Results 221 to 230 of about 24,811,169 (263)

The Chebyshev propagator for quantum systems

Computer Physics Communications, 1999
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Chen, Rongqing, Guo, Hua
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Approximation Problems by Chebyshev Systems

1983
This chapter will be devoted to the study of the problem pairs (P) - (D) and (PA) - (DA) in a special but important case, namely when the moment generating functions a1, …,an form a so-called Chebyshev system. The most well-known instance of such a system is ar(s) = sr-1, r = 1,…,n, on a closed and bounded real interval.
Klaus Glashoff, Sven-Åke Gustafson
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Some classes of Chebyshev systems

Journal of Mathematical Sciences, 2007
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Chebyshev systems and estimation theory for discrete distributions

Statistics & Probability Letters, 2002
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Braverman, Mark, Lumelskii, Yan
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Chebyshev cardinal functions for a new class of nonlinear optimal control problems generated by Atangana–Baleanu–Caputo variable-order fractional derivative

, 2020
This paper introduces a novel class of nonlinear optimal control problems generated by dynamical systems involved with variable-order fractional derivatives in the Atangana–Baleanu–Caputo sense.
M. Heydari
semanticscholar   +1 more source

Some criteria and properties of Chebyshev systems

Siberian Mathematical Journal, 1995
Let \(T^n [a, b]\) be the Chebyshev system of \(n\) functions on \([a, b]\). An isolated zero \(t\in [a, b]\) of a continuous function \(x\) is called nodal if either \(t\in \{a, b\}\) or \(t\in ]a, b[\) and the function \(x\) changes sign upon passage across \(t\), and \(t\) is nonnodal otherwise.
Rasa, I., Labsker, L. G.
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Generalized shifted Chebyshev polynomials: Solving a general class of nonlinear variable order fractional PDE

Communications in nonlinear science & numerical simulation, 2020
We introduce a new general class of nonlinear variable order fractional partial differential equations (NVOFPDE). The NVOFPDE contains, as special cases, several partial differential equations, such as the nonlinear variable order (VO) fractional ...
H. Hassani, J. Machado, Z. Avazzadeh, E. Naraghirad   +3 more
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Pseudospectral Chebyshev Optimal Control of Constrained Nonlinear Dynamical Systems

Computational Optimization and Applications, 1998
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Elnagar, Gamal N., Kazemi, Mohammad A.
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Least Squares and Chebyshev Systems

2012
As readers know, polynomials of degree n, in other words linear combinations of n + 1 monomials 1,…, t n , may have at most n real zeros. A far-reaching generalization of this fact raises a fundamental concept of Chebyshev systems, briefly, T-systems. Those systems are defined as follows.
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Chebyshev systems of locally analytic functions

Mathematical Notes, 1994
Let \(\{f_1 (q), \dots, f_n(q)\}\) be a linearly independent system of continuous functions on any compact set \(Q\). The author introduces the notion of locally analytic functions and considers a ``polynomial'' \(P_\alpha (z)= \alpha_1 f_1 (z)+\dots +\alpha_n f_n (z)\), \(\alpha= (\alpha_1, \dots, \alpha_n)\in \mathbb{C}^n\). He describes the set \(Q\)
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