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Elargir la recherche       Sur le même sujet :     Mathematics.     Differential equations.     Partial differential equations.     Mathematical physics.     Mathematical models     Calculus of variations     Parcourir le catalogue     par auteur:      Witelski , Thomas      Bowen , Mark Stander       Rechercher sur Internet     Localiser dans une autre bibliothèque (SUDOC) (PPN ou ISBN ou ISSN)     Aperçu dans Google Books     Affichage MARC

Auteur :  Witelski , Thomas Titre :  Methods of Mathematical Modelling : Continuous Systems and Differential Equations , by Thomas Witelski, Mark Bowen. Edition :  1st ed. 2015. Editeur :  Cham : Springer International Publishing , 2015 Collection :  Springer Undergraduate Mathematics Series , 2197-4144 ISBN:  978-3-319-23042-9 Notes :  L'accès complet à la ressource est réservé aux usagers des établissements qui en ont fait l'acquisition 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 Nécessite un lecteur de fichier PDF Contient :  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 Sujet :  Mathematics. Differential equations. Partial differential equations. Mathematical physics. Mathematical models Calculus of variations   Exemplaires Pas de données exemplaires

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