Loading...
Please wait, while we are loading the content...
Similar Documents
Global collocation methods for approximation and the solution of partial differential equations
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Solomonoff, A. Turkel, E. |
| Copyright Year | 1986 |
| Description | Polynomial interpolation methods are applied both to the approximation of functions and to the numerical solutions of hyperbolic and elliptic partial differential equations. The derivative matrix for a general sequence of the collocation points is constructed. The approximate derivative is then found by a matrix times vector multiply. The effects of several factors on the performance of these methods including the effect of different collocation points are then explored. The resolution of the schemes for both smooth functions and functions with steep gradients or discontinuities in some derivative are also studied. The accuracy when the gradients occur both near the center of the region and in the vicinity of the boundary is investigated. The importance of the aliasing limit on the resolution of the approximation is investigated in detail. Also examined is the effect of boundary treatment on the stability and accuracy of the scheme. |
| File Size | 2012341 |
| Page Count | 68 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19870001312 |
| Archival Resource Key | ark:/13960/t02z6406w |
| Language | English |
| Publisher Date | 1986-09-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Approximation Partial Differential Equations Collocation Spectrum Analysis Problem Solving Polynomials Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Article |
