Results 91 to 100 of about 32,100 (199)

Chebyshev Smoothing With Adaptive Block‐FSAI Preconditioners for the Multilevel Solution of Higher‐Order Problems With the Partition of Unity Method

open access: yesNumerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.
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

An Augmented Lagrangian Preconditioner for Navier–Stokes Equations With Runge–Kutta in Time

open access: yesNumerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.
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

Gram Decay and Intrinsic Dimensions of Krylov Subspaces

open access: yesNumerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.
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]

open access: yes
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

Quantum Activation Functions in Neural Networks: A Systematic Review of Approaches, Performance Impacts, and Practical Applications

open access: yesAdvanced Quantum Technologies, Volume 9, Issue 6, June 2026.
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]

open access: yes
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

open access: yesChemistry – A European Journal, Volume 32, Issue 20, 27 May 2026.
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

open access: yesDiscrete Dynamics in Nature and Society, 2015
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

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