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The simultaneous integration of many trajectories using nilpotent normal forms
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Grayson, Matthew A. Grossman, Robert |
| Copyright Year | 1990 |
| Description | Taylor's formula shows how to approximate a certain class of functions by polynomials. The approximations are arbitrarily good in some neighborhood whenever the function is analytic and they are easy to compute. The main goal is to give an efficient algorithm to approximate a neighborhood of the configuration space of a dynamical system by a nilpotent, explicitly integrable dynamical system. The major areas covered include: an approximating map; the generalized Baker-Campbell-Hausdorff formula; the Picard-Taylor method; the main theorem; simultaneous integration of trajectories; and examples. |
| File Size | 385685 |
| Page Count | 12 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19910004637 |
| Archival Resource Key | ark:/13960/t07x19176 |
| Language | English |
| Publisher Date | 1990-05-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Theorems Approximation Algebra Algorithms Differential Equations Lie Groups Group Theory Polynomials Iteration Trajectories 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 |
