Results 51 to 60 of about 334,564 (72)

Tensor Spherical Harmonics and Tensor Spherical Splines

, 1993
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.
Gervens, T., Schreiner, Michael, Freeden, Willi   +2 more
core   +2 more sources

Spherical Cap Harmonics Revisited and their Relationship to Ordinary Spherical Harmonics

, 1999
The "global" representation of the geomagnetic field in terms of ordinary spherical harmonics (SHs) and its corresponding set {g,h} of coefficients has been studied extensively, but the "local" representation in terms of spherical cap harmonics (SCHs ...
Torta, J. M., Lowes, F. J., De Santis, A.   +2 more
core   +2 more sources

Spherical harmonics and spherical averages of Fourier transforms

, 2002
We give estimates for spherical averages of Fourier transforms of functions which are linear combinations of products of radial functions and spherical harmonics. This generalizes the case of radial functions.
Sjölin, Per,
core   +6 more sources

Connection Formulae between Ellipsoidal and Spherical Harmonics with Applications to Fluid Dynamics and Electromagnetic Scattering

Advances in Mathematical Physics, 2015
The environment of the ellipsoidal system, significantly more complex than the spherical one, provides the necessary settings for tackling boundary value problems in anisotropic space.
Michael Doschoris, Panayiotis Vafeas
doaj   +1 more source

Rotation of real spherical harmonics

, 2019
In many physical problems, such as the calculation of interactions between multipoles, the rotation of spherical harmonics is necessary. In this paper, a computer program for the rotation of real spherical harmonics is reported.
Jaime Fernández Rico (6995720), Guillermo Ramírez (6995723), Rafael López (4728336), José Ramón Álvarez Collado (8091443), Miguel Paniagua (7328510)   +4 more
core   +1 more source

Compilation of the regional quasigeoid model for New Zealand using the discretised integral-equation approach

Journal of Geodetic Science, 2012
We evaluate the new regional quasigeoid model (OTG12) for New Zealand using the method which utilises the discretised integral equation approach for computing the near-zone contribution.
Abdalla A., Tenzer R.
doaj   +1 more source

A concise way to generate expressions for spherical harmonics [PDF]

Revista Brasileira de Ensino de Física
This paper presents a concise way to approach spherical harmonics. Deriving expressions for spherical harmonics from basic angular-momentum algebra is natural but cumbersome in detail.
Alexey E. Rastegin
doaj   +2 more sources

Scalable Spherical Harmonics Hierarchies

, 2020
Scalable Spherical Harmonics Hierarchies (SSPHH) is a real-time rendering solution to the global illumination problem. Our novel method is a system of components that enables the computation of light probes and the conversion to spherical harmonics ...
Metzgar, Jonathan B., Sudhanshu K., Semwal   +1 more
core   +1 more source

Method for prediction and control by uncertain microsatellite magnetic cleanliness based on calculation and compensation magnetic field spatial harmonics

Electrical engineering & Electromechanics
Aim. Development of method for prediction and control the microsatellite magnetic cleanliness taking into account the uncertainties of the magnetic characteristics of the microsatellite, based on calculation the magnetic field spatial spherical harmonics
B. I. Kuznetsov, T. B. Nikitina, I. V. Bovdui, K. V. Chunikhin, V. V. Kolomiets, B. B. Kobylianskyi   +5 more
doaj   +1 more source

New relationships between spherical and spheroidal harmonics and applications

, 2016
This thesis deals with solutions to Laplace's equation in 3D, finding new relationships between solutions, manipulating these to find new approaches to physical problems, and proposing a new class of solutions.
Matt Majic (8512107), Majic, Matt
core   +1 more source