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Factorization of second-order elliptic boundary value problems by dynamic programming.

Authors :
Henry, Jacques
Ramos del Olmo, Ángel Manuel
Henry, Jacques
Ramos del Olmo, Ángel Manuel
Publication Year :
2004

Abstract

We present a method to factorize a second-order boundary value problem in a cylindrical domain in a system of uncoupled first-order initial value problems, together with a nonlinear Riccati-type equation for functional operators. This uncoupling is obtained by a space invariant embedding technique along the axis of the cylinder. This method can be viewed as an infinite-dimensional generalization of the block Gauss LU factorization.<br />Ministerio de Ciencia y Tecnología of Spain<br />Ramón y Cajal<br />Depto. de Análisis Matemático y Matemática Aplicada<br />Fac. de Ciencias Matemáticas<br />Instituto de Matemática Interdisciplinar (IMI)<br />TRUE<br />pub

Details

Database :
OAIster
Notes :
application/pdf, 0362-546X, English
Publication Type :
Electronic Resource
Accession number :
edsoai.on1468721622
Document Type :
Electronic Resource