Abstract
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.
Keywords
Unit sphereFocus (optics)Unit (ring theory)Order (exchange)Numerical integrationComputer scienceSymmetry (geometry)Applied mathematicsMathematicsGeometryMathematical analysisPhysics
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Publication Info
- Year
- 1996
- Type
- article
- Volume
- 17
- Issue
- 9
- Pages
- 1152-1155
- Citations
- 57
- Access
- Closed
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Cite This
B. Delley
(1996).
High order integration schemes on the unit sphere.
Journal of Computational Chemistry
, 17
(9)
, 1152-1155.
https://doi.org/10.1002/(sici)1096-987x(19960715)17:9<1152::aid-jcc7>3.0.co;2-r
Identifiers
- DOI
- 10.1002/(sici)1096-987x(19960715)17:9<1152::aid-jcc7>3.0.co;2-r