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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…
Lakshmi N. Sridhar
This study presents a reduced-order modeling and optimal control framework for a shear-flow instability system derived from the incompressible Navier-Stokes equations via linear stability analysis of the Orr-Sommerfeld equation and subsequent center-manifold…
Kuldeep S. Rawat
The four-node quadrilateral element (Q4) and the eight-node serendipity quadrilateral element (Q8) are standard interpolation models in numerical approximation and finite element analysis. This paper compares Q4 and Q8 interpolation for curvature-preserving s…
Olaniyi Sadik Maliki, Jane Ngozi Oruh, Patrick Agwu Okpara
Any new mathematical concept in Machine Learning can often times prove difficult until it is approached in an algorithmic format, enabling manual step-by-step computations to be possible. This type of computation-based approach from first principles can great…
Jingyu Huang, Chenliang Li
In this paper, based on Tucker product tensor form, we present an economic cascadic tensor multigrid method(ECTMG) for the 3D partial differential equations discretized by the finite element method. Meanwhile, we provide the convergence analysis of the new me…
Antoine Zoghbi
Algorithm ZS1, which generates integer partitions in standard representation and anti-lexicographic order, was first introduced in Mr. Zoghbi’s Master’s thesis, “ Algorithms for Generating Integer Partitions ” (University of Ottawa, 1993), and later published…
Kankolongo Kadilu Patient, Kumwimba Seya Didier, Panga Lutanda Grégoire, Balowayi Bondu Bernard, Mwania Wakosia José
This paper develops a fuzzy stochastic volatility framework for pricing and calibrating copper futures contracts under parameter uncertainty. The classical Heston model is extended by representing its structural parameters as trapezoidal fuzzy numbers, allowi…
Haiduke Sarafian
To augment the scope of the previous investigation, the author suggested analyzing the impact of extended initial conditions on the solution of the nonhomogeneous, coordinate-dependent wave equation. This article reports on the results of the investigation. I…
Nikoloz (Niko) Nadirashvili
Purpose: The calculation of triangular numbers using the conventional formula T n = n ( n + 1 ) / 2 becomes computationally infeasible for astronomically large values of n (e.g., numbers with 10 trillion digits), due to limitations in modern computing systems…
Rezaul Haque, Abdul Alim, Laek Sazzad Andallah, Shahidul Alam
A numerical investigation of magnetohydrodynamic (MHD) mixed convection in a lid-driven square cavity with internal heat generation is presented. The cavity is filled with an electrically conducting fluid, and the top wall moves at a constant velocity while t…
Julian Allagan, Vitaly Voloshin, Vladimir Deriglazov, Rogelio N. Lopez-Bonilla
For the prism (cyclic ladder) graphs G n = C n □ P 2 , the chromatic polynomial admits a four-branch transfer-matrix expansion P ( G n , z ) = ∑ j = 0 3 α j ( z ) λ j ( z ) n , λ 0 ( z ) = z 2 − 3 z + 3 , λ 1 ( z ) = 1 − z , λ 2 ( z ) = 3 − z , λ 3 ( z ) = 1…
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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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