Results 41 to 50 of about 273,195 (168)
Mixed Fourier–Jacobi spectral method
Journal of Mathematical Analysis and Applications, 2006 The paper deals with a mixed Fourier-Jacobi spectral method and its applications. The authors establish results on the mixed Fourier-Jacobi approximation as a linear model is considered first and then a nonlinear Klein-Gordon equation is studied. Results for stability and convergence of the schemes are proved.
Wang, Li-Lian, Guo, Ben-Yu
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An Improved Radon-Fourier Transform Coherent Integration Method
IEEE Access, 2019 Radar plays an increasingly important role in target detection because of its all-weather detection capability. Furthermore, to detect weak and flexible target, effectively coherent integration method is required in radar signal processing to enhance the
Yongkun Song +3 more
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Compressive Split-Step Fourier Method
, 2015 In this paper an approach for decreasing the computational effort required for the split-step Fourier method (SSFM) is introduced. It is shown that using the sparsity property of the simulated signals, the compressive sampling algorithm can be used as a very efficient tool for the split-step spectral simulations of various phenomena which can be ...
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Mixed Jacobi-Fourier spectral method for Fisher equation
Mathematical Modelling and Analysis, 2018 In this paper, we propose a mixed Jacobi-Fourier spectral method for solving the Fisher equation in a disc. Some mixed Jacobi-Fourier approximation results are established, which play important roles in numerical simulation of various problems defined in ...
Yujian Jiao +3 more
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Fourier-Sparsity Integrated Method for Complex Target ISAR Imagery
Sensors, 2015 In existing sparsity-driven inverse synthetic aperture radar (ISAR) imaging framework a sparse recovery (SR) algorithm is usually applied to azimuth compression to achieve high resolution in the cross-range direction.
Xunzhang Gao +3 more
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IEEE Access, 2019 convolutional neural networks (CNNs) in the frequency domain is of great significance for extending the deep learning principle to the frequency domain.
Jinhua Lin, Lin Ma, Yu Yao
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Multidimensional Fourier Methods
, 2018 In this chapter, we consider d-dimensional Fourier methods for fixed \(d\in \mathbb N\). We start with Fourier series of d-variate, 2π-periodic functions \(f:\,\mathbb T^d \to \mathbb C\) in Sect. 4.1, where we follow the lines of Chap. 1. In particular, we present basic properties of the Fourier coefficients and learn about their decay for smooth ...
Plonka, Gerlind +7 more
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On some inverse problems for a degenerate parabolic equation with involution
Open MathematicsIn this paper, the solvability of some initial-boundary value problems is considered for a nonlocal analogue of the degenerate parabolic equation. The inverse problems are studied for the case where it is necessary to find not only a solution to the ...
Turmetov Batirkhan, Shalkhar Ainur
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Fourier Spectral Method for Nonlinear Time-Fractional Sine-Gordon Equations
MathematicsIn this paper, the nonlinear time-fractional Sine-Gordon equation is investigated via the Fourier spectral method. The time-fractional derivative is approximated by the L1 approximation scheme, and the spatial component is discretized using the Fourier ...
Luyan Zhen, Lihua Jiang, Wenping Chen
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Discrete Fourier transform as a basis for steganographic method
Trudy Odesskogo Politehničeskogo Universiteta, 2014 Actuality of developing of new steganographic methods doesn’t cause doubts due to the rapid development of information technologies and considerable minuses of existing steganomethods.
Maria O. Kozina
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