Results 211 to 220 of about 66,487 (261)

Spherical Geometry

Studies in the History of Mathematics and Physical Sciences, 1988
B A Rosenfeld
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Spherical Geometry

Graduate Texts in Mathematics, 1994
John G Ratcliffe, Ratcliffe John G
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Spherical Geometry

2006
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Spherical Geometries and Multigroups

Canadian Journal of Mathematics, 1950
1. 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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Stability and mix in spherical geometry

Physical Review Letters, 1990
Summary: We consider a spherical system composed of \(N\) concentric fluid shells having perturbations of amplitude at interface \(\eta_ i\), \( i=1, 2,\cdots , N-1\). For arbitrary implosion-explosion histories \(R_ i(t)\), we present the set of \(N-1\) second-order differential equations describing the time evolution of the \(\eta_ i\) which are ...
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A Pseudospectral Approach for Polar and Spherical Geometries

SIAM Journal on Scientific Computing, 1995
Summary: The singularities that arise in polar and spherical coordinates have in the past caused significant difficulties in obtaining accurate solutions to convection-diffusion-type problems in many fields (astrophysics, geophysics, meteorology, etc.). Viewing pseudospectral methods as a limiting case of finite difference methods (rather than as based
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Spherical Geometries

2023
Edzer Pebesma, Roger Bivand
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Convection in Spherical Geometries

1985
Under well-defined conditions systems with many degrees of freedom like lasers, plasmas and fluids show irregular behaviour in their time evolution. These chaotic motions are usually produced by few degrees of freedom only and the basic question arises how to determine these relevant variables and to describe their dynamics.
R. Friedrich, H. Haken
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Modons in spherical geometry

Geophysical & Astrophysical Fluid Dynamics, 1984
Abstract The analytical form of equivalent modons in spherical geometry is derived along with the dispersion relationship relating the modon frequency, spatial extent and interior wavenumber. The structure of equivalent modons in spherical geometry is more asymmetric as the geographic pole is approached, thus giving improved kinematic agreement with ...
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Dynamo Problems in Spherical and Nearly Spherical Geometries

2001
Hybrid vector spherical harmonic / poloidal-toroidal spherical spectral forms of the linearised magnetohydroynamic equations are described. The equations are highly structured with relatively few terms and form the basis of computer codes, which implement a wide range of dynamo problems in spherical and nearly spherical geometries.
D. J. Ivers, C. G. Phillips
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