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JCNS
2000
165views more  JCNS 2000»
13 years 10 months ago
A Population Density Approach That Facilitates Large-Scale Modeling of Neural Networks: Analysis and an Application to Orientati
We explore a computationally efficient method of simulating realistic networks of neurons introduced by Knight, Manin, and Sirovich (1996) in which integrate-and-fire neurons are ...
Duane Q. Nykamp, Daniel Tranchina
JSCIC
2010
145views more  JSCIC 2010»
13 years 5 months ago
Interior Penalty Continuous and Discontinuous Finite Element Approximations of Hyperbolic Equations
In this paper we present the continuous and discontinuous Galerkin methods in a unified setting for the numerical approximation of the transport dominated advection-reaction equati...
Erik Burman, Alfio Quarteroni, Benjamin Stamm
AMC
2005
168views more  AMC 2005»
13 years 10 months ago
Comparison between the homotopy analysis method and homotopy perturbation method
In this paper, we show that the so-called ``homotopy perturbation method'' is only a special case of the homotopy analysis method. Both methods are in principle based on...
Shijun Liao
FLAIRS
2007
14 years 17 days ago
An Extended Neural Gas Model for Efficient Data Mining Tasks
This paper presents a numerical association rule extraction method that is based on original quality measures which evaluate to what extent a numerical classification model behave...
Jean-Charles Lamirel, Shadi Al Shehabi
AMC
2007
156views more  AMC 2007»
13 years 10 months ago
Derivation of the Adomian decomposition method using the homotopy analysis method
Adomian decomposition method has been used intensively to solve nonlinear boundary and initial value problems. It has been proved to be very efficient in generating series solutio...
Fathi M. Allan