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On the removal of boundary errors caused by runge-kutta integration of non-linear partial differential equations
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Abarbanel, Saul Carpenter, Mark H. Gottlieb, David |
| Copyright Year | 1994 |
| Description | It has been previously shown that the temporal integration of hyperbolic partial differential equations (PDE's) may, because of boundary conditions, lead to deterioration of accuracy of the solution. A procedure for removal of this error in the linear case has been established previously. In the present paper we consider hyperbolic (PDE's) (linear and non-linear) whose boundary treatment is done via the SAT-procedure. A methodology is present for recovery of the full order of accuracy, and has been applied to the case of a 4th order explicit finite difference scheme. |
| File Size | 425314 |
| Page Count | 16 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19950010489 |
| Archival Resource Key | ark:/13960/t6k120w3x |
| Language | English |
| Publisher Date | 1994-09-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Errors Time Dependence Accuracy Difference Equations Partial Differential Equations Finite Difference Theory Runge-kutta Method Nonlinearity Boundary Conditions Hyperbolic Differential Equations 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 |
