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High order integration schemes on the unit sphere
Author(s) -
Delley Bernard
Publication year - 1996
Publication title -
journal of computational chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.907
H-Index - 188
eISSN - 1096-987X
pISSN - 0192-8651
DOI - 10.1002/(sici)1096-987x(19960715)17:9<1152::aid-jcc7>3.0.co;2-r
Subject(s) - unit sphere , focus (optics) , unit (ring theory) , order (exchange) , numerical integration , computer science , symmetry (geometry) , mathematics , geometry , mathematical analysis , physics , economics , mathematics education , finance , optics
A method for refining high order numerical integration schemes is described. Particular focus is on integration schemes over the unit sphere with octahedral symmetry. The method is powerful enough that new integration schemes can be found from rough intuitive guesses. New schemes up to order 59 are presented. © 1996 by John Wiley & Sons, Inc.