| タイトル | Using trees to compute approximate solutions to ordinary differential equations exactly |
| 本文（外部サイト） | http://hdl.handle.net/2060/19910019474 |
| 著者（英） | Grossman, Robert |
| 著者所属（英） | Illinois Univ. |
| 発行日 | 1991-04-01 |
| 言語 | eng |
| 内容記述 | Some recent work is reviewed which relates families of trees to symbolic algorithms for the exact computation of series which approximate solutions of ordinary differential equations. It turns out that the vector space whose basis is the set of finite, rooted trees carries a natural multiplication related to the composition of differential operators, making the space of trees an algebra. This algebraic structure can be exploited to yield a variety of algorithms for manipulating vector fields and the series and algebras they generate. |
| NASA分類 | NUMERICAL ANALYSIS |
| レポートNO | 91N28788
LAC90-R24 |
| 権利 | No Copyright |
| URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/131363 |
|
