Results 11 to 20 of about 15,386 (259)
Spherical harmonic projectors [PDF]
Mathematics of Computation, 2003 The harmonic projection (HP), which is implicit in the numerous harmonic transforms between physical and spectral spaces, is responsible for the reliability of the spectral method for modeling geophysical phenomena. As currently configured, the HP consists of a forward transform from physical to spectral space (harmonic analysis ...
Paul N. Swarztrauber, William F. Spotz
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An Approach for Predicting Global Ionospheric TEC Using Machine Learning
Remote Sensing, 2022 Accurate corrections for ionospheric total electron content (TEC) and early warning information are crucial for global navigation satellite system (GNSS) applications under the influence of space weather.
Jun Tang +3 more
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Fractal Spherical Harmonics [PDF]
International Journal of Analysis, 2013 This paper tackles the construction of fractal maps on the unit sphere. The functions defined are a generalization of the classical spherical harmonics. The methodology used involves an iterated function system and a linear and bounded operator of functions on the sphere.
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Frontiers in Physics, 2021 Particle morphology is a fundamental inherent property that substantially affects the macroscopic behavior of granular materials. The division and separation of particle morphology at different scale levels contributes to the further multiscale ...
Hui Liang +3 more
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Symmetries of Spherical Harmonics [PDF]
Transactions of the American Mathematical Society, 1975 Let G G be a group of linear transformations of
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Spherical Harmonic Transform with GPUs [PDF]
, 2012 We describe an algorithm for computing an inverse spherical harmonic transform suitable for graphic processing units (GPU). We use CUDA and base our implementation on a Fortran90 routine included in a publicly available parallel package, S2HAT. We focus our attention on the two major sequential steps involved in the transforms computation, retaining ...
Hupca, Ioan Ovidiu +3 more
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Notes on continuity result for conformable diffusion equation on the sphere: The linear case
Demonstratio Mathematica, 2022 In this article, we are interested in the linear conformable diffusion equation on the sphere. Our main goal is to establish some results on the continuity problem with respect to fractional order.
Nguyen Van Tien
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Visual Informatics, 2022 We propose a novel interactive lighting editing system for lighting a single indoor RGB image based on spherical harmonic lighting. It allows users to intuitively edit illumination and relight the complicated low-light indoor scene.
Zhongyun Bao +3 more
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Ladder Operators for the Spherical 3D Harmonic Oscillator [PDF]
Revista Brasileira de Ensino de Física, 2020 The Schrödinger equation for an isotropic three-dimensional harmonic oscillator is solved using ladder operators. The starting point is the shape invariance condition, obtained from supersymmetric quantum mechanics.
João Marcos Costa Monteiro +1 more
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Monopole vector spherical harmonics [PDF]
Physical Review D, 1994 Eigenfunctions of total angular momentum for a charged vector field interacting with a magnetic monopole are constructed and their properties studied. In general, these eigenfunctions can be obtained by applying vector operators to the monopole spherical harmonics in a manner similar to that often used for the construction of the ordinary vector ...
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