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TOC
Chapter 1 Initial-Value Problems for Ordinary Differential Equations 1
Introduction
Background
Explicit Methods
Stability
Runge-Kutta Methods
Implicit Methods
Extrapolation
Multistep Methods
High-Order Methods Based on Knowledge of allay Stiffness
Systems of Differential Equations
Step-Size Strategies
Mathematical Software
Chapter 2 Boundary-Value Problems for Ordinary Differential Equations: Discrete Variable Methods
Introduction
Background
Initial-Value Methods
Shooting Methods
Multiple Shooting
Superposition
Finite Difference Methods
Linear Second-Order Equations
Flux Boundary Conditions
Integration Method
Nonlinear Second-Order Equations
First-Order Systems
Higher-Order Methods
Mathematical [...]
