{"product_id":"9783032388551","title":"Numerical Approximation of Partial Differential Equations","description":"\u003ch3\u003eTexts in Applied Mathematics\u003c\/h3\u003e\u003ch1\u003eNumerical Approximation of Partial Differential Equations\u003c\/h1\u003e\u003ch3\u003eSören Bartels\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Numerical Analysis\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\u003cp\u003eThis book aims at providing a thorough introduction to the construction, analysis, and implementation of finite element methods for model problems arising in continuum mechanics. Finite element methods for approximating partial differential equations have reached a high degree of maturity and are an indispensable tool in science and technology. The first part of the book discusses elementary properties of linear partial differential equations along with their basic numerical approximation, the functional-analytical framework for rigorously establishing existence of solutions, and the construction and analysis of basic finite element methods. The second part is devoted to the optimal adaptive approximation of singularities and the fast iterative solution of linear systems of equations arising from finite element discretizations. In the third part, the mathematical framework for analyzing and discretizing saddle-point problems is formulated, corresponding finite element methods are analyzed, and particular applications including incompressible elasticity, thin elastic objects, electromagnetism, and fluid mechanics are addressed. The book includes theoretical problems and practical projects for all chapters and an introduction to the implementation of finite element methods.\u003c\/p\u003e\u003c\/div\u003e\u003cdiv\u003e\u003cp style=\"line-height: 115%;\"\u003e\u003cstrong style=\"mso-bidi-font-weight: normal;\"\u003e\u003cspan lang=\"EN-US\" style=\"font-size: 11.0pt; line-height: 115%; font-family: 'Calibri',sans-serif; mso-ascii-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-bidi-theme-font: minor-latin;\"\u003eSören Bartels\u003c\/span\u003e\u003c\/strong\u003e\u003cspan lang=\"EN-US\" style=\"font-size: 11.0pt; line-height: 115%; font-family: 'Calibri',sans-serif; mso-ascii-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-bidi-theme-font: minor-latin;\"\u003e is Professor of Applied Mathematics at the University of Freiburg, Germany. His primary research interest is in the development and analysis of approximation schemes for nonlinear partial differential equations with applications in the simulation of modern materials. Professor Bartels has published the Springer textbook “Numerik 3x9” and the monograph “Numerical methods for nonlinear partial differential equations” in the Springer Series in Computational Mathematics.\u003c\/span\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e08 February 2027\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eSpringer Nature Switzerland\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eSpringer\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9783032388551\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\u003c\/table\u003e","brand":"Springer Nature Switzerland","offers":[{"title":"Default Title","offer_id":51945501556876,"sku":"9783032388551","price":76.49,"currency_code":"USD","in_stock":true}],"url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783032388551","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}