A unified approach to analysis of impact oscillations is proposed. Its mathematical essence is the continuous representation of the impulsive motion in some auxiliary variables. As a result an explicit formula for the fundamental matrix is obtained, which allows one to construct the characteristic e
Order Stars and Linear Stability Theory
โ Scribed by M. SOFRONIOU
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 798 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0747-7171
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โฆ Synopsis
Order stars are a powerful modern tool for the development and analysis of numerical methods. They convey important information such as order and stability in a unified framework. A package for rendering order stars becomes part of the standard distribution in the next major release of Mathematica. An introduction to the theory is provided here, set in the context of numerical methods for Ordinary Differential Equations. The implementation is discussed and examples are given to illustrate why a computer algebra system is an ideal environment for the exploration of order stars.
๐ SIMILAR VOLUMES
The aim of this paper is to investigate the Hyers-Ulam stability of the linear differential More precisely, we prove that the equation y (3) (t) + ฮฑy โฒโฒ (t) + ฮฒy โฒ (t) + ฮณ y(t) = f (t) has the Hyers-Ulam stability.