In this paper we construct and develop two competitive implicit finite difference scheme for a deterministic mathematical model associated with the evolution of influenza A disease in human population. Qualitative dynamics of the model is determined by the basic reproduction number, R0....

A new algorithm is developed to solve models with heterogeneous agents and aggregate uncertainty that avoids some disadvantages of the prevailing algorithm that strongly relies on simulation techniques and is easier to implement than existing algorithms. A key aspect of the algorithm is a new...

The paper develops a method for solving heterogeneous agent models in which the distribution of characteristics across agents is a state variable and the distribution can be discontinuous at points that vary endogenously. The method extends the approach of [Tauchen, George and Robert Hussey,...

In this paper we analyze the convergence properties of the moving bounds algorithm to initialize the Parameterized Expectations Algorithm suggested by Maliar and Maliar (2003) [Journal of Business and Economic Statistics 1, pp. 88-92]. We carry out a Monte Carlo experiment to check its...

After reviewing the reasons to use solution methods in macroeconomics, this survey paper discusses different aspects relative to a rigorous use of the numerical output of such methods. Special attention is paid to suggestions that have been made to incorporate parameter uncertainty. Finally, the...