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Special attention is paid to the pole problem.
Some of the configurations, in addition to overcoming the pole problem, have very attractive resolution properties in the polar regions.
The method requiresO N2logN) operations forO N2) grid points, as opposed toO N3) operations for the standard spectral transform method, providing a reduced-complexity spectral method obviating the pole problem in the integration of time-dependent partial differential equations on the sphere.
The pole problem can be overcome by using grid systems with quasi-homogeneous grids over the sphere.
The SD-WACCM has some limitation that during SSW, due to "cold pole problem," the change of temperature and wind is not reliable below ~45 km.
Middle atmosphere GCMs have been notorious for their inability to simulate the cold summer mesopause - the so-called 'cold pole problem'.
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The most popular spatial discretization method used in global atmospheric models is currently the spectral transform method, which generates high-order numerical solutions and provides an elegant solution to the pole problems induced by a spherical coordinate system.
Another headline - 'Brit Poles "problem"' (19 January) informed readers 'that a top British diplomat in Poland' believed 'that most Poles did not integrate into their community'.
The central idea in the proposed approach consists in reformulating the original robust pole placement problem into an equivalent robust stabilization problem involving highly structured controller and uncertainty.
Based on a result for eigenvalue sensitivities and a complete parametric eigenstructure assignment approach, the robust pole assignment problem is converted into an independent minimization problem.
By combining these measures with a recently proposed general parametric eigenstructure assignment result for descriptor linear systems via state feedback, the robust pole assignment problem is converted into an independent minimization problem.
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CEO of Professional Science Editing for Scientists @ prosciediting.com