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B Guo, L Wang (2001)
Jacobi interpolation approximations and their applications to singular differential equationsAdv. Comput. Math., 14
S Sircar, Q Wang (2008)
Shear-induced mesostructures in biaxial liquid crystalsPhys. Rev. E, 78
Q Liang, J Li, P Zhang, JZY Chen (2013)
Modified diffusion equation for the wormlike-chain statistics in curvilinear coordinatesJ. Chem. Phys., 138
NJ Vilenkin (1968)
Special Functions and the Theory of Group Representations (Translations of Mathematical Monographs)
A Quarteroni, A Valli (2008)
Numerical Approximation of Partial Differential Equations
C Canuto, A Quarteroni (1982)
Approximation results for orthogonal polynomials in Sobolev spacesMath. Comp., 38
EP Wigner (1959)
Group Theory and its Application to the Quantum Mechanics of Atomic Spectra
M Doi, SF Edwards (1986)
The Theory of Polymer Dynamics
S Sircar, Q Wang (2009)
Dynamics and rheology of biaxial liquid crystal polymers in shear flowJ. Rheol., 53
T Funkhouser, P Min, M Kazhdan, J Chen, A Halderman, D Dobkin, D Jacobs (2003)
A search engine for 3D modelsACM Trans. Gr., 22
GS Chirikjian, AB Kyatkin (2001)
Engineering Applications of Noncommutative Harmonic Analysis: With Emphasis on the Rotation and Motion Groups
D Gottlieb, SA Orszag (1977)
Numerical Analysis of Spectral Methods: Theory and Applications
PJ Kostelec, DN Rockmore (2008)
FFTs on the rotation groupJ. Fourier Anal. Appl., 14
DP Zelobenko (1973)
Compact Lie Groups and their Representations (Translations of Mathematical Monographs)
RA Adams (1975)
Soblov Spaces
GH Fredrickson (2006)
The Equilibrium Theory of Inhomogeneous Polymers
JA Kovacs, W Wriggers (2002)
Fast rotational matchingActa Crystallogr. Sect. D, 58
HO Kreiss, J Oliger (1979)
Stability of the Fourier methodSIAM J. Numer. Anal., 16
S Sircar, J Li, Q Wang (2010)
Biaxial phases of bent-core liquid crystal polymers in shear flowsCommun. Math. Sci., 8
B Guo, L Wang (2004)
Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spacesJ. Approx. Theory, 128
Q Liang, S Ye, P Zhang, JZY Chen (2014)
Rigid linear particles confined on a spherical surface: phase diagram of nematic defect statesJ. Chem. Phys., 141
BD Wandelt, KM Górski (2001)
Fast convolution on the spherePhys. Rev. D, 63
H Yamakawa, T Yoshizaki (2016)
Helical Wormlike Chains in Polymer Solutions
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 of Scientific Computing – Springer Journals
Published: Aug 2, 2017
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