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The eigenvalues of the pseudospectral Fourier approximation to the operator sin (2x) d/dx
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Tal-Ezer, H. |
| Copyright Year | 1985 |
| Description | It is shown that the eigenvalues Z sub i of the pseudospectral Fourier approximation to the operator sin(2x) curly d/curly dx satisfy (R sub e) (Z sub i) = + or - 1 or (R sub e)(Z sub I) = 0. Whereas this does not prove stability for the Fourier method, applied to the hyperbolic equation U sub t = sin (2x)(U sub x) - pi x pi; it indicates that the growth in time of the numerical solution is essentially the same as that of the solution to the differential equation. |
| File Size | 225125 |
| Page Count | 16 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19850012419 |
| Archival Resource Key | ark:/13960/t24b7zd2m |
| Language | English |
| Publisher Date | 1985-02-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Theorems Approximation Operators Mathematics Differential Equations Eigenvalues Fourier Analysis Matrices Mathematics 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 |
