Results 111 to 120 of about 2,687,450 (307)

Fast Hilbert Transform

open access: yesScientific Contributions Oil and Gas, 2022
The use of Hilbert Transform is becoming more and more Important for analysis and processing of geophysical data. However, the direct mathematical formulation in the form of contour integration is not easy to pro. A specific formulation which relates the Hilbert transform and the Fourier transform has been established for developing a computer ...
openaire   +1 more source

Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo   +2 more
wiley   +1 more source

Synthesis of Spatially Correlated Earthquake Ground Motions Based on Hilbert Transform

open access: yesModelling and Simulation in Engineering, 2017
A simplified method for synthesizing spatially correlated earthquake ground motions is developed based on Hilbert transform and a reference earthquake record. In this method, one reference earthquake record is treated as the original ground motion, based
Erlei Yao, Yu Miao, Guobo Wang
doaj   +1 more source

Finite Hilbert transforms

open access: yesJournal of Approximation Theory, 2015
For \(f\in L^{p}(\mathbb{R})\), \(1\leq p\leq \infty\), its Hilbert transform is defined by \(\tilde{f}(x)=\frac{1}{\pi}(p.v.)\int_{-\infty}^{\infty}\frac{f(t)}{x-t}dt\). For \(E\) a union of disjoint compact intervals, i.e. \(\displaystyle E=[a_{1}, a_{2}]\cup [a_{3}, a_{4}]\cup \dots [a_{2 k-1}, a_{2 k}]\), where \(a_{1}1\) then the inversion formula
openaire   +1 more source

Shape Derivatives of the Eigenvalues of the de Rham Complex for Lipschitz Deformations and Variable Coefficients: Part II

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti   +2 more
wiley   +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen   +3 more
wiley   +1 more source

Social Sustainability in Circular Bioeconomy Business Models: Insights From Argentina

open access: yesSustainable Development, EarlyView.
ABSTRACT Research on circular bioeconomy business models (CBEBM) has largely prioritised environmental and economic aspects, leaving out the social pillar. To address this gap, this paper analyses to what extent and in what ways social sustainability is integrated into CBEBM, based on 12 cases from northern Argentina, a region with high potential for ...
Celina N. Amato   +2 more
wiley   +1 more source

Recognition of Spatiotemporal Feature Images of Zero‐Sequence Voltage for Single‐Phase High‐Impedance Ground Faults Under Complex Conditions

open access: yesHigh Voltage, EarlyView.
ABSTRACT Diagnosing high‐impedance ground faults (HIGFs) in distribution networks is extremely challenging because high transition resistance significantly reduces electrical signal strength and unpredictable initial fault phase angles coupled with asymmetric voltage disturbances often lead to misclassification.
Zhengyang Li   +5 more
wiley   +1 more source

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