Results 31 to 40 of about 12,121,362 (308)

A hybrid method for solving time fractional advection–diffusion equation on unbounded space domain

Advances in Difference Equations, 2020
In this article, a hybrid method is developed for solving the time fractional advection–diffusion equation on an unbounded space domain. More precisely, the Chebyshev cardinal functions are used to approximate the solution of the problem over a bounded ...
H. Azin, F. Mohammadi, M. H. Heydari
doaj   +1 more source

Triple Junctions as Dislocation‐Like Defects: The Role of Grain Boundary Crystallography Revealed by Experiment and Atomistic Simulation

Advanced Engineering Materials, EarlyView.
Grain boundary triple junctions are an essential ingredient of the microstructure of polycrystalline materials. In this study, a triple junction is observed using atomic‐resolution scanning transmission electron microscopy and characterized. Computer simulations reveal that the junction has a dislocation character that is determined by the joining ...
Tobias Brink, Saba Saood, Peter Schweizer, Jörg Neugebauer, Gerhard Dehm   +4 more
wiley   +1 more source

The Influence of Mesoscale Particle Structure on the Electrode Degradation and Resultant Electrochemistry of Lithium Ion Cells With Nickel Rich Lithium Nickel Manganese Cobalt Oxide Positive Electrodes

Advanced Materials Technologies, EarlyView.
Milled polycrystalline NMC811 cathode (MPC NMC) with smaller secondary particle and higher surface area had 1) greater cathode tortuosity, 2) reduced surface Ni on the cycled MPC cathodes consistent with surface reconstruction, and 3) increased Ni deposition from cathode‐anode crosstalk, manifesting in lower functional capacity and higher impedance ...
Edelmy J. Marin Bernardez, Andrew Nicoll, David J. Arnot, Armando Rodriguez Campos, Patrick J. Barry, Marie F. Millares, Cynthia Huang, Melissa A. Guercio, Grace K. Dono, Alexis Pace, Xianghui Xiao, Cherno Jaye, Conan Weiland, Jianming Bai, Hui Zhong, Michael Drakopoulos, Zhong Zhong, Nghia T. Vo, Xiao Tong, Esther S. Takeuchi, Amy C. Marschilok, Shan Yan, Kenneth J. Takeuchi   +22 more
wiley   +1 more source

A hybrid approach for piecewise fractional reaction–diffusion equations

Results in Physics, 2023
In this paper, the Caputo and Atangana–Baleanu fractional derivatives are handled to introduce a type of piecewise fractional derivative. More precisely, a linear combination of the Caputo and Atangana–Baleanu fractional derivatives are considered in ...
M.H. Heydari, Sh. Zhagharian
doaj   +1 more source

Mellin transforms with only critical zeros: Legendre functions [PDF]

, 2013
We consider the Mellin transforms of certain Legendre functions based upon the ordinary and associated Legendre polynomials. We show that the transforms have polynomial factors whose zeros lie all on the critical line Re $s=1/2$.
M. Coffey, M. C. Lettington
semanticscholar   +1 more source

Large-Parameter Asymptotic Expansions for the Legendre and Allied Functions [PDF]

SIAM Journal on Mathematical Analysis, 2019
Surprisingly, apart from some special cases, simple asymptotic expansions for the associated Legendre functions $P_\nu ^\mu (z)$ and $Q_\nu ^\mu (z)$ for large degree $\nu$ or large order $\mu$ are not available in the literature. The main purpose of the
GergHo Nemes, A. Daalhuis
semanticscholar   +1 more source

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

Advanced 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, Wataru Namiki, Daiki Nishioka, Maki Nishimura, Ryo Iguchi, Kazuya Terabe, Takashi Tsuchiya   +6 more
wiley   +1 more source

Legendre functions, spherical rotations, and multiple elliptic integrals [PDF]

, 2013
A closed-form formula is derived for the generalized Clebsch–Gordan integral $\int_{-1}^{1} {[}P_{\nu}(x){]}^{2}P_{\nu}(-x)\,\mathrm {d}x$, with Pν being the Legendre function of arbitrary complex degree $\nu\in\mathbb{C}$.
Yajun Zhou
semanticscholar   +1 more source

Machine Learning Interatomic Potentials for Energy Materials: Architectures, Training Strategies, and Applications

Advanced Energy Materials, EarlyView.
Machine learning interatomic potentials bridge quantum accuracy and computational efficiency for materials discovery. Architectures from Gaussian process regression to equivariant graph neural networks, training strategies including active learning and foundation models, and applications in solid‐state electrolytes, batteries, electrocatalysts ...
In Kee Park, Saeed Pourasad, Jinhong Mun, Arunkumar Chitteth Rajan, Tae Hyeon Park, Anand Rohit, Mohammad Zafari, Tan‐Lien Pham, Eunjae Jung, Bonseung Koo, Miran Ha, Gi Beom Sim, Hyun Gyu Park, Won Woong Choi, Kwanghyeon Jo, Soohaeng Yoo Willow, David ChangMo Yang, Chang Woo Myung, Geunsik Lee, Kwang S. Kim   +19 more
wiley   +1 more source

CFD modeling and sensitivity‐guided design of silicon filament CVD reactors

AIChE Journal, EarlyView.
Abstract Filament‐based chemical vapor deposition (CVD) for silicon (Si) coatings is often treated as an adaptation of planar deposition. But this overlooks fundamental shifts in transport phenomena and reaction kinetics. In filament CVD, the filament acts as a substrate, heat source, and flow disruptor simultaneously. In this work, we ask: What really
G. P. Gakis, G. Loachamín‐Suntaxi, I. G. Aviziotis, E. D. Koronaki, P. P. Filippatos, G. Chatzigiannakis, S. P. A. Bordas, D. Davazoglou, A. G. Boudouvis   +8 more
wiley   +1 more source