Results 211 to 220 of about 281,878 (266)

Stability of the Fourier Method

SIAM Journal on Numerical Analysis, 1979
In 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
openaire   +2 more sources

New methods for Fourier analysis and Fourier synthesis

IEEE Signal Processing Letters, 1999
A 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
openaire   +1 more source

The Fourier method

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
openaire   +1 more source

On the direct Fourier method for computer tomography

IEEE Transactions on Medical Imaging, 2000
The 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
openaire   +2 more sources

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