Results 41 to 50 of about 84 (79)
EQP - A 2D/3D library for integration of polynomials times step function
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
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Meshless Modelling of Laminate Mindlin Plates under Dynamic Loads
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
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Decomposition of a Nonlinear Multivariate Function using the Heaviside Step Function
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.
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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
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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
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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
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Reconstruction of fluorescence molecular tomography with a cosinoidal level set method
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
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Originals of operating images for generalized problems of unsteady heat conductivity
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
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A MLPG Meshless Method for Numerical Simulation of Unsteady Incompressible Flows
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
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A Discontinuous Model to Study Fracture of Brittle Materials
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
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