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CPHYSICS
2007
93views more  CPHYSICS 2007»
13 years 3 months ago
Convergence rate of dimension reduction in Bose-Einstein condensates
In this paper, we study dimension reduction of the three-dimensional (3D) Gross–Pitaevskii equation (GPE) modeling Bose–Einstein condensation under different limiting interact...
Weizhu Bao, Yunyi Ge, Dieter Jaksch, Peter A. Mark...
SIAMSC
2010
104views more  SIAMSC 2010»
13 years 2 months ago
A New Sobolev Gradient Method for Direct Minimization of the Gross--Pitaevskii Energy with Rotation
Abstract. In this paper we improve traditional steepest descent methods for the direct minimization of the Gross-Pitaevskii (GP) energy with rotation at two levels. We first defi...
Ionut Danaila, Parimah Kazemi
NIPS
2008
13 years 5 months ago
Convergence and Rate of Convergence of a Manifold-Based Dimension Reduction Algorithm
We study the convergence and the rate of convergence of a local manifold learning algorithm: LTSA [13]. The main technical tool is the perturbation analysis on the linear invarian...
Andrew Smith, Xiaoming Huo, Hongyuan Zha
SIAMNUM
2010
150views more  SIAMNUM 2010»
12 years 10 months ago
Quasi-Optimal Convergence Rate of an Adaptive Discontinuous Galerkin Method
We analyze an adaptive discontinuous finite element method (ADFEM) for symmetric second order linear elliptic operators. The method is formulated on nonconforming meshes made of si...
Andrea Bonito, Ricardo H. Nochetto
MOC
2010
12 years 10 months ago
Multigrid in a weighted space arising from axisymmetric electromagnetics
Consider the space of two dimensional vector functions whose components and curl are square integrable with respect to the degenerate weight given by the radial variable. This spac...
Dylan M. Copeland, Jayadeep Gopalakrishnan, Minah ...