Results 11 to 20 of about 253 (140)

A family of simultaneous zero-finding methods [PDF]

open access: yes, 1997
Applying Hansen-Patrick's formula for solving the single equation f(z) = 0 to a suitable function appearing in the classical Weierstrass' method, two one-parameter families of interation functions for the simultaneous approximation of all simple and ...
Ilić, S.   +2 more
core   +1 more source

Can Any Stationary Iteration Using Linear Information Be Globally Convergent? [PDF]

open access: yes, 1980
All known globally convergent iterations for the solution of a nonlinear operator equation f(x) = 0 are either nonstationary or use nonlinear information.
Wasilkowski, Grzegorz W.
core   +2 more sources

COMPOSITE LAGUERRE PSEUDOSPECTRAL METHOD FOR FOKKER-PLANCK EQUATIONS

open access: yesMathematical Modelling and Analysis, 2023
A composite generalized Laguerre pseudospectral method for the nonlinear Fokker-Planck equations on the whole line is developed. Some composite generalized Laguerre interpolation approximation results are established. As an application, a composite Laguerre pseudospectral scheme is provided for the problems of the relaxation of fermion and boson gases.
Chuan Wang, Tianjun Wang, Youlin Shang
openaire   +3 more sources

Mean summability methods for Laguerre series [PDF]

open access: yesTransactions of the American Mathematical Society, 1990
We apply a construction of generalized convolution in \[ L 1 ( R + × R , x 2 α − 1
openaire   +1 more source

Airborne ultrasonic vortex generation using flexible ferroelectrets [PDF]

open access: yes, 2011
Cellular ferroelectrets exhibit interesting electromechanical- acoustical characteristics. Their recent appearance and remarkable properties open up new possibilities for the design and development of ultrasonic transducers.
F. Seco   +5 more
core   +2 more sources

Laguerre-like method for multiple zeros

open access: yes, 2018
Capítulo del libro "Contemporary study of iterative methods: convergence, dynamics and applications" In this chapter the applicability of the Laguerre-like method for finding multiple zeros is extended. Numerical examples are also presented.
Magreñán, Á. Alberto (1)   +1 more
openaire   +2 more sources

A family of root-finding methods with accelerated convergence [PDF]

open access: yes, 2006
A parametric family of iterative methods for the simultaneous determination of simple complex zeros of a polynomial is considered. The convergence of the basic method of the fourth order is accelerated using Newton's and Halley's corrections thus ...
Petković, M.S., Rančić, L.Z.
core   +1 more source

The constructive-graphical stability of the mapping methods in the general collinear fields [PDF]

open access: yes, 2003
Ovaj rad analizira konstruktivno grafičku stabilnost postupaka preslikavanja u opštim i perspektivno kolinearnim poljima koja se zasnivaju na Lagerovim tačkama preslikanih apsolutnih involucija.
Jeli, Zorana   +2 more
core   +2 more sources

On the Laguerre Method for Separating the Roots of Algebraic Equations [PDF]

open access: yesProceedings of the American Mathematical Society, 1957
where f--f(x), f(x) = 0 is an algebraic equation of degree N with real roots and x an arbitrary real number, separate the roots of the equation. This proposition was also discussed by Ch. Hermite [2 ] and by E. Bodewig [N]. According to the proposition there will be at least one root of the equation between u and v. A generalization of the relation (1),
openaire   +1 more source

The Hall Effects of Vortex Light in Optical Materials

open access: yesAdvanced Photonics Research, EarlyView.
This article models optical materials as curved spacetime to investigate light propagation, finding that the deflection angle for light with spin σ and intrinsic orbital angular momentum ℓ follows ϑ ∝ 2σ + ℓ$\vartheta \propto 2 \text{&sgr; } + ℓ$.
Wei‐Si Qiu   +3 more
wiley   +1 more source

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