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Dynamics of a terrestrial magma ocean under planetary rotation: A study in spherical geometry
Earth and Planetary Science Letters, 2019During a later stage of the Earth's accretion, impacts of mars-sized bodies on the Earth caused one or more deep terrestrial magma oceans of global extent.
C. Maas, U. Hansen
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Spherical geometry, Zernike’s separability, and interbasis expansion coefficients
Journal of Mathematics and Physics, 2019Free motion on a 3-sphere, properly projected on the 2-dimensional manifold of a disk, yields the Zernike system, which exhibits the fundamental properties of superintegrability.
N. Atakishiyev +3 more
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On the PN Method in Spherical Geometry: A Stable Solution for the Exterior of a Sphere
Journal of Computational and Theoretical Transport, 2018A numerically stable version of the PN method for solving the one-speed problem of neutron transport in the exterior of a sphere is developed. A transformation is used to obtain a plane-geometry-like neutron transport equation, where the angular ...
R. Garcia
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One-dimensional P1 method for gas radiation heat transfer in spherical geometry
, 2019Radiation heat transfer is important in spherical flame modeling, such as to determine the flame speed. It is beneficial to use one-dimensional (1D) model to solve the three-dimensional problems with spherical symmetry, while little work reports the 1D ...
Yujia Sun +4 more
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Reactive diffusion and stresses in spherical geometry
Acta Materialia, 2012Zoltán Erdélyi
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SGFormer: Spherical Geometry Transformer for 360 Depth Estimation
arXiv.orgPanoramic distortion poses a significant challenge in 360 depth estimation, particularly pronounced at the north and south poles. Existing methods either adopt a bi-projection fusion strategy to remove distortions or model long-range dependencies to ...
Junsong Zhang +6 more
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Spherical Geometries and Multigroups
Canadian Journal of Mathematics, 19501. Introduction. The notion spherical geometry is suggested by the familiar geometry of the Euclidean 2-sphere in which the role of path is played by “arc of great circle”. The first postulational treatment of the subject seems to be that of Halsted [10] for the two-dimensional case.
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Neural field theory of evoked response potentials in a spherical brain geometry.
Physical Review E, 2019Evoked response potentials (ERPs) are calculated in spherical and planar geometries using neural field theory of the corticothalamic system. The ERP is modeled as an impulse response and the resulting modal effects of spherical corticothalamic dynamics ...
K. Mukta, Xiao Gao, P. Robinson
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Characterizing student mathematics teachers’ levels of understanding in spherical geometry
International Journal of Mathematical Education in Science and Technology, 2010BÜlent Guven
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