04500nam 22007935 450 991030025910332120251116144813.03-319-23042-510.1007/978-3-319-23042-9(CKB)3710000000521704(SSID)ssj0001585318(PQKBManifestationID)16264030(PQKBTitleCode)TC0001585318(PQKBWorkID)14865450(PQKB)10100148(DE-He213)978-3-319-23042-9(MiAaPQ)EBC6314647(MiAaPQ)EBC5592615(Au-PeEL)EBL5592615(OCoLC)922033492(PPN)190532262(EXLCZ)99371000000052170420150918d2015 u| 0engurnn|008mamaatxtccrMethods of Mathematical Modelling Continuous Systems and Differential Equations /by Thomas Witelski, Mark Bowen1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (XVIII, 305 p. 50 illus., 45 illus. in color.) Springer Undergraduate Mathematics Series,1615-2085Bibliographic Level Mode of Issuance: Monograph3-319-23041-7 Includes bibliographical references and index.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.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.Springer Undergraduate Mathematics Series,1615-2085Differential equationsDifferential equations, PartialMathematical physicsMathematical modelsCalculus of variationsOrdinary Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12147Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Mathematical Applications in the Physical Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13120Mathematical Modeling and Industrial Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M14068Calculus of Variations and Optimal Control; Optimizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M26016Differential 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.511.8Witelski Thomasauthttp://id.loc.gov/vocabulary/relators/aut755655Bowen Markauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910300259103321Methods of Mathematical Modelling2536895UNINA00994cam2 22002771 450 SOBE0008546720260127103706.020260127d1963 |||||ita|0103 baitaIT4Giorgio VasariMilanoEdizioni per il Club del libro[1963]498 p.ill.22 cmCollana di storia15001SOBE000641752001 *Collana di storia15001SOBE000854632001 <<Le >>vite de' più eccellenti pittori, scultori e architettori / Giorgio VasariVasari, Giorgio <1511-1574>AF0000963707037469ITUNISOB20260127RICAUNISOBUNISOBFondo|Calì184731SOBE00085467M 102 Monografia moderna SBNWFondo|Calì002232-4SI18473120250703CaliDonoNrovitoUNISOBUNISOB20260127102248.020260127102321.0rovito4975287UNISOB