on approximating Dsge models by series expansions

Abstract:- Our aim is to give a method for the determination of the power series expansion of the solution of the initial value problem of nonlinear ordinary differential equations. Key-Words:- Nonlinear ordinary differential equation, initial value problem, series expansion 1

this paper we shall describe the Lindstedt series together with a natural quasi-periodic series expansion, and we shall explain why it is absolutely divergent. We shall then describe a large class of compensations for the terms in the series expansion, and by taking into account these compensations

We reconsider the theory of Appèl polynomials using an operational point of view. We introduce the Appèl complementary forms and show that they can be exploited to derive general criteria to get the expansion of a given function in terms of the above polynomial families. We discuss the case

Abstract. The Bethe approximation is a successful method for approximating partition functions of probabilistic models associated with a graph. Recently, Chertkov and Chernyak derived an interesting formula called “Loop Series Expansion”, which is an expansion of the partition function. The main

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