Initial Value Problems 1: This lecture provides an introduction to time-stepping methods for initial value problems of differential equations, including Runge-Kutta and Adams methods.
 
 
 
 
Initial Value Problems 2: This lecture characterizes the error associated with time-stepping methods.
 
 
 
 
Boundary Value Problems 1: This lecture introduces the shooting method for boundary value problems.
 
 
 
 
 
 
Boundary Value Problems 2: This lecture implements the shooting method for boundary value problems.
 
 
 
 
Boundary Value Problems 3: This lecture develops a direct solver method for solving boundary value problems.