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A kernel-independent adaptive fast multipole algorithm in two and three dimensions
Fast multipole methods Fast solvers Integral equations Single-layer potential Double-layer potential Particle methods N-body problems
2015/7/14
We present a new fast multipole method for particle simulations. The main feature of our algorithm is that it does not require the implementation of multipole expansions of the underlying kernel, and ...
Critical Temperature of Interacting Bose Gases in Two and Three Dimensions
Superfluid temperature bose gas the space dimension integral monte carlo simulation particles atoms
2014/12/19
We calculate the superfluid transition temperature of homogeneous interacting Bose gases in three and two spatial dimensions using large-scale path integral Monte Carlo simulations (with up to N=105 p...
Ground and Excited States of Bipolarons in Two and Three Dimensions
bipolaron ground-state energy excited-state energy Lee-Low-Pines-Huybrechts
variational method
2007/8/15
2007Vol.48No.1pp.169-174DOI:
Ground and Excited States of Bipolarons in Two and Three Dimensions
RUAN Yong-Hong and CHEN Qing-Hu
Department of Physics, Zhejiang Universi...
On the Quantum Query Complexity of Local Search in Two and Three Dimensions
Quantum Query Complexity Two and Three Dimensions
2012/11/29
The quantum query complexity of searching for local optima has been a subject of much interest in the recent literature.For the d-dimensional grid graphs, the complexity has been determined asymptotic...