Local Versus Global Decisions in Bayesian Automatic Adaptive Quadrature

Autor: Adam Gheorghe, Adam Sanda
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: EPJ Web of Conferences, Vol 226, p 01001 (2020)
Druh dokumentu: article
ISSN: 2100-014X
DOI: 10.1051/epjconf/202022601001
Popis: The paper reports new significant enhancement of the robustness and effectiveness of the Bayesian automatic adaptive quadrature over macroscopic integration ranges. The implementation of a classical m-panel rule (CC-32, Clenshaw-Curtis quadrature of algebraic degree of precision m = 32) is thought again. It involves new global and local decisions blocks which, on the one side, provide sharp diagnostics redirecting the advancement to the solution and, on the other side, take advantage of the progress in the available hardware to accelerate and to increase the accuracy of the computations. Where the decision power of CC-32 is exhausted, identification and precise characterization of the features of the integrand profile which prevent quick convergence are obtained by means of three-point Simpson rules spanned at triplets of successive CC-32 knots. This local complementary investigation tool provides scale insensitive diagnostics concerning the occurrence of integrand irregularities and prevents the activation of inappropriate decision blocks which would result in fake outputs.
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