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Uniformly high-order accurate non-oscillatory schemes, 1
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Osher, S. Harten, A. |
| Copyright Year | 1985 |
| Description | The construction and the analysis of nonoscillatory shock capturing methods for the approximation of hyperbolic conservation laws was begun. These schemes share many desirable properties with total variation diminishing schemes (TVD), but TVD schemes have at most first order accuracy, in the sense of truncation error, at extreme of the solution. A uniformly second order approximation was constucted, which is nonoscillatory in the sense that the number of extrema of the discrete solution is not increasing in time. This is achieved via a nonoscillatory piecewise linear reconstruction of the solution from its cell averages, time evolution through an approximate solution of the resulting initial value problem, and averaging of this approximate solution over each cell. |
| File Size | 19481633 |
| Page Count | 62 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19850019278 |
| Archival Resource Key | ark:/13960/t40s4nj1v |
| Language | English |
| Publisher Date | 1985-06-10 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Conservation Laws Time Dependence Approximation Partial Differential Equations Smoothing Finite Difference Theory Nonoscillatory Action Scalars Tvd Schemes Computational Grids Discrete Functions 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 |
