What every computer scientist should know about floating-point arithmetic
ACM Computing Surveys (CSUR)
Numerical recipes in FORTRAN (2nd ed.): the art of scientific computing
Numerical recipes in FORTRAN (2nd ed.): the art of scientific computing
Floating point degree of precision in numerical quadrature
MMCP'11 Proceedings of the 2011 international conference on Mathematical Modeling and Computational Science
Floating point degree of precision in numerical quadrature
MMCP'11 Proceedings of the 2011 international conference on Mathematical Modeling and Computational Science
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The progress obtained within the Bayesian approach to the automatic adaptive quadrature is reviewed. It is shown that the derivation of reliable Bayesian inferences, both as it concerns the construction of the subrange binary tree with its associated priority queue and the a priori validation of the input to the local quadrature rules, can be done provided the well-conditioning criteria for the integrand profile check are implemented taking into account the hardware and software environments at hand.