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Three point rules in numerical integration

Nonlinear Analysis: Theory, Methods & Applications, 2001
Identities and inequalities are obtained involving evaluations at an interior and at the end points. It is shown how previous work and rules in numerical integration are recaptured as particular instances of the current development. Explicit a pri-ori bounds are provided allowing the determination of the partition required for achieving a prescribed ...
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Integral Boundary Points of Convex Polyhedra

2003
Here is the story of how this paper was written. (a) Independently, Alan and Joe discovered this easy theorem: if the “right hand side” consists of integers, and if the matrix is “totally unimodular”, then the vertices of the polyhedron defined by the linear inequalities will all be integral. This is easy to prove and useful. As far as we know, this is
A. J. Hoffman, J. B. Kruskal
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Numerical Integration: Fixed-point Rules

1983
A recurring problem in science and engineering is to integrate a given function of one real variable. Such a function may be defined in one of two ways: by the approximate numerical values at a set of discrete points (numerically defined function) or by a formula (analytically defined function).
P. M. Dew, K. R. James
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The mechanisms of integral membrane protein biogenesis

Nature Reviews Molecular Cell Biology, 2021
Ramanujan Shankar Hegde, Robert J Keenan
exaly  

Counting integral points in polytopes

2009
Probleme, die sich durch das Zählen von ganzzahligen Punkten in Polytopen lösen lassen, treten in den unterschiedlichsten mathematischen Gebieten auf. Es ist das Anliegen der vorliegenden Arbeit, einige Methoden darzustellen, mit denen diesen Abzählproblemen begegnet werden kann.
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Integral points on curves

Publications mathématiques de l'IHÉS, 1960
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Physical activity counseling in primary care: Insights from public health and behavioral economics

Ca-A Cancer Journal for Clinicians, 2017
Kerem Shuval   +2 more
exaly  

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