Results 41 to 50 of about 84 (79)

EQP - A 2D/3D library for integration of polynomials times step function

open access: yesSoftwareX, 2020
The EQuivalent Polynomials library, EQP, herein provided is a powerful tool for the numerical integration, with classical quadrature rules (e.g. Gauss–Legendre), of a function given by the product of an arbitrary polynomial times a Heaviside step ...
Gregorio Mariggiò   +3 more
doaj  

Meshless Modelling of Laminate Mindlin Plates under Dynamic Loads

open access: yesCommunications, 2012
Collocation method and Galerkin method have been dominant in the existing meshless methods. A meshless local Petrov-Galerkin (MLPG) method is applied to solve laminate plate problems described by the Reissner-Mindlin theory for transient dynamic loads ...
Milan Zmindak, Daniel Riecky
doaj   +1 more source

Decomposition of a Nonlinear Multivariate Function using the Heaviside Step Function

open access: yes, 2014
Whereas the Dirac delta function introduced by P. A. M. Dirac in 1930 in his famous quantum mechanics text has been well studied, a not famous formula related to the delta function using the Heaviside step function in a single-variable form, also given in Dirac's text, has been poorly studied.
openaire   +2 more sources

Existence and uniqueness of traveling wave front of a nonlinear singularly perturbed system of reaction–diffusion equations with a Heaviside step function

open access: yesJournal of Mathematical Analysis and Applications, 2014
Abstract The main purpose of this paper is to show the existence and uniqueness of a traveling wave front ( U , W ) = ( U ( x + v ( e ) t ) , W ( x + v ( e ) t ) ) of the following nonlinear singularly perturbed system of reaction–diffusion equations with a Heaviside step function { ∂ u ∂ t = ∂
Yuanyuan Liu, Lianzhong Li, Maoan Han
openaire   +2 more sources

APPROXIMATING MATHEMATICAL MODEL DEVELOPMENT ACCORDING TO POINT EXPERIMENTAL DATA THROUGH “CUT-GLUE” METHOD

open access: yesAdvanced Engineering Research, 2014
A solution to the problem on describing experimentally obtained dependences is considered. The autho r’s method is based upon getting some local approximations of fragments of these relations, and their additive reduction to a single analytical ...
Rudolf Anatolyevich Neydorf
doaj   +1 more source

Generalized Functions And Calculus Operators Of Mathematica Applied To Evaluation Of Influence Lines And Envelopes Of Statically Indeterminate Beams

open access: yesTransactions of the VŠB: Technical University of Ostrava, Civil Engineering Series, 2015
The paper presents an analytical method of finding functions of influence lines of statically indeterminate beams. There are presented solutions of a fourth order equation with a right hand side with second and third derivative of Dirac delta.
Walentyński Ryszard
doaj   +1 more source

Reconstruction of fluorescence molecular tomography with a cosinoidal level set method

open access: yesBioMedical Engineering OnLine, 2017
Background Implicit shape-based reconstruction method in fluorescence molecular tomography (FMT) is capable of achieving higher image clarity than image-based reconstruction method.
Xuanxuan Zhang, Xu Cao, Shouping Zhu
doaj   +1 more source

Originals of operating images for generalized problems of unsteady heat conductivity

open access: yesТонкие химические технологии, 2019
A series of operating (Laplace) non-standard images, the originals of which are absent in well-known reference books on operational calculus, are considered.
E. M. Kartashov
doaj   +1 more source

A MLPG Meshless Method for Numerical Simulation of Unsteady Incompressible Flows

open access: yesJournal of Applied Fluid Mechanics, 2017
This article presents a numerical algorithm using the Meshless Local PetrovGalerkin (MLPG) method for numerical simulation of unsteady incompressible flows, governed by the Navier–Stokes equations via the stream function–vorticity (ψ–ω) formulation.
Iraj Saeedpanah
doaj  

A Discontinuous Model to Study Fracture of Brittle Materials

open access: yesActa Polytechnica, 2004
In this paper, the partition of the unity property of finite element shape functions is used to introduce displacement discontinuities into finite elements.
K. De Proft, W. P. De Wilde
doaj  

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