The concept of stability in numerical mathematics [electronic resource]
- 作者： Hackbusch, Wolfgang. author.
- 其他作者：
- 其他題名：
- Springer series in computational mathematics
- 出版： Berlin, Heidelberg : Springer Berlin Heidelberg :Imprint: Springer
- 叢書名： Springer series in computational mathematics45
- 主題： Numerical analysis , Stability , Mathematics , Numerical analysis , Partial Differential Equations. , Integral equations
- ISBN： 9783642393860 (electronic bk.) 、 9783642393853 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
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讀者標籤：
- 系統號： 005116807 | 機讀編目格式
館藏資訊
In this book, the author compares the meaning of stability in different subfields of numerical mathematics. Concept of Stability in numerical mathematics opens by examining the stability of finite algorithms. A more precise definition of stability holds for quadrature and interpolation methods, which the following chapters focus on. The discussion then progresses to the numerical treatment of ordinary differential equations (ODEs). While one-step methods for ODEs are always stable, this is not the case for hyperbolic or parabolic differential equations, which are investigated next. The final chapters discuss stability for discretisations of elliptic differential equations and integral equations. In comparison among the subfields we discuss the practical importance of stability and the possible conflict between higher consistency order and stability.