{"product_id":"9781118838914","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","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47107335225584,"sku":"9781118838914","price":103.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9781118838914_p0.jpg?v=1763695463","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9781118838914","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}