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Relevant bibliographies by topics / Oscillating kernels

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Academic literature on the topic 'Oscillating kernels'

Author: Grafiati

Published: 4 June 2025

Last updated: 15 July 2025

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Journal articles on the topic "Oscillating kernels"

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Bendikov, Alexander, Wojciech Cygan, and Wolfgang Woess. "Oscillating heat kernels on ultrametric spaces." Journal of Spectral Theory 9, no. 1 (2018): 195–226. http://dx.doi.org/10.4171/jst/245.

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Hao, Huang, Hu Shijuan, and Song Jia. "Boundedness of singular integrals with oscillating kernels on weighted Morrey space." Journal of Progressive Research in Mathematics 7, no. 3 (2016): 1036–38. https://doi.org/10.5281/zenodo.3977319.

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Jin, Kun-Peng, Jin Liang, and Ti-Jun Xiao. "Uniform polynomial stability of second order integro-differential equations in Hilbert spaces with positive definite kernels." Discrete & Continuous Dynamical Systems - S 14, no. 9 (2021): 3141. http://dx.doi.org/10.3934/dcdss.2021077.

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<p style='text-indent:20px;'>We are concerned with the polynomial stability and the integrability of the energy for second order integro-differential equations in Hilbert spaces with positive definite kernels, where the memory can be oscillating or sign-varying or not locally absolutely continuous (without any control conditions on the derivative of the kernel). For this stability problem, tools from the theory of existing positive definite kernels can not be applied. In order to solve the problem, we introduce and study a new mathematical concept – <i>generalized positive definite kernel</i> (GPDK). With the help of GPDK and its properties, we obtain an efficient criterion of the polynomial stability for evolution equations with such a general but more complicated and useful memory. Moreover, in contrast to existing positive definite kernels, GPDK allows us to directly express the decay rate of the related kernel.</p>

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Jurkat, W., and G. Sampson. "Two weighted estimates for oscillating kernels I." Studia Mathematica 87, no. 3 (1987): 253–80. http://dx.doi.org/10.4064/sm-87-3-253-280.

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Tatar, Nasser-eddine. "Oscillating kernels and arbitrary decays in viscoelasticity." Mathematische Nachrichten 285, no. 8-9 (2012): 1130–43. http://dx.doi.org/10.1002/mana.201000053.

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Fan, Dashan, and Dachun Yang. "On oscillating kernels in the Besov space." Approximation Theory and its Applications 14, no. 4 (1998): 32–45. http://dx.doi.org/10.1007/bf02856147.

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Boykov, Ilya, Vladimir Roudnev, and Alla Boykova. "Approximate Methods for Calculating Singular and Hypersingular Integrals with Rapidly Oscillating Kernels." Axioms 11, no. 4 (2022): 150. http://dx.doi.org/10.3390/axioms11040150.

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The article is devoted to the issue of construction of an optimal with respect to order passive algorithms for evaluating Cauchy and Hilbert singular and hypersingular integrals with oscillating kernels. We propose a method for estimating lower bound errors of quadrature formulas for singular and hypersingular integral evaluation. Quadrature formulas were constructed for implementation of the obtained estimates. We constructed quadrature formulas and estimated the errors for hypersingular integrals with oscillating kernels. This method is based on using similar results obtained for singular integrals.

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Pan, Yibiao. "L2 estimates for convolution operators with oscillating kernels." Mathematical Proceedings of the Cambridge Philosophical Society 113, no. 1 (1993): 179–93. http://dx.doi.org/10.1017/s0305004100075873.

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Al-Salman, Ahmad. "A Class of Maximal Functions with Oscillating Kernels." Acta Mathematica Sinica, English Series 23, no. 11 (2007): 2003–16. http://dx.doi.org/10.1007/s10114-007-0936-6.

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Jin, Kun-Peng, Jin Liang, and Ti-Jun Xiao. "Global existence of solutions to some semilinear integro-differential evolution equations with sign-varying kernels." Nonautonomous Dynamical Systems 7, no. 1 (2020): 65–71. http://dx.doi.org/10.1515/msds-2020-0109.

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AbstractIn this paper, we study the global existence of solutions to some semilinear integro-differential evolution equations in Hilbert spaces with sign-varying kernels. By treating the problem through fixed point theory and energy method, we obtain the global existence theorem on [0, +∞) of mild and strong solution to the evolution equations with memory effects for oscillating and sign-varying kernels. This theorem generalizes and improves some previous existence results.

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Books on the topic "Oscillating kernels"

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1907-, Kreĭn M. G., ed. Oscillation matrices and kernels and small vibrations of mechanical systems. AMS Chelsea Pub., 2002.

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Book chapters on the topic "Oscillating kernels"

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Osalusi, Oluwasoji John, Azhar Ali Zafar, Maryam Asgir, Dumitru Baleanu, and Muhammad Bilal Riaz. "Case Study of Non-singular Kernel Model for MHD Boundary Layer Flow of a Rate Type Fluid over an Oscillating Plate." In Advances in Mathematical Modelling, Applied Analysis and Computation. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-0179-9_4.

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Holschneider, M. "Introduction To Wavelet Analysis Over." In Wavelets. Oxford University PressOxford, 1995. http://dx.doi.org/10.1093/oso/9780198534815.003.0001.

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Abstract Wavelets comprise the family of translations and dilations of a single function called the wavelet. The name is due to the fact that every wavelet has to have at least some oscillations, and that it is localized. The wavelet transform is the set of scalar products of all dilated and translated wavelets with an arbitrary analysed function. This linear map is a partial isometry and its range is characterized by a reproducing kernel.

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"Oscillations in Microspheres with an Active Kernel." In The Classical and Quantum Dynamics of the Multispherical Nanostructures. PUBLISHED BY IMPERIAL COLLEGE PRESS AND DISTRIBUTED BY WORLD SCIENTIFIC PUBLISHING CO., 2004. http://dx.doi.org/10.1142/9781860946035_0006.

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"Introduction." In Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems. American Mathematical Society, 2002. http://dx.doi.org/10.1090/chel/345/01.

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"Review of matrices and quadratic forms." In Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems. American Mathematical Society, 2002. http://dx.doi.org/10.1090/chel/345/02.

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"Oscillatory matrices." In Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems. American Mathematical Society, 2002. http://dx.doi.org/10.1090/chel/345/03.

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"Small oscillations of mechanical systems with 𝑛 degrees of freedom." In Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems. American Mathematical Society, 2002. http://dx.doi.org/10.1090/chel/345/04.

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"Small oscillations of mechanical systems with an infinite number of degrees of freedom." In Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems. American Mathematical Society, 2002. http://dx.doi.org/10.1090/chel/345/05.

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"Sign-definite matrices." In Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems. American Mathematical Society, 2002. http://dx.doi.org/10.1090/chel/345/06.

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"A method of approximate calculation of eigenvalues and eigenvectors of an oscillatory matrix." In Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems. American Mathematical Society, 2002. http://dx.doi.org/10.1090/chel/345/07.

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Conference papers on the topic "Oscillating kernels"

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Vakakis, A. F., and C. Cetinkaya. "Analytical Study of Dispersion of Stress Waves in a Weakly Coupled Layered System." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0550.

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Abstract Dispersion of transient stress waves in the first layer of a weakly coupled semi-infinite bi-layered system is carried out. Fourier transform inversions are performed analytically by making use of the fact that the weakly coupled system possesses small propagation zones (PZs) in the frequency domain. Low- and high-frequency asymptotic approximations to the transient waves are computed, taking into account frequency components of the transfer function in the first and second PZs, respectively. The derived analytic expressions are superpositions of non-oscillating terms and convolution integrals with decaying oscillatory kernels. Depending on the frequency and the amplitude of the convolution kernels, the dispersed waves overshoot or undershoot the applied impulsive excitation. This result is of significant practical importance in the design of layered systems as stress attenuators.

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Yue, Zhu, Sun Chen, Jiang Shengyao, Yang Xingtuan, and Duan Riqiang. "Study on Kernel Functions of Pressure Oscillation in MPS Method." In 2017 25th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/icone25-67721.

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In this paper,we studied the characteristic of four kernel functions of Moving Particle Semi-implicit method (MPS).In order to find the dependence of pressure oscillation on kernel functions, the dam break problem was selected for as a benchmark.Results showed that proper value of a kernel function was required in the compact support region to smooth the pressure distribution. The value of the kernel function should approach zero when the particle distance was close to the edge of compact support region to avoid large replusive force.When the distance between particles was close to zero,the value of kernel function should be large enough to avoid particle clustering. At the same time,the kernel function should be simple to stabilize the simulation process and decrease the computational time.

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Pichler, Kurt, Martin Scherhaufl, Christian Kastl, and Florian Hammer. "Univariate Oscillation Detection using Kernel Density Estimation." In 2022 International Conference on Electrical, Computer, Communications and Mechatronics Engineering (ICECCME). IEEE, 2022. http://dx.doi.org/10.1109/iceccme55909.2022.9987975.

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Solodusha, Svetlana. "Identification of Symmetric Volterra Kernels Using Piecewise Linear Test Signals." In 2022 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB). IEEE, 2022. http://dx.doi.org/10.1109/stab54858.2022.9807575.

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Calvo, M. L., and V. Lakshminarayanan. "Toward a quantum representation for the Fresnel regime in a linear optical system." In OSA Annual Meeting. Optica Publishing Group, 1989. http://dx.doi.org/10.1364/oam.1989.thg5.

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The mathematical treatment involving Fresnel diffraction in compound linear optical systems presents difficulties due to the high degree of oscillations of the Fresnel integral kernel. Also, it is necessary to impose small pupil dimensions on the elements forming the compound system. A revised formulation for the general system having an arbitrary number of elements and generalized pupil functions allows one to represent the kernel in terms of convolution operations. This leads to a compact representation using Lie algebra operators.

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Deng, Long-Fei, Jian-Guo Wang, Jing-Ru Su, Yuan Yao, and Jian-Long Liu. "Root Cause Diagnosis of Plant Wide Oscillations using Kernel Granger Causality." In 2020 IEEE 9th Data Driven Control and Learning Systems Conference (DDCLS). IEEE, 2020. http://dx.doi.org/10.1109/ddcls49620.2020.9275215.

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Li, Xiangzhi, Jianguo Wang, Huimin Shao, Yuan Yao, and Lilan Liu. "Root Cause Diagnosis of Plant Wide Oscillations based Fuzzy Kernel Granger Causality." In 2021 IEEE 10th Data Driven Control and Learning Systems Conference (DDCLS). IEEE, 2021. http://dx.doi.org/10.1109/ddcls52934.2021.9455662.

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Weilenmann, Markus, Yuan Xiong, Mirko Bothien, and Nicolas Noiray. "Background Oriented Schlieren of Fuel Jet Flapping Under Thermoacoustic Oscillations in a Sequential Combustor." In ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/gt2018-75517.

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This study deals with thermoacoustic instabilities in a generic sequential combustor. The thermoacoustic feedback involves two flames: the perfectly premixed swirled flame anchored in the first stage and the sequential flame established downstream of the mixing section, into which secondary fuel is injected in the vitiated stream from the first stage. It is shown that the large amplitude flapping of the secondary fuel jet in the mixing section plays a key role in the thermoacoustic feedback. This evidence is brought using high-speed Background Oriented Schlieren (BOS). The fuel jet flapping is induced by the intense acoustic field at the fuel injection point. It has two consequences: first, it leads to the advection of equivalence ratio oscillations toward the sequential flame; second, it modulates the residence time of the ignitable mixture in the mixing section, which periodically triggers autoignition kernels developing upstream of the chamber. In addition, the BOS images are processed to quantify the flow velocity in the mixing section and these results are validated using PIV. This study presents a new type of thermoacoustic feedback mechanism which is peculiar to sequential combustion systems. In addition, it demonstrates how BOS can effectively complement other diagnostic techniques that are routinely used for the study of thermoacoustic instabilities.

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Li, Xinpeng, Sheng Fang, and Hong Li. "A Resolution Enhancing Algorithm for Gamma-Ray Spectrum Based on Blind Deconvolution and Lp-Norm Sparsity Constraint." In 2017 25th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/icone25-66923.

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Current gamma-ray spectrum analysis method uses a preset system response matrix to improve the resolution of gamma-ray spectrum. However, the system response matrix may not be available or biased due to limitation of experiment conditions, which can degrade the accuracy of gamma-ray spectrum analysis. To solve the problem, a new reconstruction method based on blind deconvolution and sparsity constraint is proposed to improve the resolution of gamma-ray spectrum in this study. The proposed method models the modulation of spectrometer as a convolution operation and reconstructs the high resolution spectrum as well as the convolution kernel simultaneously. Lp-norm based sparsity constraint is imposed to stabilize the demodulation of spectrometer and reduce the background oscillations, so that the resolution can be enhanced. The results of both numerical simulation and experiments demonstrate that the proposed method can effectively improve the resolution of gamma-ray spectrum and reduce background oscillations without any aid of system response matrix.

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Go´mez, Rafael, Lesme Corredor, Adrian A´vila, Jorge Mendoza, and Antonio Bula. "Analysis and Energy Optimization for Biomethanol Production Using Palm Oil Biomass Residues." In ASME 2011 5th International Conference on Energy Sustainability. ASMEDC, 2011. http://dx.doi.org/10.1115/es2011-54663.

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Palm oil extraction generates a great amount of biomass residues; i.e. kernel pieces, fiber and fruit bunches. The last is the major quantity, but it has limited usage as an energetic source due to physical-chemical characteristics and high humidity. Biodiesel production requires methanol, which is mainly produced form natural gas in very large industrial plants, oscillating between 700×103 to 1400 x103 tons per year. This paper presents an economical and technical analysis for production of biometanol from oil palm biomass residues, considering the requirements for the year 2019 in Colombia, which are expected to be 92.5 x103 tons. Different technological approximations are considered and the different parts for the selected process are dimensioned, due to the small size of the plant required. The process simulation is carried out using ASPENPLUS™, giving a global efficiency around 48%, and a yield of 43% for the biomass used. The production simulation allows comparing with the international price for methanol, and the cutting point is U$ 152/Ton. This value is compared with the international price of crude oil and it was found that it is only superior when the oil price is under U$ 20. Due to the tendency for oil prices to increase, it is feasible, at least form the economical point of view, to develop a small scale biometanol plant.

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