Methods of Mathematical Modelling : Continuous Systems and Differential Equations / / by Thomas Witelski, Mark Bowen
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| Autore: |
Witelski Thomas
|
| Titolo: |
Methods of Mathematical Modelling : Continuous Systems and Differential Equations / / by Thomas Witelski, Mark Bowen
|
| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Edizione: | 1st ed. 2015. |
| Descrizione fisica: | 1 online resource (XVIII, 305 p. 50 illus., 45 illus. in color.) |
| Disciplina: | 511.8 |
| Soggetto topico: | Differential equations |
| Differential equations, Partial | |
| Mathematical physics | |
| Mathematical models | |
| Calculus of variations | |
| Ordinary Differential Equations | |
| Partial Differential Equations | |
| Mathematical Applications in the Physical Sciences | |
| Mathematical Modeling and Industrial Mathematics | |
| Calculus of Variations and Optimal Control; Optimization | |
| Persona (resp. second.): | BowenMark |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | Rate equations -- Transport equations -- Variational principles -- Dimensional scaling analysis -- Self-similar scaling solutions of differential equations -- Perturbation methods -- Boundary layer theory -- Long-wave asymptotics for PDE problems -- Weakly-nonlinear oscillators -- Fast/slow dynamical systems -- Reduced models for PDE problems -- Modelling in applied fluid dynamics. |
| Sommario/riassunto: | This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics. Chapters 1 to 4 cover essential topics in ordinary differential equations, transport equations and the calculus of variations that are important for formulating models. Chapters 5 to 11 then develop more advanced techniques including similarity solutions, matched asymptotic expansions, multiple scale analysis, long-wave models, and fast/slow dynamical systems. Methods of Mathematical Modelling will be useful for advanced undergraduate or beginning graduate students in applied mathematics, engineering and other applied sciences. |
| Titolo autorizzato: | Methods of Mathematical Modelling |
| ISBN: | 3-319-23042-5 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910300259103321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Springer Undergraduate Mathematics Series, . 1615-2085