Results 91 to 100 of about 32,100 (199)
ABSTRACT In this paper, we assess the performance of adaptive and nested factorized sparse approximate inverses as smoothers in multilevel V‐cycles, when smoothing is performed following the Chebyshev iteration of the fourth kind, for the efficient solution of linear systems arising from a conforming discretization of higher‐order partial differential ...
Pablo Jiménez Recio +1 more
wiley +1 more source
Systematic literature review of the performance characteristics of Chebyshev polynomials in machine learning applications for economic forecasting in low-income communities in sub-Saharan Africa. [PDF]
Cordes D, Latifi S, Morrison GM.
europepmc +1 more source
An Augmented Lagrangian Preconditioner for Navier–Stokes Equations With Runge–Kutta in Time
ABSTRACT We consider an implicit Runge–Kutta method for the numerical time integration of the nonstationary incompressible Navier–Stokes equations. This yields a sequence of nonlinear problems to be solved for the stages of the Runge–Kutta method. The resulting nonlinear system of differential equations is discretized using a finite element method.
Santolo Leveque +2 more
wiley +1 more source
Operational matrices based on the shifted fifth-kind Chebyshev polynomials for solving nonlinear variable order integro-differential equations. [PDF]
Jafari H, Nemati S, Ganji RM.
europepmc +1 more source
Gram Decay and Intrinsic Dimensions of Krylov Subspaces
ABSTRACT Krylov subspace methods solve large sparse linear systems Ax=b$$ Ax=b $$ by building a sequence of polynomial approximations to A−1b$$ {A}^{-1}b $$ from successive matrix‐vector products. In finite precision, the number of numerically independent directions that can be extracted from this sequence is bounded by the intrinsic information ...
Stephen J. Thomas
wiley +1 more source
Chebyshev polynomials are not always optimal [PDF]
The problem is that of finding among all polynomials of degree at most n and normalized to be 1 at c the one with minimal uniform norm on Epsilon. Here, Epsilon is a given ellipse with both foci on the real axis and c is a given real point not contained ...
Fischer, Bernd, Freund, Roland
core +1 more source
This review explores how quantum activation functions can contribute to the evolution of neural networks toward quantum computing. The results show that classical‐quantum hybrid architectures are being tested in some practical applications, while fully quantum models are still in the development phase. These functions represent an important step toward
Petterson Pina dos Santos +2 more
wiley +1 more source
Prediction of compliant wall drag reduction, part 1 [PDF]
Computer codes developed to test Bushnell's compliant wall drag reduction model are discussed. One code computes the evolution of mean velocity profiles during the period between bursts as forced by an imposed large-scale pressure pulse due to earlier ...
Orszag, S. A.
core +1 more source
Variable Temperature Studies of Two Calcium Uranates α‐Ca3UO6 and Ca2UO5
The structures and thermal responses of the calcium uranates α‐Ca3UO6 and Ca2UO5 were investigated using in situ synchrotron x‐ray diffraction and neutron powder diffraction. Despite the very similar chemical compositions, the structural response of the two calcium uranates is shown to be complex and varied.
Maria K. Nicholas +8 more
wiley +1 more source
On Fractional Orthonormal Polynomials of a Discrete Variable
A fractional analogue of classical Gram or discrete Chebyshev polynomials is introduced. Basic properties as well as their relation with the fractional analogue of Legendre polynomials are presented.
I. Area +3 more
doaj +1 more source

