Results 41 to 50 of about 5,981 (227)

Talbot effect for dispersion in linear optical fibers and a wavelet approach

open access: yes, 2005
We shortly recall the mathematical and physical aspects of Talbot's self-imaging effect occurring in near-field diffraction. In the rational paraxial approximation, the Talbot images are formed at distances z=p/q, where p and q are coprimes, and are ...
Cabrera, H.   +3 more
core   +1 more source

Multi-resolution anisotropy studies of ultrahigh-energy cosmic rays detected at the Pierre Auger Observatory [PDF]

open access: yes, 2017
We report a multi-resolution search for anisotropies in the arrival directions of cosmic rays detected at the Pierre Auger Observatory with local zenith angles up to $80^\circ$ and energies in excess of 4 EeV ($4 \times 10^{18}$ eV).
Aab, A.   +402 more
core   +3 more sources

A Legendre wavelet collocation method for solving neutral delay differential equations

open access: yesMiskolc Mathematical Notes
The Legendre wavelet based method has been employed in this paper to investigate neutral delay differential equations. The highest order derivative is approximated by Legendre wavelet using the integral operator technique.
Uzair Ahmed   +3 more
doaj   +1 more source

Two reliable computational methods pertaining to steady state substrate concentration of an immobilized enzyme system

open access: yesAlexandria Engineering Journal, 2018
A mathematical model of an immobilized enzyme system with Michaelis-Menten mechanism for an irreversible reaction is discussed. The model is developed on the basis of diffusion equations containing a nonlinear term related to Michaelis-Menten (M-M ...
M. Salai Mathi Selvi   +3 more
doaj   +1 more source

Convergence analysis of the Chebyshev-Legendre spectral method for a class of Fredholm fractional integro-differential equations

open access: yes, 2018
In this paper, we propose and analyze a spectral Chebyshev-Legendre approximation for fractional order integro-differential equations of Fredholm type. The fractional derivative is described in the Caputo sense.
Babolian, E.   +3 more
core   +1 more source

Complex data processing: fast wavelet analysis on the sphere [PDF]

open access: yes, 2006
In the general context of complex data processing, this paper reviews a recent practical approach to the continuous wavelet formalism on the sphere. This formalism notably yields a correspondence principle which relates wavelets on the plane and on the ...
McEwen, J. D., Vielva, P., Wiaux, Y.
core   +2 more sources

Photonics of Topological Magnetic Textures

open access: yesAdvanced Optical Materials, EarlyView.
Localized noncollinear magetic textures imprint their geometry and topology onto traversing photonic fields endowing them with orbital angular‐momentum, chirality, and magnetoelectric densities. Abstract Topological textures in magnetically ordered materials are an important case studies for fundamental research with promising applications in data ...
Vakhtang Jandieri   +6 more
wiley   +1 more source

Rieger-type periodicity during solar cycles 14-24: estimation of dynamo magnetic field strength in the solar interior

open access: yes, 2016
Solar activity undergoes a variation over time scales of several months known as Rieger-type periodicity, which usually occurs near maxima of sunspot cycles.
Ballester, Jose Luis   +8 more
core   +1 more source

Enhanced High Dimensionality and the Information Processing Capacity in Interfered Spin Wave‐Based Reservoir Computing, Achieved With Eight Detectors

open access: yesAdvanced Electronic Materials, EarlyView.
Physical reservoir computing (PRC) based on spin wave interference has demonstrated high computational performance, yet room for improvement remains. In this study, we fabricated this concept PRC with eight detectors and evaluated the impact of the number of detectors using a chaotic time series prediction task.
Sota Hikasa   +6 more
wiley   +1 more source

Wavelet Collocation Method for Solving Multiorder Fractional Differential Equations

open access: yesJournal of Applied Mathematics, 2012
The operational matrices of fractional-order integration for the Legendre and Chebyshev wavelets are derived. Block pulse functions and collocation method are employed to derive a general procedure for forming these matrices for both the Legendre and the
M. H. Heydari   +3 more
doaj   +1 more source

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