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Classical eighth- and lower-order runge-kutta-nystroem formulas with a new stepsize control procedure for special second-order differential equations
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Fehlberg, E. |
| Copyright Year | 1973 |
| Description | New Runge-Kutta-Nystrom formulas of the eighth, seventh, sixth, and fifth order are derived for the special second-order (vector) differential equation x = f (t,x). In contrast to Runge-Kutta-Nystrom formulas of an earlier NASA report, these formulas provide a stepsize control procedure based on the leading term of the local truncation error in x. This new procedure is more accurate than the earlier Runge-Kutta-Nystrom procedure (with stepsize control based on the leading term of the local truncation error in x) when integrating close to singularities. Two central orbits are presented as examples. For these orbits, the accuracy and speed of the formulas of this report are compared with those of Runge-Kutta-Nystrom and Runge-Kutta formulas of earlier NASA reports. |
| File Size | 1286764 |
| Page Count | 56 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19730015887 |
| Archival Resource Key | ark:/13960/t1ng9dp04 |
| Language | English |
| Publisher Date | 1973-06-01 |
| Access Restriction | Open |
| Subject Keyword | Formulas Mathematics Errors Tables Data Differential Equations Runge-kutta Method Orbits Coefficients 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 |
