| Article ID: | iaor19961774 |
| Country: | Japan |
| Volume: | 36 |
| Issue: | 3 |
| Start Page Number: | 509 |
| End Page Number: | 517 |
| Publication Date: | Mar 1995 |
| Journal: | Transactions of the Information Processing Society of Japan |
| Authors: | Tanaka Masatsugu, Yamasita Tadashi, Mimura Kazumasa, Yamasita Sigeru |
| Keywords: | numerical analysis, differential equations |
The authors research the relations among the truncation error, the stability and the free parameters of the solution for the equations of order conditions in the 3-stage 5th-order implicit Runge-Kutta method, and make tables and graphs from their relationship. By the observation of them they can know the merits, demerits and the possibility of betterment in the known methods. The authors derive the method that has minimum truncation error in a sense for any stability. [In Japanese.]