Articles with "explicit formulas" as a keyword



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Explicit Formulas Associated with Some Families of Generalized Bernoulli and Euler Polynomials

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Published in 2017 at "Mediterranean Journal of Mathematics"

DOI: 10.1007/s00009-017-0891-0

Abstract: In this paper, we propose and derive several new explicit formulas of the generalized Bernoulli and Euler polynomials in terms of the generalized Stirling numbers of the second kind. A study of some families of… read more here.

Keywords: associated families; bernoulli euler; formulas associated; euler polynomials ... See more keywords
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Solving the Biharmonic Plate Bending Problem by the Ritz Method Using Explicit Formulas for Splines of Degree 5

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Published in 2018 at "Cybernetics and Systems Analysis"

DOI: 10.1007/s10559-018-0097-x

Abstract: An algorithm is presented to solve the biharmonic problem for clamped plate by the Ritz method, with the use of explicit formulas for splines of degree 5 on a triangular grid of nodes. A computational… read more here.

Keywords: ritz method; plate; formulas splines; splines degree ... See more keywords
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New explicit formulas for the some special matrices with fractional derivatives: II

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Published in 2020 at "Ain Shams Engineering Journal"

DOI: 10.1016/j.asej.2020.08.023

Abstract: Abstract Matrices have important applications of statistical analysis, circuits, mechanics, optics, and quantum physics. In this article, matrix explicit formulas of the exponentials for computing exp(αA), where A is a special n × n matrix and α… read more here.

Keywords: new explicit; fractional derivative; matrices fractional; special matrices ... See more keywords
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New explicit formulas for optimum design of concrete gravity dams

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Published in 2021 at "Computers and Concrete"

DOI: 10.12989/cac.2021.27.2.143

Abstract: Large dams are a part of the infrastructure of any society, and a huge amount of resources are consumed to build them. Among the various types of dams, the optimum design of concrete gravity dams… read more here.

Keywords: concrete gravity; gravity dams; optimum design; gravity ... See more keywords
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EXPLICIT FORMULAS FOR THE EXPONENTIALS OF SOME SPECIAL MATRICES.

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Published in 2017 at "International Journal of Approximate Reasoning"

DOI: 10.21474/ijar01/5043

Abstract: ...................................................................................................................... Introduction:Consider the linear vector differential equation ̇( ) ( ) where ( ) is an n-vector and A is an matrix. It plays a fundamental role in the study of dynamical systems and linear… read more here.

Keywords: special matrices; exponentials special; formulas exponentials; explicit formulas ... See more keywords