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:...

This manuscript gives introduction to parabolic Partial Differential Equations (PDE) in one-dimensional case. It recalls the notion and main limitations of Black-Scholes model and establishes the Black-Scholes formula. It recalls the standard machinery of solving the parabolic PDE which is...

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....

We consider the appointment scheduling problem, which determines the job allowance over the planning horizon. In particular, we study a simple but effective scheduling policy -- the so-called plateau policy, which allocates a constant job allowance for each appointment. Prior studies on...

Numerical standard error (NSE) is an estimate of the standard deviation of a simulation result if the simulation experiment were to be repeated many times. We review standard methods for computing NSE, and perform a Monte Carlo experiments to compare their performance in the case of high/extreme...

The problem of periodic flow of an incompressible fluid through a pipe, which is driven by an oscillating pressure gradient (. a reciprocating piston), is investigated in the case of a large Reynolds number. This process is described by a singularly perturbed parabolic equation with a periodic...

Two general procedures for computing eigenvalues and error estimates in Sturm-Liouville problems based upon the shooting technique are considered. The proposed methods have a low computational cost and the error estimates can be employed to improve the approximations obtained for the...