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Using trees to compute approximate solutions to ordinary differential equations exactly
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Grossman, Robert |
| Copyright Year | 1991 |
| Description | 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. |
| File Size | 383059 |
| Page Count | 12 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19910019474 |
| Archival Resource Key | ark:/13960/t39071m8d |
| Language | English |
| Publisher Date | 1991-04-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Approximation Algebra Algorithms Operators Mathematics Differential Equations Lie Groups Taylor Series Vector Spaces Trees Mathematics Nonlinear Systems 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 |
