Results 41 to 50 of about 606 (166)
VetorWhen using spectral nodal methods in the solution of fixed-source problems, one of the steps involves obtaining the intranodal homogeneous solution of the neutron transport equations in the discrete ordinates formulation (SN), where an eigenvalue problem
Rafael Barbosa Libotte +2 more
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A Short Proof of Euler–Poincaré Formula [PDF]
, 2021 "V - E + F = 2", the famous Euler's polyhedral formula, has a natural generalization to convex polytopes in every finite dimension, also known as the Euler-Poincar Formula. We provide another short inductive proof of the general formula. Our proof is self-contained and it does not use shellability of polytopes.
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An Euler-type formula for median graphs
Discrete Mathematics, 1998 AbstractLet G be a median graph on n vertices and m edges and let k be the number of equivalence classes of the Djokovic´'s relation Θ defined on the edge-set of G. Then 2n-m-k⩽2. Moreover, 2n−m−k = 2 if and only if G is cube-free.
Henry Martyn Mulder +2 more
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Buckling of a structure made of a new eco-composite material
Applied Computer ScienceThis paper reports the experimental results of a study investigating a new eco-composite material made from 100% recycled material. Tensile and density tests were conducted. A numerical model of a one-sided fixed beam was designed by the finite element
Jarosław GAWRYLUK +2 more
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Journal of Computational and Applied Mathematics, 2016 We use a simple approach to show that an Euler-Maclaurin like formula can be associated to any interpolatory quadrature rule. This result is obtained by successively adding correcting terms that are exact for polynomials of increasing degree. A decomposition of the coefficients of the Euler-Maclaurin formula in terms of the integral to compute and ...
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Analysis of Loaded Beam, Cantilever, and Elongated Vertical Column via Integral Rohit Transform
Ibn Al-Haitham Journal for Pure and Applied SciencesStructural analysis is a branch of solid mechanics which utilizes straight forward models for solids. The main objective of Structural analysis is to find out the effect of loads on the physical structures and their components.
Rohit Gupta Rotu +2 more
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A circular interpretation of the Euler–Maclaurin formula [PDF]
Journal of Computational and Applied Mathematics, 2006 AbstractThe present work makes the case for viewing the Euler–Maclaurin formula as an expression for the effect of a jump on the accuracy of Riemann sums on circles and draws some consequences thereof, e.g., when the integrand has several jumps. On the way we give a construction of the Bernoulli polynomials tailored to the proof of the formula and we ...
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Euler and the multiplication formula for the Gamma Function
Euleriana, 2021 We show that an apparently overlooked result of Euler from \cite{E421} is essentially equivalent to the general multiplication formula for the $ $-function that was proven by Gauss in \cite{Ga28}.
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Morphological Analysis of Soil Aggregates Using Euler's Polyeder Formula [PDF]
, 1999 Karl Heinrich Hartge +2 more
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An operator splitting scheme for numerical simulation of spinodal decomposition and microstructure evolution of binary alloys. [PDF]
Heliyon, 2023 Shah A +6 more
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