A fast algorithm for the moments of Bingham distribution

DOI10.1007/s10915-017-0589-2zbMath1499.65070arXiv1612.01015OpenAlexW2560181475MaRDI QIDQ1651318

Jie Xu, Pingwen Zhang, Yixiang Luo

Publication date: 12 July 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.01015

zbMATH Keywords

directional dataliquid crystalsBingham distributionpiecewise rational approximation

Mathematics Subject Classification ID

Computational methods for problems pertaining to probability theory (60-08) Probability distributions: general theory (60E05) Computation of special functions and constants, construction of tables (65D20) Numerical approximation and evaluation of special functions (33F05)

Related Items (3)

A fast Chebyshev method for the Bingham closure with application to active nematic suspensions ⋮ Quasi-entropy by log-determinant covariance matrix and application to liquid crystals ⋮ \(Q\)-tensor gradient flow with quasi-entropy and discretizations preserving physical constraints

Cites Work

• On the use of the Bingham statistical distribution in microsphere-based constitutive models for arterial tissue
• Crucial properties of the moment closure model FENE-QE
• The Bingham distribution of quaternions and its spherical Radon transform in texture analysis
• An antipodally symmetric distribution on the sphere
• From microscopic theory to macroscopic theory: a systematic study on modeling for liquid crystals
• Saddlepoint approximations for the normalizing constant of Fisher-Bingham distributions on products of spheres and Stiefel manifolds
• Spectral Methods
• Asymptotic Expansions for the Bingham Distribution
• On the Disclination Lines of Nematic Liquid Crystals
• Saddlepoint approximations for the Bingham and Fisher–Bingham normalising constants
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