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The boundary layer problem in Bayesian adaptive quadrature

2006/09/25 by Gh. Adam, Adam, Gh., S. Adam +1
Engineering · Environmental Science · Mathematics · Physics and Astronomy · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Numerical methods in inverse problems #Radiative Heat Transfer Studies #Wind and Air Flow Studies #physics.comp-ph

paper · pdf · doi:10.48550/arxiv.physics/0609223

11 pages, 1 .eps figure. Presented at MMCP 2006 Conference, Slovakia, Aug. 28 - Sept. 01, 2006, Submitted to PEPAN Letters

arxiv created 2006/09/25 · openalex publication_date 2006/09/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The boundary layer of a finite domain [a, b] covers mesoscopic lateral neighbourhoods, inside [a, b], of the endpoints a and b. The correct diagnostic of the integrand behaviour at a and b, based on its sampling inside the boundary layer, is the first from a set of hierarchically ordered criteria allowing a priori Bayesian inference on efficient mesh generation in automatic adaptive quadrature.

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