{"product_id":"9781119301035","title":"Spline Collocation Methods for Partial Differential Equations With Applications in R","description":"\u003ch1\u003eSpline Collocation Methods for Partial Differential Equations\u003c\/h1\u003e\u003ch2\u003eWith Applications in R\u003c\/h2\u003e\u003ch3\u003eWilliam E. Schiesser\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Differential Equations \/ General\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cp\u003e\u003cb\u003eA comprehensive approach to numerical partial differential equations \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003ci\u003eSpline Collocation Methods for Partial Differential Equations \u003c\/i\u003ecombines the collocation analysis of partial differential equations (PDEs) with the method of lines (MOL) in order to simplify the solution process. Using a series of example applications, the author delineates the main features of the approach in detail, including an established mathematical framework. The book also clearly demonstrates that spline collocation can offer a comprehensive method for numerical integration of PDEs when it is used with the MOL in which spatial (boundary value) derivatives are approximated with splines, including the boundary conditions.\u003c\/p\u003e \u003cp\u003eR, an open-source scientific programming system, is used throughout for programming the PDEs and numerical algorithms, and each section of code is clearly explained. As a result, readers gain a complete picture of the model and its computer implementation without having to fill in the details of the numerical analysis, algorithms, or programming. The presentation is not heavily mathematical, and in place of theorems and proofs, detailed example applications are provided.\u003c\/p\u003e \u003cp\u003eAppropriate for scientists, engineers, and applied mathematicians, \u003ci\u003eSpline Collocation Methods for Partial Differential Equations\u003c\/i\u003e:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eIntroduces numerical methods by first presenting basic examples followed by more complicated applications\u003c\/li\u003e \u003cli\u003eEmploys R to illustrate accurate and efficient solutions of the PDE models\u003c\/li\u003e \u003cli\u003ePresents spline collocation as a comprehensive approach to the numerical integration of PDEs and an effective alternative to other, well established methods\u003c\/li\u003e \u003cli\u003eDiscusses how to reproduce and extend the presented numerical solutions\u003c\/li\u003e \u003cli\u003eIdentifies the use of selected algorithms, such as the solution of nonlinear equations and banded or sparse matrix processing\u003c\/li\u003e \u003cli\u003eFeatures a companion website that provides the related R routines\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003ci\u003eSpline Collocation Methods for Partial Differential Equations \u003c\/i\u003eis a valuable reference and\/or self-study guide for academics, researchers, and practitioners in applied mathematics and engineering, as well as for advanced undergraduates and graduate-level students.\u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e   \u003cp\u003e\u003cb\u003e WILLIAM E. SCHIESSER, PhD, ScD (hon.),\u003c\/b\u003e is Emeritus McCann Professor of Biomolecular and Chemical Engineering and Professor of Mathematics at Lehigh University. He is the author, coauthor or coeditor of 17 books, including \u003ci\u003eMethod of Lines PDE Analysis in Biomedical Science and Engineering; Differential Equation Analysis in Biomedical Science and Engineering: Ordinary Differential Equation Applications with R and Differential Equation Analysis in Biomedical Science and Engineering: Partial Differential Equation Applications with R,\u003c\/i\u003e published by Wiley.   \u003c\/p\u003e\n\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e22 May 2017\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\u003e9781119301035\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\u003e576\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eWeight (oz): \u003c\/td\u003e\n\u003ctd\u003e32.8\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":44384784580748,"sku":"9781119301035","price":129.56,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781119301035_840775cf-0671-408b-9331-04a8d8445fd7.jpg?v=1780193399","url":"https:\/\/lateknightbooks.com\/products\/9781119301035","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}