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American Journal of Computational Mathematics (AJCM) is a journal dedicated to providing a platform for publication of articles about mathematical research in areas of science where computing plays a central and essential role emphasizing algorithms, numerical methods, and symbolic methods. All manuscripts must be pre…
Joachim Moussounda Mouanda, Edwige Josette Maleka Koubemba, Djagwa Dehainsala
We introduce the spectral mapping factorization of tuples of circulant matrices and its matrix version. We prove that every tuple of circulant contractions has a unitary N-dilation. We show that von Neumann’s inequality holds for tu ples of circulant contract…
Peiyu Su, Feng Qin, Fu Li
Attribute reduction is a hot topic in rough set research. As an extension of rough sets, neighborhood rough sets can effectively solve the problem of information loss after data discretization. However, traditional greedy-based neighborhood rough set attribut…
Victor A. Miroshnikov
An exact three-dimensional solution for stochastic chaos of I wave groups of M random internal waves governed by the Navier-Stokes equations is developed. The Helmholtz decomposition is used to expand the Dirichlet problem f or the Navier-Stokes equations int…
John R. Crary
The Fine Structure Constant ( α ) is a dimensionless value that guides much of quantum physics but with no scientific insight into why this specific number. The number defines the coupling constant for the strength of the electromagnetic force and is precisel…
Mariam Al-Mazmumy
The immense quest for proficient numerical schemes for the solution of mathematical models featuring nonlinear differential equations led to the realization of the Adomian decomposition method (ADM) in the 80 th . Undoubtedly, the solution of nonlinear differ…
Maria Rosaria Capobianco, Giuliana Criscuolo
In this paper , the authors give a different and more precise analysis of the stability of the classical Gauss-Laguerre quadrature rule for the Cauchy P.V. integrals on the half line. Moreover, in order to obtain this result they give some new estimates for t…
Janez Komelj
The Owen’s T function is presented in four new ways, one of them as a series similar to the Euler’s arctangent series divided by 2π, which is its majorant series. All possibilities enable numerically stable and fast convergent computation o f the bivariat…
Dan Gabriel Cacuci
This work presents a comprehensive fourth-order predictive modeling (PM) methodology that uses the MaxEnt principle to incorporate fourth-order moments (means, covariances, skewness, kurtosis) of model parameter s, computed and measured model responses, as we…
Dan Gabriel Cacuci
This work (in two parts) will present a novel predictive modeling methodology aimed at obtaining “best-estimate results with reduced uncertainties” for the first four moments (mean values, covariance, skewness and kurtosis) of the optimally predicted distribu…
Mojammel Haque, Mariam Sultana, Laek Sazzad Andallah
In order to control traffic congestion , many mathematical models have been used for several decades. In this paper, we study diffusion-type traffic flow model based on exponential velocity density relation , which provides a non-linear second-order parabolic…
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American Journal of Computational Mathematics (AJCM) is a journal dedicated to providing a platform for publication of articles about mathematical research in areas of science where computing plays a central and essential role emphasizing algorithms, numerical methods, and symbolic methods. All manuscripts must be pre… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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