We compare the numerical methods that are most widely applied in the computation of the standard business cycle model with flexible labor. The numerical techniques imply economically insignificant differences with regard to business cycle summary statistics except for the volatility of...

A numerical method for solving a class of fractional optimal control problems (FOCPs) is presented. First, the FOCP is transformed into an equivalent variational problem, then using Lagrange polynomials, the problem is reduced to the problem of solving a system of algebraic equations. With the...

As is known, an option price is a solution to a certain partial differential equation (PDE) with terminal conditions (payoff functions). There is a close association between the solution of PDE and the solution of a backward stochastic differential equation (BSDE). We can either solve the PDE to...

Solving economic models with heterogenous agents requires computing aggregate dynamics consistent with individual behaviors. This paper introduces the ?nite volume method from the mathe-matics literature to enlarge the set of numerical methods available to compute dynamics in continuous time....

Introduction -- The Neoclassical GrowthModel Under a Constant Savings Rate -- Optimal Growth: Continuous Time Analysis -- Optimal Growth: Discrete Time Analysis -- Numerical Solution Methods -- Endogenous Growth Models -- Additional Endogenous Growth Models -- Growth in Monetary Economies:...