Results 91 to 100 of about 546 (189)
Numerical 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
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An Augmented Lagrangian Preconditioner for Navier–Stokes Equations With Runge–Kutta in Time
Numerical 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
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Binomials transformation formulae for scaled Fibonacci numbers
Open Mathematics, 2017 The aim of the paper is to present the binomial transformation formulae of Fibonacci numbers scaled by complex multipliers. Many of these new and nontrivial relations follow from the fundamental properties of the so-called delta-Fibonacci numbers defined
Hetmaniok Edyta +2 more
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Gram Decay and Intrinsic Dimensions of Krylov Subspaces
Numerical 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
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Automated knowledge based filter synthesis using modified Chebyshev polynomials of the first kind
Facta universitatis - series: Electronics and Energetics, 2012 The paper presents the automated design of active RC and programmable filters. The approximating function is derived using Chebyshev orthogonal polynomials of the first kind. Optimization is performed using symbolic manipulation of expressions inputted into computer algebra system.
Vlastimir Pavlovic +2 more
openaire +2 more sources
Promotion of 211 MAX Phase Formation through Bismuth A‐Site Solid Solution in Ti2(Al1‐xBix)C
Small Structures, Volume 7, Issue 6, June 2026.Bi incorporation in the Ti–Al–C system stabilizes the 211 MAX phase across a wide synthesis window, suppressing competing 312 formation. The resulting Ti2(Al1‐xBix)C enables robust and scalable production of phase‐pure 211 precursors, while preserving the structural and functional characteristics of derived MXenes, demonstrating a practical route to ...
Yiftach Kushnir +11 more
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Journal of Numerical Analysis and Approximation Theory, 2010 The aim of this note is that by using the so-called max-product method, to associate to the Hermite-Fejer polynomials based on the Chebyshev knots of first kind, a new interpolation operator for which a Jackson-type approximation order in terms of ...
Lucian Coroianu, Sorin G. Gal
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Variable Temperature Studies of Two Calcium Uranates α‐Ca3UO6 and Ca2UO5
Chemistry – 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
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Generalized Chebyshev Polynomials
Discussiones Mathematicae - General Algebra and Applications, 2018 Let h(x) be a non constant polynomial with rational coefficients. Our aim is to introduce the h(x)-Chebyshev polynomials of the first and second kind Tn and Un. We show that they are in a ℚ-vectorial subspace En(x) of ℚ[x] of dimension n.
Abchiche Mourad, Belbachir Hacéne
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Chebyshev-Fourier Spectral Methods for Nonperiodic Boundary Value Problems
Journal of Applied Mathematics, 2014 A new class of spectral methods for solving two-point boundary value problems for linear ordinary differential equations is presented in the paper. Although these methods are based on trigonometric functions, they can be used for solving periodic as well
Bojan Orel, Andrej Perne
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