Results 41 to 50 of about 80,472 (232)
Generalized Chebyshev polynomials of the second kind
, 2015 We characterize the generalized Chebyshev polynomials of the second kind (Chebyshev-II), and then we provide a closed form of the generalized Chebyshev-II polynomials using the Bernstein basis.
AlQudah, Mohammad A.
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Trivariate polynomial approximation on Lissajous curves [PDF]
, 2015 We study Lissajous curves in the 3-cube, that generate algebraic cubature formulas on a special family of rank-1 Chebyshev lattices. These formulas are used to construct trivariate hyperinterpolation polynomials via a single 1-d Fast Chebyshev Transform (
Bos, Len +2 more
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A Spectral Method for Two-Dimensional Ocean Acoustic Propagation
Journal of Marine Science and Engineering, 2021 The accurate calculation of the sound field is one of the most concerning issues in hydroacoustics. The one-dimensional spectral method has been used to correctly solve simplified underwater acoustic propagation models, but it is difficult to solve ...
Xian Ma +5 more
doaj +1 more source
Chebyshev approach to quantum systems coupled to a bath
, 2007 We propose a new concept for the dynamics of a quantum bath, the Chebyshev space, and a new method based on this concept, the Chebyshev space method. The Chebyshev space is an abstract vector space that exactly represents the fermionic or bosonic bath ...
A. C. Hewson +11 more
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Valuing American Put Options Using Chebyshev Polynomial Approximation [PDF]
, 2005 This paper suggests a simple valuation method based on Chebyshev approximation at Chebyshev nodes to value American put options. It is similar to the approach taken in Sullivan (2000), where the option`s continuation region function is estimated by using
Caporale, GM, Cerrato, M
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On integer Chebyshev polynomials [PDF]
Mathematics of Computation, 1997 We are concerned with the problem of minimizing the supremum norm on [ 0 , 1 ] \lbrack 0,1\rbrack of a nonzero polynomial of degree at most n n with integer coefficients. We use the structure of such polynomials to derive an efficient algorithm for computing them.
Laurent Habsieger, Bruno Salvy
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Cotas superiores para o número de zeros de uma combinação linear de funções via Teoria de Chebyshev
CQD Revista Eletrônica Paulista de Matemática, 2022 O objetivo deste trabalho é apresentar a Teoria de Sistemas de Chebyshev clássica e com acurácia. Para isto, reunimos os principais resultados e caracterizamos cada classe de sistemas de Chebyshev a partir do número máximo de zeros de uma combinação ...
Vitor Henrique Lopes Gusson +1 more
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Mathematics of ComputationChebyshev varieties are algebraic varieties parametrized by Chebyshev polynomials or their multivariate generalizations. We determine the dimension, degree, singular locus and defining equations of these varieties. We explain how they play the role of toric varieties in sparse polynomial root finding, when monomials are replaced by Chebyshev ...
Zaïneb Bel-Afia +2 more
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Cosmographic analysis with Chebyshev polynomials
, 2017 The limits of standard cosmography are here revised addressing the problem of error propagation during statistical analyses. To do so, we propose the use of Chebyshev polynomials to parameterize cosmic distances.
Capozziello, Salvatore +2 more
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Converse Sturm-Hurwitz-Kellogg theorem and related results [PDF]
, 2007 The classical Sturm-Hurwitz-Kellogg theorem asserts that a function, orthogonal to an n-dimensional Chebyshev system on a circle, has at least n+1 sign changes.
Tabachnikov, S.
core +4 more sources