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- W1997588280 abstract "Abstract Gibbs' overshoot refers to the persistent discrepancy between a Fourier series' approximation and actual values near a functional discontinuity. Here this phenomenon is generalized to a fractal discontinuity on a trial function. Analytic results support the conclusion that fractal dimension can parameterize the Gibbs' overshoot on an example sawtooth with a fractal distribution of discontinuous depths. Simulations confirm this finding on a fractal Brownian walk and the devil's staircase. Results indicate that the overshoot arises on a fractal not as much from any general ruggedness, but more from the fractal discontinuity directly." @default.
- W1997588280 created "2016-06-24" @default.
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- W1997588280 date "1993-11-01" @default.
- W1997588280 modified "2023-10-17" @default.
- W1997588280 title "Gibb's overshoot on a fractal" @default.
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- W1997588280 doi "https://doi.org/10.1016/0378-4371(92)00211-j" @default.
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