{"product_id":"9781118838952","title":"Introduction to Numerical Methods for Time Dependent Differential Equations","description":"\u003ch1\u003eIntroduction to Numerical Methods for Time Dependent Differential Equations\u003c\/h1\u003e\u003ch3\u003eHeinz-Otto Kreiss | Omar Eduardo Ortiz\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Mathematical Analysis\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cp\u003e\u003cb\u003eIntroduces both the fundamentals of time dependent differential equations and their numerical solutions\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003ci\u003eIntroduction to Numerical Methods for Time Dependent Differential Equations \u003c\/i\u003edelves into the underlying mathematical theory needed to solve time dependent differential equations numerically. Written as a self-contained introduction, the book is divided into two parts to emphasize both ordinary differential equations (ODEs) and partial differential equations (PDEs).\u003c\/p\u003e \u003cp\u003eBeginning with ODEs and their approximations, the authors provide a crucial presentation of fundamental notions, such as the theory of scalar equations, finite difference approximations, and the Explicit Euler method. Next, a discussion on higher order approximations, implicit methods, multistep methods, Fourier interpolation, PDEs in one space dimension as well as their related systems is provided.\u003c\/p\u003e \u003cp\u003e\u003ci\u003eIntroduction to Numerical Methods for Time Dependent Differential Equations \u003c\/i\u003efeatures:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eA step-by-step discussion of the procedures needed to prove the stability of difference approximations\u003c\/li\u003e \u003cli\u003eMultiple exercises throughout with select answers, providing readers with a practical guide to understanding the approximations of differential equations\u003c\/li\u003e \u003cli\u003eA simplified approach in a one space dimension\u003c\/li\u003e \u003cli\u003eAnalytical theory for difference approximations that is particularly useful to clarify procedures\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003ci\u003eIntroduction to Numerical Methods for Time Dependent Differential Equations \u003c\/i\u003eis an excellent textbook for upper-undergraduate courses in applied mathematics, engineering, and physics as well as a useful reference for physical scientists, engineers, numerical analysts, and mathematical modelers who use numerical experiments to test designs or predict and investigate phenomena from many disciplines.\u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e  \u003cp\u003e\u003cb\u003eHEINZ-OTTO KREISS, P\u003csmall\u003eH\u003c\/small\u003eD,\u003c\/b\u003e is Professor Emeritus in the Department of Mathematics at the University of California, Los Angeles and is a renowned mathematician in the field of applied mathematics.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eOMAR EDUARDO ORTIZ, P\u003csmall\u003eH\u003c\/small\u003eD,\u003c\/b\u003e is Professor in the Department of Mathematics, Astronomy, and Physics at the National University of Córdoba, Argentina. Dr. Ortiz’s research interests include analytical and numerical methods for PDEs applied in physics.\u003c\/p\u003e\n\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e07 April 2014\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\u003e9781118838952\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\u003e192\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eWeight (oz): \u003c\/td\u003e\n\u003ctd\u003e15.36\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":44314661290124,"sku":"9781118838952","price":114.26,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781118838952_b7281269-f8e4-4ddb-96e2-922f6f45ee78.jpg?v=1780194498","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9781118838952","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}