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An adaptive pseudo-spectral method for reaction diffusion problems
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Matkowsky, B. J. Gottlieb, D. Minkoff, M. Bayliss, A. |
| Copyright Year | 1987 |
| Description | The spectral interpolation error was considered for both the Chebyshev pseudo-spectral and Galerkin approximations. A family of functionals I sub r (u), with the property that the maximum norm of the error is bounded by I sub r (u)/J sub r, where r is an integer and J is the degree of the polynomial approximation, was developed. These functionals are used in the adaptive procedure whereby the problem is dynamically transformed to minimize I sub r (u). The number of collocation points is then chosen to maintain a prescribed error bound. The method is illustrated by various examples from combustion problems in one and two dimensions. |
| File Size | 870393 |
| Page Count | 44 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19880002032 |
| Archival Resource Key | ark:/13960/t1hj1dn7g |
| Language | English |
| Publisher Date | 1987-10-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Interpolation Problem Solving Chebyshev Approximation Combustion Mathematical Models Galerkin Method Diffusion Spectral Methods Convection Thermal Stability 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 |
