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04/12/2023
Optimal convergence analysis of Laguerre spectral approximations for analytic functions
In this paper, we present a comprehensive convergence analysis of Laguer...
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06/17/2022
An efficient spectral method for the fractional Schrödinger equation on the real line
The fractional Schrödinger equation (FSE) on the real line arises in a b...
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12/28/2021
Gaussian quadrature rules for composite highly oscillatory integrals
Highly oscillatory integrals of composite type arise in electronic engin...
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11/06/2021
New error bounds for Legendre approximations of differentiable functions
In this paper we present a new perspective on error analysis of Legendre...
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06/07/2021
Are best approximations really better than Chebyshev?
Best and Chebyshev approximations play an important role in approximatio...
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08/02/2020
On the optimal rates of convergence of Gegenbauer projections
In this paper we present a comprehensive convergence rate analysis of Ge...
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01/07/2020