{"product_id":"methods-of-mathematical-modelling-continuous-systems-and-differential-equations-paperback","title":"Methods of Mathematical Modelling: Continuous Systems and Differential Equations - Paperback","description":"\u003cp\u003eby \u003cb\u003eThomas Witelski\u003c\/b\u003e (Author), \u003cb\u003eMark Bowen\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eRate 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.\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis 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.\u003c\/p\u003e\u003cp\u003eChapters 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.\u003c\/p\u003e\u003cp\u003e\u003ci\u003eMethods of Mathematical Modelling\u003c\/i\u003e will be useful for advanced undergraduate or beginning graduate students in applied mathematics, engineering and other applied sciences.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThomas Witelski is a Professor of Mathematics at Duke University specializing in nonlinear partial differential equations and fluid dynamics. He is a long-time participant in many study groups on mathematical modelling and industrial problems. He is the co-Editor-in-Chief of the Journal of Engineering Mathematics and also serves on the editorial board for the European Journal of Applied Mathematics. Witelski received his Ph.D. in Applied Mathematics from the California Institute of Technology in 1995 and was a postdoctoral fellow at the Massachusetts Institute of Technology.\u003c\/p\u003e\u003cp\u003eMark Bowen is an Associate Professor in the International Center for Science and Engineering Programs at Waseda University, where he teaches courses in differential equations and nonlinear dynamics. His expertise is in asymptotic analysis, nonlinear differential equations and fluid dynamics. He received his Ph.D. in Applied Mathematics in 1998 from the University of Nottingham.\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 305\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.68 x 9.21 x 6.14 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e September 28, 2015\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":42105794297991,"sku":"9783319230412","price":72.88,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0601\/2623\/2711\/files\/65b391dad00ce1069963bc77650516e1.webp?v=1732437800","url":"https:\/\/booksby.splitshops.com\/products\/methods-of-mathematical-modelling-continuous-systems-and-differential-equations-paperback","provider":"Books by splitShops","version":"1.0","type":"link"}