Topic: Computation in Dynamic Economies
Outline:

 I. Approximations

  1. Linear approximations 

  2. Weighted residual approximations
     a. Least-squares 
     b. Collocation 
     c. Galerkin

  3. Finite difference approximations
     a. the ``convection'' terms
     b. the ``diffusion'' terms
     c. the ``growth/decay'' terms


II. Application

     a. Statement of the problem
     b. Form of the approximate solution
     c. Imposing boundary conditions
     d. Computing the approximate solution
     e. Application to economic problems



Preliminaries/tools required:

1. solving linear system of equations
2. solving nonlinear system of equations
3. numerical differentiation
4. numerical integration