Results 61 to 70 of about 1,100,393 (352)
LORETA With Cortical Constraint: Choosing an Adequate Surface Laplacian Operator
Frontiers in Neuroscience, 2018 Low resolution electromagnetic tomography (LORETA) is a well-known method for the solution of the l2-based minimization problem for EEG/MEG source reconstruction. LORETA with a volume-based source space is widely used and much effort has been invested in
Todor Iordanov +7 more
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A general quantum Laplace transform
Advances in Difference Equations, 2020 In this paper, we introduce a general quantum Laplace transform L β $\mathcal{L}_{\beta }$ and some of its properties associated with the general quantum difference operator D β f ( t ) = ( f ( β ( t ) ) − f ( t ) ) / ( β ( t ) − t ) ${D}_{\beta }f(t)= ({
Enas M. Shehata +2 more
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Singular behavior of the Laplace operator in polar spherical coordinates and some of its consequences for the radial wave function at the origin of coordinates [PDF]
Physics of Particles and Nuclei Letters, 2015 Singular behavior of the Laplace operator in spherical coordinates is investigated. It is shown that in course of transition to the reduced radial wave function in the Schrodinger equation there appears additional term consisting the Dirac delta function,
A. Khelashvili, T. Nadareishvili
semanticscholar +1 more source
Design and Applications of Multi‐Frequency Programmable Metamaterials for Adaptive Stealth
Advanced Functional Materials, EarlyView.This article provides a comprehensive overview of metamaterials, including their fundamental principles, properties, synthesis techniques, and applications in stealth, as well as their challenges and future prospects. It covers topics that are more advanced than those typically discussed in existing review articles, while still being closely connected ...
Jonathan Tersur Orasugh +4 more
wiley +1 more source
Ground State for the Schrödinger Operator with the Weighted Hardy Potential
International Journal of Differential Equations, 2011 We establish the existence of ground states on ℝ𝑁 for the Laplace operator involving the Hardy-type potential. This gives rise to the existence of the principal eigenfunctions for the Laplace operator involving weighted Hardy potentials. We also obtain a
J. Chabrowski, K. Tintarev
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Toward Zero‐Excess Alkali Metal Batteries: Bridging Experimental and Computational Insights
Advanced Materials, EarlyView.This review explores zero‐excess alkali metal batteries, highlighting anode–electrolyte interfaces, metal nucleation, dendrite growth, and SEI formation while comparing Li, Na, and K metals. It critically examines electrolyte and separator roles, emphasizing substrate design, electrolyte modifications, interfacial engineering, and solid‐state ...
Pan He +6 more
wiley +1 more source
Transient Charging of Mixed Ionic‐Electronic Conductors by Anomalous Diffusion
Advanced Materials, EarlyView.This article explores charge transport in mixed ionic‐electronic conductors (MIECs) through electrochemical impedance spectroscopy and transient current analysis. Focusing on PEDOT:PSS, WO3, and n‐doped PBDF, it uncovers the impact of anomalous diffusion via fractional modeling. The study reveals key correlations that deepen understanding and guide the
Heyi Zhang +9 more
wiley +1 more source
Journal of Mathematics, 2021 By coupling of radial kernels and localized Laplace transform, a numerical scheme for the approximation of time fractional anomalous subdiffusion problems is presented.
Muhammad Taufiq, Marjan Uddin
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Adaptive Discrete Laplace Operator [PDF]
, 2011 Diffusion processes capture information about the geometry of an object such as its curvature, symmetries and particular points. The evolution of the diffusion is governed by the LAPLACE-BELTRAMI operator which presides to the diffusion on the manifold.
Fiorio, Christophe +2 more
openaire +3 more sources
Recent Advances in Reactive Microdroplets for Clean Water and Energy
Advanced Materials, EarlyView.Reactive microdroplets enable precise and sustainable chemistry at small scales. This review explores their role as confined reactors and dynamic interfaces for synthesizing functional materials, fuels, and microdevices. It offers a critical perspective on how droplet‐based platforms can drive next‐generation technologies in clean energy, environmental
Qiuyun Lu +4 more
wiley +1 more source