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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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Computing volumes of polyhedra
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by Eugene L. Allgower and Phillip H. Schmidt PDF
Math. Comp. 46 (1986), 171-174 Request permission

Abstract:

In this note we give two simple methods for calculating the volume of any closed bounded polyhedron in ${{\mathbf {R}}^n}$ having an orientable boundary which is triangulated into a set of $(n - 1)$-dimensional simplices. The formulas given require only coordinates of the vertices of the polyhedron.
References
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Math. Comp. 46 (1986), 171-174
  • MSC: Primary 51M25; Secondary 26B15, 65D32
  • DOI: https://doi.org/10.1090/S0025-5718-1986-0815838-7
  • MathSciNet review: 815838