Two-level Chebyshev filter based complementary subspace method: pushing the envelope of large-scale electronic structure calculations [PDF]
, 2018 We describe a novel iterative strategy for Kohn-Sham density functional theory calculations aimed at large systems (> 1000 electrons), applicable to metals and insulators alike.
Banerjee, Amartya S. +4 more
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Chebyshev Approximations for the Psi Function [PDF]
Mathematics of Computation, 1973 Rational Chebyshev approximations to the psi (digamma) function are presented for .5 ≦ x ≦ 3.0 .5 \leqq x \leqq 3.0 , and 3.0 ≦ x 3.0 \leqq x . Maximum relative errors range down to the order of 10 − 20
Cody, W. J. +2 more
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Orthogonal Functions Solving Linear functional Differential EquationsUsing Chebyshev Polynomial
مجلة بغداد للعلوم, 2008 A method for Approximated evaluation of linear functional differential equations is described. where a function approximation as a linear combination of a set of orthogonal basis functions which are chebyshev functions .The coefficients of the ...
Baghdad Science Journal
doaj +1 more source
Chebyshev’s bias for analyticL-functions [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2019 AbstractWe discuss the generalizations of the concept of Chebyshev’s bias from two perspectives. First, we give a general framework for the study of prime number races and Chebyshev’s bias attached to generalL-functions satisfying natural analytic hypotheses.
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Parallel Self-Consistent-Field Calculations via Chebyshev-Filtered Subspace Acceleration [PDF]
, 2006 Solving the Kohn-Sham eigenvalue problem constitutes the most computationally expensive part in self-consistent density functional theory (DFT) calculations.
B. Fornberg +10 more
core +1 more source
, 2020 Data mining plays an important role in data classification technology. As diabetes is an ongoing research project in medical science, analyzing diabetes data has become increasingly important in the near future. Better and faster is a more efficient data
Swati Das
semanticscholar +1 more source
Chebyshev model arithmetic for factorable functions [PDF]
Journal of Global Optimization, 2016 This article presents an arithmetic for the computation of Chebyshev models for factorable functions and an analysis of their convergence properties. Similar to Taylor models, Chebyshev models consist of a pair of a multivariate polynomial approximating the factorable function and an interval remainder term bounding the actual gap with this polynomial ...
Rajyaguru, J +3 more
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Chebyshev type inequalities for Hilbert space operators [PDF]
, 2014 We establish several operator extensions of the Chebyshev inequality. The main version deals with the Hadamard product of Hilbert space operators.
Mohammad Sal +2 more
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Integral inequalities involving generalized Erdélyi-Kober fractional integral operators
Open Mathematics, 2016 Using the generalized Erdélyi-Kober fractional integrals, an attempt is made to establish certain new fractional integral inequalities, related to the weighted version of the Chebyshev functional. The results given earlier by Purohit and Raina (2013) and
Baleanu Dumitru +2 more
doaj +1 more source
A spectral approach to a constrained optimization problem for the Helmholtz equation in unbounded domains [PDF]
, 2014 We study some convergence issues for a recent approach to the problem of transparent boundary conditions for the Helmholtz equation in unbounded domains.
Ciraolo, Giulio +2 more
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