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Chebyshev approximation with a null space [PDF]
Proceedings of the American Mathematical Society, 1973 Chebyshev approximation involving continuous functions vanishing on a closed set V V is considered. The approximating families studied have the betweenness property. Examples are given of such families. A necessary and sufficient condition for uniqueness of best approximations is obtained.
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Ain Shams Engineering Journal, 2018 In this paper, we present a numerical method proficient for solving a system of time–fractional partial differential equations. For this sake, we use spectral collection method based on shifted Chebyshev polynomials in space and finite difference method ...
Basim Albuohimad +2 more
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A second-order continuity domain-decomposition technique based on integrated Chebyshev polynomials for two-dimensional elliptic problems [PDF]
, 2008 This paper presents a second-order continuity non-overlapping domain decomposition (DD) technique for numerically solving second-order elliptic problems in two-dimensional space.
Mai-Duy, Nam, Tran-Cong, Thanh
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IEEE Access, 2021 Ambient Occlusion (AO) is a widely used shadowing technique in 3D rendering. One of the main disadvantages of using it is that it requires not only the surface depth but also the normal vector, which usually causes severe aliasing. This work introduces a
Ka-Hou Chan, Sio-Kei Im
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Chebyshev centers in normed spaces
Journal of Approximation Theory, 1984 Let E be a normed linear space, F a bounded subset, Y a closed subset of E. A nonnegative real number \(r_ Y(F)\) is called the relative Chebyshev radius of F with respect to Y if \(r_ Y(F)\) is the infimum of all numbers \(r>0\) for which there exists a \(y\in Y\) such that F is contained in the closed ball B(y,r) with center y and radius r. Any point
Amir, Dan, Mach, Jaroslav
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Abstract and Applied Analysis, 2012 Combining with the Crank-Nicolson/leapfrog scheme in time discretization, Chebyshev-Legendre spectral method is applied to space discretization for numerically solving the Benjamin-Bona-Mahony-Burgers (gBBM-B) equations. The proposed approach is based on
Tinggang Zhao +5 more
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Best L 1 approximation of Heaviside-type functions from Chebyshev and weak-Chebyshev spaces [PDF]
Numerical Algorithms, 2016 In this article, we study the problem of best $L_1$ approximation of Heaviside-type functions in Chebyshev and weak-Chebyshev spaces. We extend the Hobby-Rice theorem into an appropriate framework and prove the unicity of best $L_1$ approximation of Heaviside-type functions in an even-dimensional Chebyshev space under the condition that the dimension ...
Laurent Gajny +3 more
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Spectral functions and time evolution from the Chebyshev recursion [PDF]
, 2015 We link linear prediction of Chebyshev and Fourier expansions to analytic continuation. We push the resolution in the Chebyshev-based computation of $T=0$ many-body spectral functions to a much higher precision by deriving a modified Chebyshev series ...
Justiniano, Jorge A. +3 more
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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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, 2014 We present a computational approach for designing wire meshes, i.e., freeform surfaces composed of woven wires arranged in a regular grid. To facilitate shape exploration, we map material properties of wire meshes to the geometric model of Chebyshev nets.
Deng, Bailin +6 more
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