Recursive Gauss integration

Recursive Gauss integration

This article introduces quadtree and octree like methods into the calculation of multiple integrals by Gauss quadrature formulas. In contrast with the usual method of solving the n‐dimensional integral by n separate integrations this method splits the n‐dimensional region of integration recursively...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Communications in numerical methods in engineering 1999-02, Vol.15 (2), p.77-90
1. Verfasser: Pieper, Wilhelm M.
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Gauss
integration
Mathematical methods in physics
multidimensional
numerical
Numerical approximation and analysis
Numerical differentiation and integration
octrees
Physics
recursive
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:This article introduces quadtree and octree like methods into the calculation of multiple integrals by Gauss quadrature formulas. In contrast with the usual method of solving the n‐dimensional integral by n separate integrations this method splits the n‐dimensional region of integration recursively into smaller n‐dimensional regions until the accuracy is locally reached. Copyright © 1999 John Wiley & Sons, Ltd.
ISSN:1069-8299
1099-0887
DOI:10.1002/(SICI)1099-0887(199902)15:2<77::AID-CNM223>3.0.CO;2-J