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[null,"1.","Record Nr.",null,"UNINA9910300259103321"]
[null,null,"Autore",null,"Witelski Thomas"]
[null,null,"Titolo",null,"Methods of Mathematical Modelling : Continuous Systems and Differential Equations / / by Thomas Witelski, Mark Bowen"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015"]
[null,null,"ISBN",null,"3-319-23042-5"]
[null,null,"Edizione",null,"[1st ed. 2015.]"]
[null,null,"Descrizione fisica",null,"1 online resource (XVIII, 305 p. 50 illus., 45 illus. in color.)"]
[null,null,"Collana",null,"Springer Undergraduate Mathematics Series, , 1615-2085"]
[null,null,"Disciplina",null,"511.8"]
[null,null,"Soggetti",null,"Differential equations"]
[{"$nulls":4},"Differential equations, Partial"]
[{"$nulls":4},"Mathematical physics"]
[{"$nulls":4},"Mathematical models"]
[{"$nulls":4},"Calculus of variations"]
[{"$nulls":4},"Ordinary Differential Equations"]
[{"$nulls":4},"Partial Differential Equations"]
[{"$nulls":4},"Mathematical Applications in the Physical Sciences"]
[{"$nulls":4},"Mathematical Modeling and Industrial Mathematics"]
[{"$nulls":4},"Calculus of Variations and Optimal Control; Optimization"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Rate equations -- Transport equations -- Variational principles -- Dimensional scaling analysis -- Self-similar scaling solutions of differential equations -- Perturbation methods -- Boundary layer theory -- Long-wave asymptotics for PDE problems -- Weakly-nonlinear oscillators -- Fast/slow dynamical systems -- Reduced models for PDE problems -- Modelling in applied fluid dynamics."]
[null,null,null,"Sommario/riassunto","This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics. Chapters 1 to 4 cover essential topics in ordinary differential equations, transport equations and the calculus of variations that are important for formulating models. Chapters 5 to 11 then develop more advanced techniques including similarity solutions, "]
[{"$nulls":4},"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."]