Ellen McGrattan
Weighted Residual Methods, The Finite Element Method, and
Applications in Economics


The lectures will discuss the application of weighted residual 
and finite element methods to solve functional equations.  The focus 
will be on solving either Bellman's equation or Euler equations in 
discrete-time economic models. 
 

OUTLINE


I.    Weighted Residual Methods

      a. The least-squares method
      b. The collocation method
      c. The Galerkin method
      d. Applications

II.   The Finite Element Method

      a. Statement of the problem 
      b. Form of the approximate solution
      c. Discretization of the domain
      d. Local approximations
      e. Connecting the elements
      f. Imposing boundary conditions
      g. Applications