2026-06-01T19:44:50Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/502892025-02-17T13:12:07Zcom_20.500.14352_14col_20.500.14352_15

Factorization of second-order elliptic boundary value problems by dynamic programming. Henry, Jacques Ramos Del Olmo, Ángel Manuel 517.95 Factorization Boundary value problem Riccati equation Invariant embedding Neumann-to-Dirichlet (NtD) operator Dirichlet-to-Neumann (DtN) operator Análisis matemático 1202 Análisis y Análisis Funcional 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. Ministerio de Ciencia y Tecnología of Spain Ramón y Cajal Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas Instituto de Matemática Interdisciplinar (IMI) TRUE pub 2023-06-20T09:44:45Z 2023-06-20T09:44:45Z 2004 journal article https://hdl.handle.net/20.500.14352/50289 0362-546X 10.1016/j.na.2004.05.022 eng HP02-90 restricted access application/pdf Elsevier