{"product_id":"9781119018445","title":"Introduction to Computation and Modeling for Differential Equations","description":"\u003ch1\u003eIntroduction to Computation and Modeling for Differential Equations\u003c\/h1\u003e\u003ch3\u003eLennart Edsberg\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Differential Equations \/ General\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cp\u003e\u003cb\u003eUses mathematical, numerical, and programming tools to solve differential equations for physical phenomena and engineering problems\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003ci\u003eIntroduction to Computation and Modeling for Differential Equations, Second Edition \u003c\/i\u003efeatures the essential principles and applications of problem solving across disciplines such as engineering, physics, and chemistry. The \u003ci\u003eSecond Edition \u003c\/i\u003eintegrates the science of solving differential equations with mathematical, numerical, and programming tools, specifically with methods involving ordinary differential equations; numerical methods for initial value problems (IVPs); numerical methods for boundary value problems (BVPs); partial differential equations (PDEs); numerical methods for parabolic, elliptic, and hyperbolic PDEs; mathematical modeling with differential equations; numerical solutions; and finite difference and finite element methods.\u003c\/p\u003e \u003cp\u003eThe author features a unique “Five-M” approach: Modeling, Mathematics, Methods, MATLAB®, and Multiphysics, which facilitates a thorough understanding of how models are created and preprocessed mathematically with scaling, classification, and approximation and also demonstrates how a problem is solved numerically using the appropriate mathematical methods. With numerous real-world examples to aid in the visualization of the solutions, \u003ci\u003eIntroduction to Computation and Modeling for Differential Equations, Second Edition \u003c\/i\u003eincludes:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eNew sections on topics including variational formulation, the finite element method, examples of discretization, ansatz methods such as Galerkin’s method for BVPs, parabolic and elliptic PDEs, and finite volume methods\u003c\/li\u003e \u003cli\u003eNumerous practical examples with applications in mechanics, fluid dynamics, solid mechanics, chemical engineering, heat conduction, electromagnetic field theory, and control theory, some of which are solved with computer programs MATLAB and COMSOL Multiphysics®\u003c\/li\u003e \u003cli\u003eAdditional exercises that introduce new methods, projects, and problems to further illustrate possible applications\u003c\/li\u003e \u003cli\u003eA related website with select solutions to the exercises, as well as the MATLAB data sets for ordinary differential equations (ODEs) and PDEs\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003ci\u003eIntroduction to Computation and Modeling for Differential Equations, Second Edition \u003c\/i\u003eis a useful textbook for upper-undergraduate and graduate-level courses in scientific computing, differential equations, ordinary differential equations, partial differential equations, and numerical methods. The book is also an excellent self-study guide for mathematics, science, computer science, physics, and engineering students, as well as an excellent reference for practitioners and consultants who use differential equations and numerical methods in everyday situations.\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e  \u003cp\u003e\u003cb\u003eLENNART EDSBERG, PhD,\u003c\/b\u003e is Associate Professor in the Numerical Analysis section within the Department of Mathematics at KTH-The Royal Institute of Technology in Stockholm, Sweden, where he has also been Director of the International Master Program in Scientific Computing since 1998-2008. Dr. Edsberg has over 30 years of academic experience and is the author of over 20 journal articles in the areas of numerical methods and differential equations. \u003c\/p\u003e\n\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e05 October 2015\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eWiley\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eWiley\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9781119018445\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003eHardback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePage Count: \u003c\/td\u003e\n\u003ctd\u003e288\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eWeight (oz): \u003c\/td\u003e\n\u003ctd\u003e21.92\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":44314513997964,"sku":"9781119018445","price":106.16,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781119018445_c8fa048a-cd68-42f6-b5da-62c6b1cc8346.jpg?v=1780160991","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9781119018445","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}