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Methods of Mathematical Modelling / Thomas Witelski (2015)  

Public Titre : Methods of Mathematical Modelling : Continuous Systems and Differential Equations Type de document : Guide/Manuel Auteurs : Thomas Witelski, Auteur ; Mark Bowen, Auteur Editeur : Springer International Publishing Année de publication : 2015 Importance : 324 p. Format : 16 x 24 cm ISBN/ISSN/EAN : 978-3-319-23042-9 Note générale : bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Mathématique [Termes IGN] analyse mathématique [Termes IGN] calcul différentiel [Termes IGN] calcul variationnel [Termes IGN] équation différentielle [Termes IGN] équation linéaire [Termes IGN] modèle mathématique [Termes IGN] série de Fourier [Termes IGN] variable Résumé : (éditeur) 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. Note de contenu : Part I- Formulation of Models 1- Rate equations 2- Transport equations 3- Variational principles 4- Dimensional scaling analysis Part II- Solution Techniques 5- Self-similar scaling solutions of differential equations 6- Perturbation methods 7- Boundary layer theory 8- Long-wave asymptotics for PDE problems 9- Weakly-nonlinear oscillators 10- Fast/slow dynamical systems 11- Reduced models for PDE problems Part III- Case Studies 12- Modelling in applied fluid dynamics Epilogue Numéro de notice : 25830 Affiliation des auteurs : non IGN Thématique : MATHEMATIQUE Nature : Manuel En ligne : https://doi.org/10.1007/978-3-319-23042-9 Format de la ressource électronique : URL Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=95152