{"product_id":"numerical-analysis-of-partial-differential-equations-9780470647288","title":"Numerical Analysis of Partial Differential Equations","description":"\u003cp\u003e • Author(s): S. H. Lui\u003cbr\u003e • Publisher: Wiley\u003cbr\u003e • Publisher Imprint: Wiley\u003cbr\u003e • BISAC: Mathematical Analysis\u003c\/p\u003e\u003cp\u003e\u003cb\u003eA balanced guide to the essential techniques for solving elliptic partial differential equations \u003c\/b\u003e  \u003c\/p\u003e\u003cp\u003e \u003ci\u003eNumerical Analysis of Partial Differential Equations\u003c\/i\u003e provides a comprehensive, self-contained treatment of the quantitative methods used to solve elliptic partial differential equations (PDEs), with a focus on the efficiency as well as the error of the presented methods. The author utilizes coverage of theoretical PDEs, along with the nu merical solution of linear systems and various examples and exercises, to supply readers with an introduction to the essential concepts in the numerical analysis of PDEs.\u003c\/p\u003e  \u003cp\u003e The book presents the three main discretization methods of elliptic PDEs: finite difference, finite elements, and spectral methods. Each topic has its own devoted chapters and is discussed alongside additional key topics, including:\u003c\/p\u003e  *  \u003cp\u003e The mathematical theory of elliptic PDEs\u003c\/p\u003e  *  \u003cp\u003e Numerical linear algebra\u003c\/p\u003e  *  \u003cp\u003e Time-dependent PDEs\u003c\/p\u003e  *  \u003cp\u003e Multigrid and domain decomposition\u003c\/p\u003e  *  \u003cp\u003e PDEs posed on infinite domains\u003c\/p\u003e    \u003cp\u003e The book concludes with a discussion of the methods for nonlinear problems, such as Newton's method, and addresses the importance of hands-on work to facilitate learning. Each chapter concludes with a set of exercises, including theoretical and programming problems, that allows readers to test their understanding of the presented theories and techniques. In addition, the book discusses important nonlinear problems in many fields of science and engineering, providing information as to how they can serve as computing projects across various disciplines.\u003c\/p\u003e  \u003cp\u003e Requiring only a preliminary understanding of analysis, \u003ci\u003eNumerical Analysis of Partial Differential Equations\u003c\/i\u003e is suitable for courses on numerical PDEs at the upper-undergraduate and graduate levels. The book is also appropriate for students majoring in the mathematical sciences and engineering.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Hardcover","offer_id":45201845387415,"sku":"9780470647288","price":12312.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780470647288.webp?v=1767668060","url":"https:\/\/atlanticbooks.com\/products\/numerical-analysis-of-partial-differential-equations-9780470647288","provider":"Atlantic Books","version":"1.0","type":"link"}