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On the gibbs phenomenon 1: recovering exponential accuracy from the fourier partial sum of a non-periodic analytic function
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Shu, Chi-Wang Solomonoff, Alex Gottlieb, David Vandeven, Herve |
| Copyright Year | 1992 |
| Description | It is well known that the Fourier series of an analytic or periodic function, truncated after 2N+1 terms, converges exponentially with N, even in the maximum norm, although the function is still analytic. This is known as the Gibbs phenomenon. Here, we show that the first 2N+1 Fourier coefficients contain enough information about the function, so that an exponentially convergent approximation (in the maximum norm) can be constructed. |
| File Size | 922087 |
| Page Count | 30 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19920015730 |
| Archival Resource Key | ark:/13960/t4rj9c63b |
| Language | English |
| Publisher Date | 1992-02-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Accuracy Analytic Functions Fourier Series Gibbs Phenomenon Periodic Functions Convergence Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Article |
