Results 271 to 280 of about 91,388 (321)

Modified Spherical Harmonics

Advances in Applied Clifford Algebras, 2016
Let \(\Delta\) be the Laplace operator in \(\mathbb R^3\) with the coordinates \((x,y,t)\). The author is interested in the solutions of the equation \[ t \Delta v + \frac{\partial v}{\partial t} =0 \tag{1} \] which is a particular case of the equation \[ t \Delta v+ \lambda \frac{\partial v}{\partial t} =0 ,\tag{2} \] with \(\lambda\) real ...
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Spherical Harmonics

1998
Abstract J 28.] The mathematical theory of spherical harmonics has been made the subject of several special treatises. The Handbuch <ler Kuge(functionen of Dr. E. Heine, which is the most elaborate work on the subject, has now (1878) reached a second edition in two volumes, and Dr. F. Neumann has published his Beitrage zur Theorie
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On the Relation Between Spherical Harmonics and Simplified Spherical Harmonics Methods

Transport Theory and Statistical Physics, 2010
The purpose of the paper is, first, to recall the proof that the AN method and, therefore, the SP2N−1 method (of which AN was shown to be a variant) are equivalent to the odd order P2N−1, at least for a particular class of multi-region problems; namely the problems for which the total cross section has the same value for all the regions and the ...
COPPA, Gianni   +3 more
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Tensor spherical harmonics and tensor spherical splines

manuscripta geodaetica, 1994
In this paper, we deal with the problem of spherical interpolation of discretely given data of tensorial type. To this end, spherical tensor fields are investigated and a decomposition formula is described. Tensor spherical harmonics are introduced as eigenfunctions of a tensorial analogon to the Beltrami operator and discussed in detail.
Freeden, Willi   +2 more
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SPHERICAL HARMONIC DEFORMATION

Journal of Petroleum Geology, 1979
A radically new method of structural analysis is proposed which relates the deformation of all rocks to a three‐dimensional model of close‐packed spheres and deformation ellipsoids. All rocks exist under variable stress conditions and are deformed, but the principles of three‐dimensional deformation are poorly understood by many geologists and ...
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Spherical Harmonics

2019
Julian Schwinger   +3 more
  +4 more sources

Spherical Harmonics.

The American Mathematical Monthly, 1928
M. H. Stone, T. M. MacRobert
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