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Approximations on SO(3) by Wigner D-matrix and Applications

Approximations on SO(3) by Wigner D-matrix and Applications We consider approximations on SO(3) by Wigner D-matrix. We establish basic approximation properties of Wigner D-matrix, develop efficient numerical schemes using Wigner D-matrix for elliptic and parabolic equations on SO(3), and establish corresponding optimal error estimates. Numerical examples are presented to validate the theoretical estimates and illustrate a physical application. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Scientific Computing Springer Journals

Approximations on SO(3) by Wigner D-matrix and Applications

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References (23)

Publisher
Springer Journals
Copyright
Copyright © 2017 by Springer Science+Business Media, LLC
Subject
Mathematics; Algorithms; Computational Mathematics and Numerical Analysis; Mathematical and Computational Engineering; Theoretical, Mathematical and Computational Physics
ISSN
0885-7474
eISSN
1573-7691
DOI
10.1007/s10915-017-0515-7
Publisher site
See Article on Publisher Site

Abstract

We consider approximations on SO(3) by Wigner D-matrix. We establish basic approximation properties of Wigner D-matrix, develop efficient numerical schemes using Wigner D-matrix for elliptic and parabolic equations on SO(3), and establish corresponding optimal error estimates. Numerical examples are presented to validate the theoretical estimates and illustrate a physical application.

Journal

Journal of Scientific ComputingSpringer Journals

Published: Aug 2, 2017

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