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

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Henry, Jacques and Ramos del Olmo, Ángel Manuel (2004) Factorization of second-order elliptic boundary value problems by dynamic programming. Nonlinear Analysis: Theory, Methods & Applications, 59 (5, A). pp. 629-647. ISSN 0362-546X

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Official URL: http://www.sciencedirect.com/science/article/pii/S0362546X04002469


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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.


Item Type:Article
Uncontrolled Keywords:Factorization; Boundary value problem; Riccati equation; Invariant embedding; Neumann-to-Dirichlet (NtD) operator; Dirichlet-to-Neumann (DtN) operator
Subjects:Sciences > Mathematics > Mathematical analysis
ID Code:17710
Deposited On:16 Jan 2013 11:29
Last Modified:12 Dec 2018 15:07

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