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Numerical methods for nonlinear partial differential equations / Sören Bartels

By: Resource type: Ressourcentyp: BuchBookLanguage: English Series: Springer series in computational mathematics ; 47Publisher: Cham ; Heidelberg : Springer, 2015Description: X, 393 Seiten : IllustrationenISBN:
  • 9783319137964
Subject(s): Additional physical formats: 9783319137971. | Erscheint auch als: Numerical Methods for Nonlinear Partial Differential Equations. Online-Ausg. Cham [u.a] : Springer, 2015. Online-Ressource (X, 393 p. 122 illus, online resource) | Erscheint auch als: Numerical Methods for Nonlinear Partial Differential Equations. Online-Ausg. (SpringerLink) Cham [u.a] : Springer, 2015. Online-Ressource (X, 393 p. 122 illus, online resource)MSC: MSC: *65-02 | 65M60 | 65N30 | 74G65 | 74S05 | 80M30 | 65M30 | 65N20RVK: RVK: SI 990 | SK 920 | SK 540LOC classification:
  • QA297-299.4
DOI: DOI: 10.1007/978-3-319-13797-1
Contents:
Summary: The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations. This monograph devises numerical methods for nonlinear model problems arising in the mathematical description of phase transitions, large bending problems, image processing, and inelastic material behavior. For each of these problems the underlying mathematical model is discussed, the essential analytical properties are explained, and the proposed numerical method is rigorously analyzed. The practicality of the algorithms is illustrated by means of short implementationsPPN: PPN: 821496565
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Handbibliothek Fakultät für Mathematik Handbibliothek (Ausleihe und Einsicht nicht möglich) Num. Math. / Bar Checked out Ausleihe und Einsicht nicht möglich Standort: FBM-Handapparat 21 07.12.2035 36384987090
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