations Numerical Methods for DDEs Solving DDEs in Matlab Other Kinds of DDEs and Software