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The concept of stability in numerical mathematics / Wolfgang Hackbusch

By: Resource type: Ressourcentyp: BuchBookPublisher number: 86276945Language: English Series: Springer series in computational mathematics ; 45Publisher: Berlin ; Heidelberg [u.a.] : Springer, [2014]Description: xv, 188 Seiten ; 235 mm x 155 mmISBN:
  • 3642393853
  • 9783642393853
  • 9783662513712
Subject(s): Additional physical formats: No title | 9783642393860. | Erscheint auch als: The Concept of Stability in Numerical Mathematics. Online-Ausgabe Berlin, Heidelberg : Springer Berlin Heidelberg, 2014. Online-Ressource (XV, 188 p, online resource)MSC: MSC: *65M12 | 65N12 | 65L20 | 65-02 | 65R20 | 65L05 | 65D32 | 65D05 | 65L06 | 34A34 | 65M06 | 65N30 | 35K20 | 35L20 | 35J25 | 45B05RVK: RVK: SK 900LOC classification:
  • QA297
Contents:
Summary: 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 stabilityPPN: PPN: 1604867094
Holdings
Item type Home library Shelving location Call number Status Notes Date due Barcode
Handbibliothek Fakultät für Mathematik Handbibliothek (Ausleihe und Einsicht nicht möglich) Num. Math. / Hac Checked out Ausleihe und Einsicht nicht möglich Standort: FBM-Handapparat 21 07.12.2035 36340503090
Total holds: 0