{"product_id":"introduction-to-numerical-methods-for-heinz-otto-kreiss-9781118838952","title":"Introduction to Numerical Methods for Time Dependent Differential Equations","description":"\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\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Heinz-Otto Kreiss,Omar Eduardo Ortiz\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1118838955\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781118838952\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Wiley\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 04\/07\/2014\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 192\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.00lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.30h x 6.10w x 0.70d","brand":"Heinz-Otto Kreiss","offers":[{"title":"Hardcover","offer_id":48438144401663,"sku":"9781118838952","price":93.5,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_92f42eef-5e8e-46fc-8cfe-fe68dcbeb2c4.jpg?v=1777169114","url":"https:\/\/www.whiterainbookhouse.com\/products\/introduction-to-numerical-methods-for-heinz-otto-kreiss-9781118838952","provider":"WR Book House","version":"1.0","type":"link"}