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Relevant bibliographies by topics / Spherical harmonic synthesis and analysis

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Journal articles

Academic literature on the topic 'Spherical harmonic synthesis and analysis'

Author: Grafiati

Published: 4 June 2021

Last updated: 11 February 2022

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Journal articles on the topic "Spherical harmonic synthesis and analysis"

1

Xiao, Huadong, and Yang Lu. "Parallel computation for spherical harmonic synthesis and analysis." Computers & Geosciences 33, no. 3 (2007): 311–17. http://dx.doi.org/10.1016/j.cageo.2006.07.005.

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2

Blais, J. A. R., and D. A. Provins. "Spherical harmonic analysis and synthesis for global multiresolution applications." Journal of Geodesy 76, no. 1 (2002): 29–35. http://dx.doi.org/10.1007/s001900100217.

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3

Blais, J. "Discrete Spherical Harmonic Transforms of Nearly Equidistributed Global Data." Journal of Geodetic Science 1, no. 3 (2011): 251–58. http://dx.doi.org/10.2478/v10156-011-0003-1.

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Discrete Spherical Harmonic Transforms of Nearly Equidistributed Global DataDiscrete Spherical Harmonic Transforms (SHTs) are commonly defined for equiangular grids on the sphere. However, when global array data exhibit near equidistributed patterns rather than equiangular grids, discrete SHTs require appropriate adaptations for analysis and synthesis. Computational efficiency and reliability impose structural constraints on possible equidistribution characteristics of data patterns such as for instance with Chebychev quadratures and Fast Fourier Transforms (FFTs). Following some general intro

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4

Hwang, Cheinway, and Yu-Chi Kao. "Spherical harmonic analysis and synthesis using FFT: Application to temporal gravity variation." Computers & Geosciences 32, no. 4 (2006): 442–51. http://dx.doi.org/10.1016/j.cageo.2005.07.006.

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5

Wittwer, Tobias, Roland Klees, Kurt Seitz, and Bernhard Heck. "Ultra-high degree spherical harmonic analysis and synthesis using extended-range arithmetic." Journal of Geodesy 82, no. 4-5 (2007): 223–29. http://dx.doi.org/10.1007/s00190-007-0172-y.

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6

Blais, J. "Discrete Spherical Harmonic Transforms for Equiangular Grids of Spatial and Spectral Data." Journal of Geodetic Science 1, no. 1 (2011): 9–16. http://dx.doi.org/10.2478/v10156-010-0002-7.

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Discrete Spherical Harmonic Transforms for Equiangular Grids of Spatial and Spectral DataSpherical Harmonic Transforms (SHTs) which are non-commutative Fourier transforms on the sphere are critical in global geopotential and related applications. Among the best known global strategies for discrete SHTs of band-limited spherical functions are Chebychev quadratures and least squares for equiangular grids. With proper numerical preconditioning, independent of latitude, reliable analysis and synthesis results for degrees and orders over 3800 in double precision arithmetic have been achieved and ex

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7

Tenzer, Robert, Peter Vajda, and Peter Hamayun. "A mathematical model of the bathymetry-generated external gravitational field." Contributions to Geophysics and Geodesy 40, no. 1 (2010): 31–44. http://dx.doi.org/10.2478/v10126-010-0002-8.

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A mathematical model of the bathymetry-generated external gravitational field The currently available global geopotential models and the global elevation and bathymetry data allow modelling the topography-corrected and bathymetry stripped reference gravity field to a very high spectral resolution (up to degree 2160 of spherical harmonics) using methods for a spherical harmonic analysis and synthesis of the gravity field. When modelling the topography-corrected and crust-density-contrast stripped reference gravity field, additional stripping corrections are applied due to the ice, sediment and

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8

Chen, Wenjin, and Robert Tenzer. "Reformulation of Parker–Oldenburg's method for Earth's spherical approximation." Geophysical Journal International 222, no. 2 (2020): 1046–73. http://dx.doi.org/10.1093/gji/ggaa200.

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SUMMARY Parker–Oldenburg's method is perhaps the most commonly used technique to estimate the depth of density interface from gravity data. To account for large density variations reported, for instance, at the Moho interface, between the ocean seawater density and marine sediments, or between sediments and the underlying bedrock, some authors extended this method for variable density models. Parker–Oldenburg's method is suitable for local studies, given that a functional relationship between gravity data and interface geometry is derived for Earth's planar approximation. The application of th

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9

D'Agostino, Luca, and Christopher E. Brennen. "Linearized dynamics of spherical bubble clouds." Journal of Fluid Mechanics 199 (February 1989): 155–76. http://dx.doi.org/10.1017/s0022112089000339.

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The present work investigates the dynamics of the one-dimensional, unsteady flow of a spherical bubble cloud subject to harmonic far-field pressure excitation. Bubble dynamics effects and energy dissipation due to viscosity, heat transfer, liquid compressibility and relative motion of the two phases are included. The equations of motion for the average flow and the bubble radius are linearized and a closed-form solution is obtained. The results are then generalized by means of Fourier synthesis to the case of arbitrary far-field pressure excitation. The flow displays various regimes (sub-reson

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10

Tenzer, Robert. "Inverse problem for the gravimetric modeling of the crust-mantle density contrast." Contributions to Geophysics and Geodesy 43, no. 2 (2013): 83–98. http://dx.doi.org/10.2478/congeo-2013-0006.

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Abstract The gravimetric inverse problem for finding the Moho density contrast is formulated in this study. The solution requires that the crust density structure and the Moho depths are a priori known, for instance, from results of seismic studies. The relation between the isostatic gravity data (i.e., the complete-crust stripped isostatic gravity disturbances) and the Moho density contrast is defined by means of the Fredholm integral equation of the first kind. The closed analytical solution of the integral equation is given. Alternative expressions for solving the inverse problem of isostas

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