Search Results - Numerical methods for discrete and fast Fourier transforms

Discrete Pseudo-differential Operators and Applications to Numerical Schemes by Faou, Erwan, Grébert, Benoît

“…We consider a class of discrete operators introduced by O. Chodosh, acting on infinite sequences and mimicking standard properties of pseudo-differential operators…”
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A fast numerical method for the conductivity of heterogeneous media with Dirichlet boundary conditions based on discrete sine–cosine transforms by Morin, Léo, Paux, Joseph

“…The aim of this work is to develop a fast numerical method for solving conductivity problems in heterogeneous media subjected to Dirichlet boundary conditions…”
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Numerical estimation of the permeability of granular soils using the DEM and LBM or FFT-based fluid computation method by Nguyen, Ngoc Son, Bignonnet, François

“…) and a Fast Fourier Transform (FFT) based method. The results given by both methods are shown to be consistent with semi-analytical and experimental results…”
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Transient and steady-state viscoelastic contact responses of layer-substrate systems with interfacial imperfections by Zhang, Xin, Wang, Q. Jane, He, Tao

“… Instead of using the integration form of the creep function, viscoelastic modulus Ε(ω) is directly incorporated into the viscoelastic FRFs by a frequency-velocity transform that links the time-related frequency, ω…”
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A SAM-FFT based model for 3D steady-state elastodynamic frictional contacts by Zhang, Xin, Wang, Q. Jane

“… Fast numerical techniques used are based on the conjugate gradient method (CGM) for obtaining unknown pressure distribution in the contact interface, and the discrete convolution-fast Fourier transform (DC-FFT…”
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Application of the discrete Fourier transform to solving the Cauchy integral equation by Kolybasova, V.V., Krutitskii, P.A., Prozorov, K.V., Vainikko, G.

“… A fast and accurate numerical method based on the discrete Fourier transform is proposed…”
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Design and finite element simulation of metal-core piezoelectric fiber/epoxy matrix composites for virus detection by Wang, Yinli, Shi, Yu, Narita, Fumio

“…[Display omitted] •The electromechanical response is simulated to assess the sensitivity of biosensor.•The design parameters, such as the position and size of…”
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Decoupled local/global energy-preserving schemes for the N-coupled nonlinear Schrödinger equations by Cai, Jiaxiang, Bai, Chuanzhi, Zhang, Haihui

“… Schrödinger equations, especially of the multi-dimensional case. The composition method is employed to improve the accuracy of the schemes in time and the discrete fast Fourier transform is used to reduce the computational complexity. Several numerical experiments are carried out to exhibit the behaviors of the wave solutions. Numerical results confirm the theoretical results…”
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Numerical treatment of the Cauchy integral equation by discrete Fourier transform by Kolybasova, Valentina, Krutitskii, Pavel, Prozorov, Konstantin, Vainikko, Gennadi

“… A fast and accurate numerical method based on the discrete Fourier transform is proposed…”
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An LT-FFT based model for diffusion-affected contacts by Zhang, Xin, Wang, Q. Jane, Zeng, Zhi, Wu, Yichuan, Peng, Bei

“… The mathematical solutions are so formulated that the fast numerical techniques can be utilized, including the combined Laplace-Talbot and discrete convolution-fast Fourier transform (LT-FFT…”
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A Novel Hybrid Transform approach with integration of Fast Fourier, Discrete Wavelet and Discrete Shearlet Transforms for prediction of surface roughness on machined surfaces by Prabhakar, D.V.N., Sreenivasa Kumar, M., Gopala Krishna, A.

“…•Integrated Fourier-Wavelet-Shearlet transform is used for predicting surface roughness.•Prediction error of MLFFANN training with cutting and vision parameters is less…”
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A fourth-order kernel-free boundary integral method for implicitly defined surfaces in three space dimensions by Xie, Yaning, Ying, Wenjun

“…•A fourth-order kernel-free boundary integral method in three space dimensions.•Representation of irregular surfaces by intersection points with a Cartesian grid…”
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Exploring Stochastic Heat Equations: A Numerical Analysis with Fast Discrete Fourier Transform Techniques by Khattab, Ahmed G., Semary, Mourad S., Hammad, Doaa A., Fareed, Aisha F.

“… Our approach uniquely combines a sixth-order compact finite difference algorithm with fast discrete Fourier transforms…”
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Convolutional discrete Fourier transform method for calculating thermal neutron cross section in liquids by Du, Rong, Cai, Xiao-Xiao

“… In this work, a new numerical method, called convolutional discrete Fourier transform, is proposed to perform Fourier transform of exp⁡[−f…”
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A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation by Li, Buyang, Wu, Yifei

“… The method can be implemented by using fast Fourier transform with O ( N ln N ) operations at every time level, and is proved to have an L 2 -norm error bound of O ( τ ln ( 1 / τ ) + N - 1…”
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Analysis on Spatial Spectrum of Magnetic Flux Leakage Using Fourier Transform by Li, Erlong, Kang, Yihua, Tang, Jian, Wu, Jianbo, Yan, Xizi

“… The results are analytical functions different from other numerical methods, such as the discrete FT and fast FT methods, and the calculation…”
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Indexing in the Good–Thomas Fast Fourier Transform Algorithm by Bespalov, M. S.

“…–Thomas algorithm for implementing the discrete Fourier transform. Specific examples are used to show how its superposition with a fast algorithm of constant structure can be constructed…”
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Sub-Rayleigh elastodynamic frictional contact of a layer-substrate system by Wang, Yuxing, Zhang, Xin, Keer, Leon M., Shen, Huoming

“… The stress and the displacement fields are calculated with the discrete convolution-fast Fourier transform algorithm…”
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Transform Coefficient Histogram-Based Image Enhancement Algorithms Using Contrast Entropy by Agaian, S.S., Silver, B., Panetta, K.A.

“… This paper proposes three methods of image enhancement: a) logarithmic transform histogram matching, b…”
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Landslide reconstruction using seismic signal characteristics and numerical simulations: Case study of the 2017 “6.24” Xinmo landslide by Yan, Yan, Cui, Yifei, Guo, Jian, Hu, Sheng, Wang, Ziang, Yin, Shuyao

“… Numerical simulations using two-dimensional discrete element methods (DEM) are performed to simulate landslide dynamics using the calculated kinetic energy profile…”
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