The Concept of Stability in Numerical Mathematics
- 種類:
- 電子ブック
- 責任表示:
- by Wolfgang Hackbusch
- 出版情報:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014
- 著者名:
- シリーズ名:
- Springer Series in Computational Mathematics ; 45
- ISBN:
- 9783642393860 [3642393861]
- 注記:
- 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
- ローカル注記:
- 岐阜大学構成員専用E-BOOKS (Gifu University members only)
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