2017年06月26日 |  English version
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The Concept of Stability in Numerical Mathematics

报告题目:The Concept of Stability in Numerical Mathematics

报告人:Prof. Dr. Rudolf Scherer,KARLSRUHE INSTITUTE OF TECHNOLOGY (KIT), Germany

报告时间:2017年6月22日(周四)15:00

报告地点:行健楼学术报告室526

邀请人:王雨顺 教授

摘要:Stability is a concept that appears in various fields of numerical mathematics as well as in other parts of mathematics, and there is a common meaning for stability, roughly described by the fact that perturbations are not amplifying the result in a dangerous way. But mostly in each subfield stability is differently defined. Although the stability definition is inspired by numerical phenomena, it is also suited to purely analytical purposes. In numerical mathematics, we have to distinguish between finite algorithms, such as Gauss elimination method for solving a system of linear equations, and approximation algorithms where consistency, convergence and stability are important, such as fixpoint methods and discrete methods for differential equations. This lecture presents an overview to stability concepts in numerical mathematics.

References
Wolfgang Hackbusch: The Concept of Stability in Numerical Mathematics (Springer 2014).
Nicolas J. Higham: Accuracy and Stability of Numerical Algorithms (SIAM, Philadelphia 2002).

报告人简介:scherer-cv-china2017 (1)

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