Results 31 to 40 of about 4,353,527 (290)
A New Application of Hermite Collocation Method [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2019 This paper reflects the advantage of a new approach of using Hermite orthogonal basis elements to solve nonlinear differential equations. This method is based on a successive integration technique. To illustrate the method and to establish the efficiency
Chandrali Baishya
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A Basis for the Diagonally Signed-Symmetric Polynomials [PDF]
The Electronic Journal of Combinatorics, 2013 Let $n\ge 1$ be an integer and let $B_{n}$ denote the hyperoctahedral group of rank $n$. The group $B_{n}$ acts on the polynomial ring $Q[x_{1},\dots,x_{n},y_{1},\dots,y_{n}]$ by signed permutations simultaneously on both of the sets of variables $x_{1},\dots,x_{n}$ and $y_{1},\dots,y_{n}.$ The invariant ring $M^{B_{n}}:=Q[x_{1},\dots,x_{n},y_{1},\dots,
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The Trigonometric Polynomial Like Bernstein Polynomial
The Scientific World Journal, 2014 A symmetric basis of trigonometric polynomial space is presented. Based on the basis, symmetric trigonometric polynomial approximants like Bernstein polynomials are constructed.
Xuli Han
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Structural Reliability Analysis Using Orthogonalizable Power Polynomial Basis Vector
MATEC Web of Conferences, 2017 A new method for structural reliability analysis using orthogonalizable power polynomial basis vector is presented. Firstly, a power polynomial basis vector is adopted to express the initial series solution of structural response, which is determined by ...
Li Yejun, Huang Bin
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Angular Correlation Using Rogers-Szegő-Chaos
Mathematics, 2020 Polynomial chaos expresses a probability density function (pdf) as a linear combination of basis polynomials. If the density and basis polynomials are over the same field, any set of basis polynomials can describe the pdf; however, the most logical ...
Christine Schmid, Kyle J. DeMars
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Border basis relaxation for polynomial optimization
Journal of Symbolic Computation, 2016 A relaxation method based on border basis reduction which improves the efficiency of Lasserre's approach is proposed to compute the optimum of a polynomial function on a basic closed semi algebraic set. A new stopping criterion is given to detect when the relaxation sequence reaches the minimum, using a sparse flat extension criterion.
Abril Bucero, Marta, Mourrain, Bernard
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Bernoulli Basis and the Product of Several Bernoulli Polynomials [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 We develop methods for computing the product of several Bernoulli and Euler polynomials by using Bernoulli basis for the vector space of polynomials of degree less than or equal ton.
Dae San Kim, Taekyun Kim 0001
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Polynomial cubic splines with tension properties [PDF]
, 2010 In this paper we present a new class of spline functions with tension properties. These splines are composed by polynomial cubic pieces and therefore are conformal to the standard, NURBS based CAD/CAM ...
Costantini, P. +2 more
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A Note on Solvable Polynomial Algebras [PDF]
Computer Science Journal of Moldova, 2014 In terms of their defining relations, solvable polynomial algebras introduced by Kandri-Rody and Weispfenning [J. Symbolic Comput., 9(1990)] are characterized by employing Gr\"obner bases of ideals in free algebras, thereby solvable polynomial ...
Huishi Li
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Mathematics, 2023 The evaluation of objective functions and component reliability in the optimisation of structural-acoustic systems with random and interval variables is computationally expensive, especially when strong nonlinearity exhibits between the response and ...
Shengwen Yin +3 more
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