Results 121 to 130 of about 24,683 (302)

Alternative Fourier Series Expansions with Accelerated Convergence

open access: yesApplied Mathematics, 2016
The key objective of this paper is to improve the approximation of a sufficiently smooth nonperiodic function defined on a compact interval by proposing alternative forms of Fourier series expansions. Unlike in classical Fourier series, the expansion coefficients herein are explicitly dependent not only on the function itself, but also on its ...
openaire   +2 more sources

Laser‐Assisted Phase Engineering of 2D MoS2 for Efficient Solution‐Processed Electronics

open access: yesAdvanced Materials, EarlyView.
Here, local laser‐assisted phase transition from solution‐processed phase‐pure 1T′ to 2H MoS2 is shown to critically depend on the irradiation atmosphere. While processing in air leads to damaged insulating regions, inert conditions yield semiconducting 2H domains, enabling direct field‐effect transistor patterning with optimized lateral 1T′‐2H MoS2 ...
Anna Zhuravlova   +10 more
wiley   +1 more source

Expansion of Iterated Stratonovich Stochastic Integrals of Multiplicity 2. Combined Approach Based on Generalized Multiple and Iterated Fourier Series

open access: yes, 2023
The article is devoted to the expansion of iterated Stratonovich stochastic integrals of multiplicity 2 on the base of the combined approach of generalized multiple and iterated Fourier series. We consider two different parts of the expansion of iterated
Kuznetsov, Dmitriy F.
core  

Resonant Domain Wall Dynamics in a Three‐Dimensional Magnetic Nano Double Helix

open access: yesAdvanced Materials, EarlyView.
3D magnetic nanostructures promise exciting possibilities for magnetization dynamics. However, experimental realizations remain scarce. In nanoprinted cobalt double helices, time‐resolved X‐ray microscopy reveals harmonic domain wall dynamics. Simulations identify the mode and additional higher‐frequency resonances, revealing a rich dynamic landscape ...
Pamela Morales‐Fernández   +15 more
wiley   +1 more source

Fourier series expansion methods for the heat and wave equations in two and three dimensions on spherical domains

open access: yes, 2019
Description: The Fourier series expansion method is an invaluable approach to solving partial differential equations, including the heat and wave equations.
Eller, Matthew
core  

Another Fourier-style expansion in series of Legendre functions

open access: yes, 2000
In Love (Proc. London Math. Soc. 69 (3) (1994) 629–672) I established, under suitable conditions, a Fourier-style expansion, in Legendre functions Pνμ(x) on the cut ...
Love, E.R.
core   +1 more source

High‐Performance Transparent, Deformable, and Recoverable Biomimetic Stevia–PVA Hydrogel Triboelectric Nanogenerator with Machine Learning‐Assisted Motion Recognition

open access: yesAdvanced Materials, EarlyView.
A transparent, deformable stevia–PVA hydrogel triboelectric nanogenerator delivers significantly enhanced mechanical strength and electrical output through biomimetic hydrogen‐bonded networks. Coupled with machine learning–assisted signal recognition, the self‐powered hydrogel enables accurate human‐motion sensing for intelligent wearable and IoT ...
Thien Trung Luu   +5 more
wiley   +1 more source

Dimension reduction techniques for multi-dimensional numerical integrations based on Fourier-cosine series expansion

open access: yes, 2022
A wide range of practical problems involve computing multi-dimensional integrations. However, in most cases, it is hard to find analytical solutions to these multi-dimensional integrations.
CHENG, ZHIMIN (author)
core  

On Construction of Piecewise Constant Orthonormal Functions Based on Rescaling Cantor Set with their Application in Orthogonal Multiplexing Systems

open access: yesProceedings of the International Conference on Applied Innovations in IT
The purpose of this paper is to construct a novel system of discontinuous piecewise constant orthogonal functions that is complete with respect to the measure of 4-adic-type Cantor-like sets, particularly on a rescaled Cantor set.
Bahram Mohammadzadeh   +2 more
doaj   +1 more source

Phase Engineering of Nanomaterials (PEN): Evolution, Current Challenges, and Future Opportunities

open access: yesAdvanced Materials, EarlyView.
This review summarizes the synthesis, phase transition, advanced characterization spanning ex situ to in situ and operando techniques, and diverse applications of phase engineering of nanomaterials (PEN). It further outlines key challenges and future opportunities, such as phase stability, architecture control, and artificial intelligence (AI)‐driven ...
Ye Chen   +7 more
wiley   +1 more source

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