Poisson series appear frequently in problems of non-linear dynamics and celestial mechanics. The size of such mathematical objects makes their manipulation by means of general symbolic processors (GSP) inefficient. Special processors named Poisson series processors (PSP) have been created to handle
Algebraic and Symbolic Manipulation of Poisson Series
✍ Scribed by Félix San-Juan; Alberto Abad
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 242 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0747-7171
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✦ Synopsis
Efficiency in handling Poisson series is essential to obtain high-accuracy analytical theories in celestial mechanics and non-linear dynamics in general. A good knowledge of the mathematical structure of these objects is fundamental to create data structures to store and handle efficiently its equivalent computational object. In this paper we analyse the mathematical, symbolic and computational structure of Poisson series.
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