Solving Euler equations: classical methods and the C¹ contraction mapping method revisited

In this paper we describe the classical methods used to solve the Euler equations. Special attention is devoted to the iterative method based on a contraction mapping derived from these equations in Maldonado and Moreira (2003). We test the numerical robustness of this method when it is used in mode...

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Bibliographic Details
Main Authors: Wilfredo L. Maldonado, Humberto Moreira
Format: Article
Language:English
Published: Fundação Getúlio Vargas 2006-06-01
Series:Revista Brasileira de Economia
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0034-71402006000200004
Description
Summary:In this paper we describe the classical methods used to solve the Euler equations. Special attention is devoted to the iterative method based on a contraction mapping derived from these equations in Maldonado and Moreira (2003). We test the numerical robustness of this method when it is used in models with sensitiveness to initial conditions. Finally we extend the method to the case of stochastic Euler equations.<br>Neste artigo descrevemos os métodos clássicos utilizados para resolver as equações de Euler. Dedicamos atenção especial ao método iterativo construí do a partir dessas equações, descrito em Maldonado and Moreira (2003). Isto é feito com o intuito de testar a sua robustez em modelos que apresentam sensibilidade às condi cões iniciais e finalmente, estender o método para o caso de equações de Euler estocásticas.
ISSN:0034-7140
1806-9134