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RECURSIVE MULTIDIMENSIONAL INTEGRATION
Author(s) -
PIEPER WILHELM M.
Publication year - 1997
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19970530)40:10<1923::aid-nme151>3.0.co;2-2
Subject(s) - octree , quadrilateral , numerical integration , tetrahedron , quadtree , mathematics , algorithm , order of integration (calculus) , work (physics) , geometry , computer science , mathematical analysis , finite element method , physics , engineering , structural engineering , thermodynamics
This article introduces quadtree and octree like methods to numerical integration. Four recursive and auto‐adaptive algorithms are presented: one for two‐dimensional integrals over a triangular region, one for two‐dimensional integrals over a quadrilateral region, one for three‐dimensional integrals over a tetrahedral region and one for three‐dimensional integrals over a cubic region. The algorithms have been proven to work fast. © 1997 John Wiley & Sons, Ltd.