Results 21 to 30 of about 253 (140)

Laguerre and composite Legendre-Laguerre Dual-Petrov-Galerkin methods for third-order equations [PDF]

Discrete & Continuous Dynamical Systems - B, 2006
Dual-Petrov-Galerkin approximations to linear third-order equations and the Korteweg-de Vries equation on semi-infinite intervals are considered. It is shown that by choosing appropriate trial and test basis functions the Dual-Petrov-Galerkin method using Laguerre functions leads to strongly coercive linear systems which are easily invertible and ...
Li-Lian Wang, Jie Shen
openaire   +1 more source

Advances in Mode (De)Multiplexing Technologies via Circularly Symmetric Structured Light Beams

Advanced Photonics Research, EarlyView.
This review presents a comprehensive overview of mode (de)multiplexing technologies using circularly symmetric structured light beams, encompassing strategies of beam splitter combinations, multiorder diffractive gratings, optical coordinate transformations, angular dispersion lenses, multilayer cascaded modulations, and multidimensional hybrid (de ...
Qingji Zeng, Shu Chen, Zhibin Wu, Junmin Liu, Huapeng Ye, Gaiqing Zhao, Dianyuan Fan, Shuqing Chen   +7 more
wiley   +1 more source

Designing New Natural‐Mimetic Phosphatidic Acid: a Versatile and Innovative Synthetic Strategy for Glycerophospholipid Research

Angewandte Chemie International Edition, Accepted Article.
Glycerophospholipids (GPLs) play important roles in cellular compartmentalization and signaling. Among them, phosphatidic acids (PA) exist as many distinct species depending on acyl chain composition, each one potentially displaying unique signaling function.
Antoine Schlichter, Alexander Wolf, Thomas Ferrand, Aurelien Cocq, Lina Riachy, Steven Vertueux, Brice Beauvais, Marine Courvalet, Paul-Joël Henry, Emeline Tanguy, Louis Gonzales, Rémy Ferlet, Fanny Laguerre, Charles Decraene, Alexia Pellissier, Muriel Sebban, Cyrille Sabot, Lydie Jeandel, Sarah Cianférani, Jean-Marc Strub, Magalie Bénard, Victor Flon, Valérie Peulon-Agasse, Pascal Cardinael, Stéphane Ory, Stéphane Gasman, Pierre-Yves Renard, Maïté Montero-Hadjadje, Nicolas Vitale, Balieu Sébastien   +29 more
wiley   +1 more source

Free energy expansions of a conditional GinUE and large deviations of the smallest eigenvalue of the LUE

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun, Seong‐Mi Seo, Meng Yang   +2 more
wiley   +1 more source

Orbital Angular Momentum Holography Using Neural Network and Camera in the Loop

Laser &Photonics Reviews, EarlyView.
Neural network and optimization‐based approaches are introduced for Orbital Angular Momentum (OAM) multiplexed holography, enabling high‐capacity, phase‐only image reconstruction. A Camera‐In‐The‐Loop (CITL) system learns a realistic propagation model to correct system imperfections.
Nima Asoudegi, Mo Mojahedi
wiley   +1 more source

On the space restitution of the laguerre’s points associated to the perspective elliptical involuted ranges [PDF]

, 2006
Ovaj rad izlaže dokaz, zasnovan na metodi prostorne restitucije, da geometrijsko mesto Lagerovih tačaka perspektivnih eliptičnih involutornih nizova predstavlja dva kruga.
Petrović, Dragan, Popkonstantinović, Branislav   +1 more
core  

A parallel algorithm for simple roots for polynomials [PDF]

, 1984
A method for finding simple roots of arbitrary polynomials based on divided differences is discussed. Theoretical background is presented for the case of simple roots.
Ellis, George H., Watson, Layne T.
core   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

Parallel square-root iterations for multiple roots [PDF]

, 1980
In [1] Laguerre's method has been extended to determine all simple roots of a polynomial together with error bounds at each iteration step. In this paper we extend the previous algorithm to multiple complex roots and show that, also in this case, the ...
Gargantini, Irene
core   +1 more source

Construction of Bernstein‐Based Words and Their Patterns

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, with inspiration of the definition of Bernstein basis functions and their recurrence relation, we give construction of a new word family that we refer Bernstein‐based words. By classifying these special words as the first and second kinds, we investigate their some fundamental properties involving periodicity and symmetricity ...
Irem Kucukoglu, Yilmaz Simsek
wiley   +1 more source