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The isotropic vector ¯eld decomposition methodology
 in the Proceedings of ACES 2002 : The 18th Annual Review of Progress in Applied Computational Electromagnetics
, 2002
"... In this paper I introduce the isotropic vector ¯eld decomposition methodology. This new methodology decomposes a vector ¯eld into six components at every node (thus it is a colocated scheme) within an associated isotropic vector matrix grid and provides an algorithm whereby the vector calculus curl ..."
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In this paper I introduce the isotropic vector ¯eld decomposition methodology. This new methodology decomposes a vector ¯eld into six components at every node (thus it is a colocated scheme) within an associated isotropic vector matrix grid and provides an algorithm whereby the vector calculus curl
The LawnMowing Algorithm for noisy gradient vector elds
"... In this paper we analyze a speci c problem within the context of recovering the geometric shape of an unknown surface from multiple noisy shading patterns generated by consecutive parallel illuminations by di erent lightsources. Shadingbased singleview shape recovery in computer vision often lead ..."
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leads to vector elds (i.e. estimated surface normals) which havetobeintegrated for calculations of height or depth maps. We present an algorithm for enforcing the integrability condition of a given nonintegrable vector eld which ensures a global suboptimal solution by local optimizations. The scheme
Contact Lie algebras of vector elds on the plane
, 1999
"... The paper is devoted to the complete classication of all real Lie algebras of contact vector elds on the rst jet space of onedimensional submanifolds in the plane. This completes Sophus Lie’s classication of all possible Lie algebras of contact symmetries for ordinary dierential equations. As a mai ..."
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The paper is devoted to the complete classication of all real Lie algebras of contact vector elds on the rst jet space of onedimensional submanifolds in the plane. This completes Sophus Lie’s classication of all possible Lie algebras of contact symmetries for ordinary dierential equations. As a
A quantitative model of the magnetosphere with poloidal vector ®elds
"... Abstract. A quantitative model of the magnetospheric magnetic ®eld is developed using poloidal vector ®elds. This formalism is applied to the ring current region, the distant ®eld and the return currents. The tail model is similar to the unwarped model of Tsyganenko. Several sets of coe�cients are o ..."
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Cited by 2 (1 self)
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Abstract. A quantitative model of the magnetospheric magnetic ®eld is developed using poloidal vector ®elds. This formalism is applied to the ring current region, the distant ®eld and the return currents. The tail model is similar to the unwarped model of Tsyganenko. Several sets of coe
Research Article Invariant distributions and holomorphic vector elds in paracontact geometry
"... Abstract: Having as a model the metric contact case of V. Br̂nzanescu; R. Slobodeanu, we study two similar subjects in the paracontact (metric) geometry: a) distributions that are invariant with respect to the structure endomorphism φ; b) the class of vector elds of holomorphic type. As examples we ..."
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Abstract: Having as a model the metric contact case of V. Br̂nzanescu; R. Slobodeanu, we study two similar subjects in the paracontact (metric) geometry: a) distributions that are invariant with respect to the structure endomorphism φ; b) the class of vector elds of holomorphic type. As examples we
Convergence of the Newton method and uniqueness of zeros of vector elds on Riemannian manifolds
, 2004
"... Abstract The estimates of the radii of convergence balls of the Newton method and uniqueness balls of zeroes of vector elds on the Riemannian manifolds are given under the assumption that the covariant derivatives of the vector elds satisfy some kind of general Lipschitz conditions. Some classical ..."
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Abstract The estimates of the radii of convergence balls of the Newton method and uniqueness balls of zeroes of vector elds on the Riemannian manifolds are given under the assumption that the covariant derivatives of the vector elds satisfy some kind of general Lipschitz conditions. Some classical
On ows associated to Sobolev vector elds in Wiener spaces: an approach à la
, 2008
"... DiPernaLions ..."
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