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Adaptive super-resolution UAV inspection and image perception strategy planning for distribution networks. [PDF]
Sci RepLiu J, Xu G, Ma Y.
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Fourier and microlocal methods for quantum Rabi systems. [PDF]
Ann Univ Ferrara Sez 7 Sci MatMalagutti M, Parmeggiani A.
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OptiGAN for crystal arrays: physics-informed generative modeling of optical photon transport in PET detector arrays. [PDF]
Phys Med BiolNaunheim S +4 more
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Analyzing Orbital Angular Momentum (OAM) mode via localized beam sampling. [PDF]
Sci RepMehra A, Arnon S.
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Stability of the Fourier Method
SIAM Journal on Numerical Analysis, 1979In this paper we develop a stability theory for the Fourier (or pseudo-spectral) method for linear hyperbolic and parabolic partial differential equations with variable coefficients.
Kreiss, Heinz-Otto, Oliger, Joseph
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New methods for Fourier analysis and Fourier synthesis
IEEE Signal Processing Letters, 1999A basic and important relation between square wave and sine-cosine function is presented. This relation leads to completely new methods for Fourier analysis and Fourier synthesis.
Yuchuan Wei +2 more
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2009
We consider a straight homogeneous metal rod of length l, cross-section S, and density ρ. We choose the axis x along the rod, and let x = 0 be the left end of the rod, so that x = l is its right end. Denote by u(x,t) the temperature of the rod at a point x at the moment t > 0. We assume that the cross-section is small, so that u depends only on x.
Alexander Komech, Andrew Komech
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We consider a straight homogeneous metal rod of length l, cross-section S, and density ρ. We choose the axis x along the rod, and let x = 0 be the left end of the rod, so that x = l is its right end. Denote by u(x,t) the temperature of the rod at a point x at the moment t > 0. We assume that the cross-section is small, so that u depends only on x.
Alexander Komech, Andrew Komech
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On the direct Fourier method for computer tomography
IEEE Transactions on Medical Imaging, 2000The paper considers the direct Fourier methods (DFM's) for reconstructing an image from its given X-ray projections. The main purpose here is to use concepts from numerical analysis to estimate the errors in the methods. We also suggest an alternative to the interpolations involved in the DFM's and estimate the number of terms involved.
David I. Gottlieb +2 more
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Computation of Invariant Tori by the Fourier Methods
SIAM Journal on Scientific Computing, 1997Summary: We study systems of functional equations (FEs) and first-order partial differential equations (PDEs) suggested in [\textit{L. Dieci, J. Lorenz} and \textit{R. D. Russell}, SIAM J. Sci. Stat. Comput. 12, 607-647 (1991; Zbl 0725.65074) and \textit{A. C. Morlet} and \textit{J. Lorenz}, SIAM J. Numer. Anal. 29, No.
Mingyou Huang +2 more
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