Results 31 to 40 of about 192,799 (329)
Approximation with harmonic and generalized harmonic polynomials in the partition of unity method
Computer Assisted Methods in Engineering and Science, 2023 The aim of the paper is twofold. In the first part, we present an analysis of the approximation properties of "complete systems" , that is, systems of functions which satisfy a given differential equation and are dense in the set of all solutions.
J. M. Melenk, I. Babuška
doaj
Spectral method of electrical circuits accelerated simulation with thyristors
Elektrotehnìka ta Elektroenergetika, 2023 Purpose. The development of transient processes calculation method in electric circuits with thyristors based on the use of functions approximation by orthogonal polynomials. Methodology.
S.M. Tykhovod +3 more
doaj +1 more source
Approximating Polynomials for Functions of Weighted Smirnov-Orlicz Spaces
Journal of Function Spaces and Applications, 2012 Let 𝐺0 and 𝐺∞ be, respectively, bounded and unbounded components of a plane curve Γ satisfying Dini's smoothness condition. In addition to partial sum of Faber series of 𝑓 belonging to weighted Smirnov-Orlicz space 𝐸𝑀,𝜔 (𝐺0), we prove that interpolating ...
Ramazan Akgün
doaj +1 more source
Communications, 2010 In applications of mathematics involving either the Laplace or the Helmholtz equation in spherical coordinates the associated Legendre equation occurs. Its solutions are called associated Legendre functions. They have some relations to classical Legendre
Vladimir Guldan, Mariana Marcokova
doaj +1 more source
The uniform approximation of polynomials by polynomials of lower degree [PDF]
, 1974 approximation, in a given interval,of a polynomial of degree in by a polynomial of degree n < m has been solved analytically in only two cases: (i) by Chebyshev, when m = n + 1, (ii) by Zolotarev, when m = n + 2.
Talbot, A
core +1 more source
Use of Symptomatic Drug Treatment for Fatigue in Multiple Sclerosis and Patterns of Work Loss
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To describe the use of central stimulants and amantadine for fatigue in MS and evaluate a potential association with reduced work loss in people with MS. Methods We conducted a nationwide, matched, register‐based cohort study in Sweden (2006 to 2023) using national registers with prospective data collection.
Simon Englund +3 more
wiley +1 more source
Best L1-approximation by polynomials
Journal of Approximation Theory, 1983 Pour tout entier n≥0 et tout reel feL 1 (I), avec I=[1,1] soit E n (f) l'erreur de la meilleure approximation L 1 de f par des polynomes de degre non superieur a n. On considere des estimations superieures et inferieures de E n−1 (f) et son comportement asymptotique quand n→∞
Fiedler, H, Jurkat, W.B
openaire +1 more source
Arthritis Care &Research, EarlyView.Objective We aimed to identify unique disease trajectories within rheumatoid arthritis–associated interstitial lung disease (RA‐ILD) based on longitudinal forced vital capacity (FVC) values and their associated clinical outcomes. Methods We performed a cohort study of RA‐ILD within the Veterans Health Administration from 1999 to 2021.
Bryant R. England +9 more
wiley +1 more source
Chebyshev Collocation Method for the Fractional Fredholm Integro-Differential Equations
Journal of New Theory, 2023 In this study, Chebyshev polynomials have been applied to construct an approximation method to attain the solutions of the linear fractional Fredholm integro-differential equations (IDEs).
Dilek Varol
doaj +1 more source
Generalized Chebyshev polynomials of the second kind
, 2015 We characterize the generalized Chebyshev polynomials of the second kind (Chebyshev-II), and then we provide a closed form of the generalized Chebyshev-II polynomials using the Bernstein basis.
AlQudah, Mohammad A.
core +1 more source