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Vladimir D Rokhlin, 7240 Breckenridge Ct, New Haven, CT 06514

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40 Breckenridge Ct, Hamden, CT 06514    203-2880077   

7 Breckenridge Ct, Hamden, CT 06514   

40 Autumn St, Hamden, CT 06514    203-2880077   

100 Troiano Rd, Hamden, CT 06518    203-2880077   

200 Fountain St #712, New Haven, CT 06515   

67 Bay Path Way, Branford, CT 06405    203-2880077   

102 Einstein Dr, Princeton, NJ 08540    609-2880077   

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Vladimir Rokhlin

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Vladimir Rokhlin

Vladimir Rokhlin may refer to: Vladimir Rokhlin (Soviet mathematician) (19191984), Soviet mathematician; Vladimir Rokhlin (American scientist), mathematician and computer scientist
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Vladimir Rokhlin (Soviet Mathematician) The Free ...

Vladimir Abramovich Rokhlin (23 August 1919 3 December 1984) was one of the leading Soviet mathematicians, working in the fields of topology, geometry and ergodic theory ...

Us Patents

Determining Field-Dependent Characteristics By Employing High-Order Quadratures In The Presence Of Geometric Singularities

US Patent:
2004013, Jul 8, 2004
Filed:
Sep 8, 2003
Appl. No.:
10/657729
Inventors:
Joseph Ethridge - Hamden CT, US
Zydrunas Gimbutas - Hamden CT, US
Leslie Greengard - New York NY, US
Vladimir Rokhlin - Hamden CT, US
William Crutchfield - Pleasonton CA, US
International Classification:
G06F017/50
US Classification:
703/014000
Abstract:
A machine for determining field-dependent physical characteristics contains tables of precomputed quadratures and employs them to integrate numerically over a problem boundary. The quadratures are based on products of a kernel function and a basis that spans a wide range of density functions. The kernel function is dependent on a target node's position, and different quadratures are precomputed for different target-node positions or ranges thereof. In the case of at least some of the quadratures, some the basis functions include integrable singularities. The solver divides the problem boundary into a plurality of problem intervals, to which it maps the canonical interval. To integrate a problem interval for a target point, the solver employs a precomputed quadrature that is associated with the target point's relative position and that was generated by using a basis in which a singularity occurs at each canonical-interval location that was mapped to a geometrical singularity on the problem interval. The quadrature results in high-order accuracy even if no individual basis function includes a singularity whose shape is the same as one induced by the geometric singularity. These quadratures can be coupled with a Fast Multipole Method (“FMM”) to evaluate layer potentials rapidly and with high accuracy.

Analysis Method And System

US Patent:
2005023, Oct 20, 2005
Filed:
Feb 7, 2005
Appl. No.:
11/053159
Inventors:
Hongwei Cheng - Old Greenwich CT, US
Leslie Greengard - New York NY, US
Zydrunas Gimbutas - Hamden CT, US
Per-Gunnar Martinsson - New Haven CT, US
Vladimir Rokhlin - Hamden CT, US
International Classification:
G06F017/10
US Classification:
703002000
Abstract:
A fast direct method for the solution of structured linear systems of equations. A linear system with a matrix that possesses larger submatrices that are of low ranck (to some precision).

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