Loading...
Please wait, while we are loading the content...
Similar Documents
On the gibbs phenomenon 3: recovering exponential accuracy in a sub-interval from a spectral partial sum of a piecewise analytic function
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Shu, Chi-Wang Gottlieb, David |
| Copyright Year | 1993 |
| Description | The investigation of overcoming Gibbs phenomenon was continued, i.e., obtaining exponential accuracy at all points including at the discontinuities themselves, from the knowledge of a spectral partial sum of a discontinuous but piecewise analytic function. It was shown that if we are given the first N expansion coefficients of an L(sub 2) function f(x) in terms of either the trigonometrical polynomials or the Chebyshev or Legendre polynomials, an exponentially convergent approximation to the point values of f(x) in any sub-interval in which it is analytic can be constructed. |
| File Size | 607988 |
| Page Count | 22 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19940018805 |
| Archival Resource Key | ark:/13960/t72v7g228 |
| Language | English |
| Publisher Date | 1993-11-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Discontinuity Analytic Functions Gibbs Phenomenon Chebyshev Approximation Legendre Functions Polynomials Fourier Series Trigonometric Functions Coefficients Convergence Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
