2010年8月
How to discretize differential systems in a systematic way
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
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- 巻
- 43
- 号
- 31
- 記述言語
- 英語
- 掲載種別
- DOI
- 10.1088/1751-8113/43/31/315203
- 出版者・発行元
- IOP PUBLISHING LTD
We present a systematic approach to the construction of discrete analogues for differential systems. Our method is tailored to first-order differential equations and relies on a formal linearization, followed by a Pade-like rational approximation of an exponential evolution operator. We apply our method to a host of systems for which there exist discretization results obtained by what we call the 'intuitive' method and compare the discretizations obtained. A discussion of our method as compared to one of the Mickens is also presented. Finally we apply our method to a system of coupled Riccati equations with emphasis on the preservation of the integrable character of the differential system.
- リンク情報
- ID情報
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- DOI : 10.1088/1751-8113/43/31/315203
- ISSN : 1751-8113
- Web of Science ID : WOS:000279874800009