Výsledky vyhledávání - "Pataki, Andras"

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Rapid solution of the cryo-EM reconstruction problem by frequency marching

Autor: Barnett, Alex, Greengard, Leslie, Pataki, Andras, Spivak, Marina

Determining the three-dimensional structure of proteins and protein complexes at atomic resolution is a fundamental task in structural biology. Over the last decade, remarkable progress has been made using "single particle" cryo-electron microscopy (

Externí odkaz: http://arxiv.org/abs/1610.00404

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A fast, high-order solver for the Grad-Shafranov equation

Autor: Pataki, Andras, Cerfon, Antoine J., Freidberg, Jeffrey P., Greengard, Leslie, O'Neil, Michael

We present a new fast solver to calculate fixed-boundary plasma equilibria in toroidally axisymmetric geometries. By combining conformal mapping with Fourier and integral equation methods on the unit disk, we show that high-order accuracy can be achi

Externí odkaz: http://arxiv.org/abs/1210.2113

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On the efficient representation of the half-space impedance Green's function for the Helmholtz equation

Autor: O'Neil, Michael, Greengard, Leslie, Pataki, Andras

A classical problem in acoustic (and electromagnetic) scattering concerns the evaluation of the Green's function for the Helmholtz equation subject to impedance boundary conditions on a half-space. The two principal approaches used for representing t

Externí odkaz: http://arxiv.org/abs/1109.6708

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Fast elliptic solvers in cylindrical coordinates and the Coulomb collision operator

Autor: Pataki, Andras, Greengard, Leslie

In this paper, we describe a new class of fast solvers for separable elliptic partial differential equations in cylindrical coordinates $(r,\theta,z)$ with free-space radiation conditions. By combining integral equation methods in the radial variable

Externí odkaz: http://arxiv.org/abs/1102.2033

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