Numerical methods
Purpose MATLAB PROGRAM
Introduction
Chapter 1 - Approximation functions.
- Part I
- Part II
Chapter 2 - Numerical integration
Chapter 3 - Fixed point methods
Chapter 4 - Paramterized Expecation Algorithm (PEA)
- Part I
- Part II
- Part III
Chapter 5 - Value function iteration
Part II
Local approximation of a known function - non_linear_course1.m
Regression approximation of a known function - non_linear_course1b.m
Poly approx of the deterministic RBC model (log)- non_linear_course1c.m
Poly approx of the deterministic RBC model (nonlog)- non_linear_course1c2.m
Chebyshev approximation of a known function - non_linear_course1d.m
Chebyshev approximation of the deteministic RBC model - non_linear_course1e.m
Chebyshev approximation of a kinded known function - non_linear_course1f.m
Chebyshev approximation of a kinded known function - non_linear_course1g.m
Chebyshev approximation of a multidimensional function - non_linear_course1h.m
Tools for multidimensional Chebyshev - multivariate_chebyshev.m
- argpoly_coef.m
Numerical integration by Mid-point rule - numerical_int1.m
Numerical integration by Mid-point rule - numerical_int1b.m
Numerical integration by Trapezoid rule - numerical_int2.m
Numerical integration by Simpson rule - numerical_int3.m
Numerical integration by Gauss-Chebyshev - numerical_int4.m
Numerical integration by Gauss-Legendre - numerical_int5.m
Numerical integration by Gauss-Hermite - numerical_int6.m
Numerical integration by Gauss-Laguerre - numerical_int7.m
Tools: Legendre, Hermite, Laguerre (nodes and weight)
Solve a one-dimensional equation - Newton_algo_1.m
Solve a two-dimensional equation - Newton_algo_2.m
Solve the standard matching model - Newton_algo_3.m
Stochastic RBC model - non_linear_course4a.m
RBC + positive investment - non_linear_course4b.m
Borrowing constraint - non_linear_course4c2.m
RBC by simulations - non_linear_course4a_simul.m
Irreversible investment by simulations - non_linear_course4b_simul.m
Borrowing constraint by simulations - non_linear_course4c_simul.m
RBC with VFI - deterministic_rbc.m
RBC with stochastic VFI - deterministic_rbc.m
Bibliography
Judd, K (1992) Projection methods for solving aggregate growth models,
Tauchen and Hussey (1991) Quadrature-Based Methods for Obtaining Approximate Solutions to Nonlinear Asset Pricing Models
Homework