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| Verfasst von: | Botelho, Fabio [VerfasserIn]  |
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| Titel: | The numerical method of lines and duality principles applied to models in physics and engineering |
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| Verf.angabe: | Fabio Silva Botelho |
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| Ausgabe: | First edition |
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| Verlagsort: | Boca Raton ; London ; New York |
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| Verlag: | CRC Press, Taylor & Francis Group |
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| Jahr: | 2024 |
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| Umfang: | 1 Online-Ressource (xiii, 313 Seiten) |
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| Fussnoten: | Description based on publisher supplied metadata and other sources |
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| ISBN: | 978-1-003-84842-4 |
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| Abstract: | Cover -- Title Page -- Copyright Page -- Preface -- Acknowledgments -- Table of Contents -- Section I: The Generalized Method of Lines -- 1. The Generalized Method of Lines Applied to a Ginzburg-Landau Type Equation -- 1.1 Introduction -- 1.2 On the numerical procedures for Ginzburg-Landau type ODEs -- 1.3 Numerical results for related P.D.E.s -- 1.3.1 A related P.D.E on a special class of domains -- 1.3.2 About the matrix version of G.M.O.L. -- 1.3.3 Numerical results for the concerning partial differential equation -- 1.4 A numerical example concerning a Ginzburg-Landau type equation -- 1.4.1 About the concerning improvement for the generalized method of lines -- 1.4.2 Software in Mathematica for solving such an equation -- 1.5 The generalized method of lines for a more general domain -- 1.6 Conclusion -- 2. An Approximate Proximal Numerical Procedure Concerning the Generalized Method of Lines -- 2.1 Introduction -- 2.2 The numerical method -- 2.3 A numerical example -- 2.4 A general proximal explicit approach -- 2.5 Conclusion -- 3. Approximate Numerical Procedures for the Navier-Stokes System through the Generalized Method of Lines -- 3.1 Introduction -- 3.2 Details about an equivalent elliptic system -- 3.3 An approximate proximal approach -- 3.4 A software in MATHEMATICA related to the previous algorithm -- 3.5 The software and numerical results for a more specific example -- 3.6 Numerical results through the original conception of the generalized method of lines for the Navier-Stokes system -- 3.7 Conclusion -- 4. An Approximate Numerical Method for Ordinary Differential Equation Systems with Applications to a Flight Mechanics Model -- 4.1 Introduction -- 4.2 Applications to a flight mechanics model -- 4.3 Acknowledgements -- Section II: Calculus of Variations, Convex Analysis and Restricted Optimization. |
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| URL: | Aggregator: https://ebookcentral.proquest.com/lib/kxp/detail.action?docID=30985774 |
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| Datenträger: | Online-Ressource |
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| Sprache: | eng |
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| Bibliogr. Hinweis: | Erscheint auch als : Druck-Ausgabe: Botelho, Fabio Silva: The numerical method of lines and duality principles applied to models in physics and engineering. - First edition. - Boca Raton : CRC Press, Taylor & Francis Group, 2024. - pages cm |
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| K10plus-PPN: | 187236702X |
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| Lokale URL UB: |  Zum Volltext |
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978-1-003-84842-4
¬The¬ numerical method of lines and duality principles applied to models in physics and engineering / Botelho, Fabio [VerfasserIn]; 2024 (Online-Ressource)
69185891
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