On a Fortran procedure for rotating spherical-harmonic coefficients
نویسندگان
چکیده
منابع مشابه
A fast and stable method for rotating spherical harmonic expansions
In this paper, we present a simple and efficient method for rotating a spherical harmonic expansion. This is a well-studied problem, arising in classical scattering theory, quantum mechanics and numerical analysis, usually addressed through the explicit construction of the Wigner rotation matrices. We show that rotation can be carried out easily and stably through ‘‘pseudospectral” projection, ...
متن کاملA Scale-up Design Procedure for Rotating Biological Contactors
A scale-up design procedure, based on a new physical mass transfer (PMT) model, whichdescribes the performance, for aerobic rotating biological contactors (RBC’s) is developed. This scale-up procedure can be used to determine the disc surface area needed to prevent an oxygen limitation or to obtain a specific degree of treatment. In contrast to the empirical, and most previous RBC performance m...
متن کاملRecursive computation of spherical harmonic rotation coefficients of large degree
Computation of the spherical harmonic rotation coefficients or elements of Wigner’s dmatrix is important in a number of quantum mechanics and mathematical physics applications. Particularly, this is important for the Fast Multipole Methods in three dimensions for the Helmholtz, Laplace and related equations, if rotation-based decomposition of translation operators are used. In these and related...
متن کاملSpherical Harmonic Decomposition on a Cubic Grid
A method is described by which a function defined on a cubic grid (as from a finite difference solution of a partial differential equation) can be resolved into spherical harmonic components at some fixed radius. This has applications to the treatment of boundary conditions imposed at radii larger than the size of the grid, following Abrahams, Rezzola, Rupright et al. [1]. In the method describ...
متن کاملA new subclass of harmonic mappings with positive coefficients
Complex-valued harmonic functions that are univalent and sense-preserving in the open unit disk $U$ can be written as form $f =h+bar{g}$, where $h$ and $g$ are analytic in $U$. In this paper, we introduce the class $S_H^1(beta)$, where $1<betaleq 2$, and consisting of harmonic univalent function $f = h+bar{g}$, where $h$ and $g$ are in the form $h(z) = z+sumlimits_{n=2}^inf...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Celestial Mechanics and Dynamical Astronomy
سال: 2010
ISSN: 0923-2958,1572-9478
DOI: 10.1007/s10569-010-9293-3