Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 8 of 8 for “"Gibbs Phenomenon"”.
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An Adaptive Approach to Gibbs’ Phenomenon
<p>Gibbs’ Phenomenon, an unusual behavior of functions with sharp jumps, is encountered while applying the Fourier Transform on them. The resulting reconstructions have high frequency oscillations near the jumps making the reconstructions far from being accurate. To get rid of the unwanted …
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The Statistical Theory of Stationary Turbulence
… transforms by demonstrating the existence of a Gibbs phenomenon for the continuous wavelet transform; the overshoot of the reconstructed function, at points of discontinuity, is always smaller than the corresponding overshoot for the Fourier transform.
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An Extension of Essentially Non-Oscillatory Shock-Capturing Schemes to Multi-Dimensional Systems of Conservation Laws
… wherever the function is smooth, and avoids a Gibbs phenomenon at discontinuities.</p> <p>The promising results of Harten et al., in the use of ENO schemes in solving the one-dimensional Euler equations of gas dynamics, have aroused considerable interest in the aerodynamic community. However, …
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Local buckling and crippling of composite stiffener sections
… Fourier Transform are inaccurate due to the Gibbs phenomenon.
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Analysis, Design, and Experimentation of Beam-Like Structures
… analysis overcomes the limitations of the Gibbs phenomenon at discontinuities for a periodically supported beam using a higher order textit{k}-refinement. Next, an Integral Equation Approach (IEA) is implemented using EBT to obtain natural frequencies and buckling loads of periodically …
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Frequency domain approach to self-force calculations
… extended homogeneous solutions to overcome the Gibbs phenomenon associated with a naive approach. As an application of our work we compute the shift to the innermost stable circular orbit due to the conservative piece of the scalar-field self-force for a variety of black hole spins. We also …
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Speeding up high-order algorithms in computational fluid and kinetic dynamics: based on characteristics tracing and low-rank structures
… interest are challenging to capture due to the Gibbs phenomenon, that is, steep oscillations that occur near discontinuities. And third, satisfying physical properties such as conservation, equilibrium preservation and relative entropy dissipation is desired at the discrete level to avoid …
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Discontinuous Galerkin methods for compressible and incompressible flows on space-time adaptive meshes
… spurious oscillations, namely the so-called ’Gibbs phenomenon’. Over the years, several attempts have been made to cope with this problem and different kinds of limiters have been proposed. Among them, a rather intriguing paradigm has been defined in the work of [71], in which the nonlinear …