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Direct approach to density functional theory: iterative treatment using a polynomial representation of the Heaviside step function operator

Chemical Physics Letters, 1995
Abstract A new approach to density functional theory is presented. The ground state electronic density and energy of a many-electron system are obtained directly using a polynomial representation of the Heaviside step operator acting on a trial wavefunction.
Donald Kouri   +2 more
exaly   +2 more sources

Spline adaptive filtering algorithm based on Heaviside step function

Signal, Image and Video Processing, 2022
Sihai Guan, Yong Zhao, Biswal Bharat
exaly   +2 more sources

XFEM Analyses Using Two-Dimensional Quadrilateral Elements Enriched with Only the Heaviside Step Function

International Journal of Computational Methods, 2021
In the framework of the extended finite element method, a two-dimensional four-node quadrilateral element enriched with only the Heaviside step function is formulated for stationary and propagating crack analyses. In the proposed method, two types of signed distance functions are used to implicitly express crack geometry, and finite elements, which ...
Toshio Nagashima, Chenyu Wang
openaire   +1 more source

The Heaviside Step Function and MATLAB

2008
Mathematical software enables to solve in a very simple way differential equations arisen from casual systems. In this note we point out that the solutions provided by MATLAB may occasionally neglect Heaviside step functions in the output when instant impulses or piecewise continuous functions appear in the input.
Matilde P. Legua   +2 more
openaire   +1 more source

Teaching deflection of stepped shafts: Castigliano's theorem, dummy loads, heaviside step functions and numerical integration

2011 Frontiers in Education Conference (FIE), 2011
The need for finding the deflections of shafts, many of which are stepped or varying cross-sectional areas is timeless. Each generation of engineers has used that part of mechanics of materials theory that fit the calculating capability available to them. The method presented here is offered in that vein.
E. M. Odom, C. J. Egelhoff
openaire   +1 more source

A One-Layer Dual Recurrent Neural Network with a Heaviside Step Activation Function for Linear Programming with Its Linear Assignment Application

2011
This paper presents a one-layer recurrent neural network for solving linear programming problems. The proposed neural network is guaranteed to be globally convergent in finite time to the optimal solutions under a mild condition on a derived lower bound of a single gain parameter. The number of neurons in the neural network is the same as the number of
Qingshan Liu 0002, Jun Wang 0002
openaire   +1 more source

Method for solving differential equations with coefficients in the form of the Heaviside step function

Proceedings of Moscow Institute of Physics and Technology, 2021
K. O. Guk, O. A. Myltcina
openaire   +1 more source

AN ANALYTIC EXACT FORM OF HEAVISIDE STEP FUNCTION

Advances and Applications in Discrete Mathematics, 2019
openaire   +1 more source

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