{"title":"Sören Bartels","description":null,"products":[{"product_id":"numerical-approximation-of-partial-differential-equations-book-sren-bartels-9783319812656","title":"Numerical Approximation of Partial Differential Equations","description":"Finite element methods for approximating partial differential equations have reached a high degree of maturity, and are an indispensible tool in science and technology. This textbook aims at providing a thorough introduction to the construction, analysis, and implementation of finite element methods for model problems arising in continuum mechanics. 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 finte 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.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51060888469777,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51060891451665,"sku":"NIN9783319812656","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3319812653.jpg?v=1792002287"},{"product_id":"numerical-mathematics-3x9-book-sren-bartels-9783662708897","title":"Numerical Mathematics 3x9","description":"\u003cp\u003eThis book provides an introduction to methods for practically solving mathematical problems, such as solving systems of linear equations, determining eigenvalues, approximating and integrating functions, solving nonlinear equations, and the approximate solution of ordinary differential equations.\u003c\/p\u003e\n\u003cp\u003eIt consists of three parts:\u003c\/p\u003e\n\u003cp\u003e• Systems of linear equations, eigenvalue problems and optimisation\u003c\/p\u003e\n\u003cp\u003e• Interpolation, quadrature and nonlinear equations\u003c\/p\u003e\n\u003cp\u003e• Initial value problems and Hamiltonian systems\u003c\/p\u003e\n\u003cp\u003eEach of these parts is divided into nine short chapters and corresponds approximately to the scope of a two-hour lecture over one semester. Basic knowledge of linear algebra and analysis as well as elementary programming experience are assumed. Results of analysis are only used in the second and third part of the book. Learning objectives, self-assessment tests and exemplary applications at the end of each chapter are intended to deepen the understanding of the presented material. The last chapters of the book contain extensive collections of exercises, detailed descriptions for programming projects, introductions to the programming languages MATLAB, C++ and Python, compilations of the most important results from linear algebra and analysis, some example programs, a list of further topics as well as detailed literature references. The book is aimed at undergraduate students of mathematics as well as engineering and natural sciences.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003eThe translation of this book was done with the help of artificial intelligence. A subsequent human revision was done primarily in terms of content.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":67600805396753,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":67600805560593,"sku":"NGR9783662708897","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783662708897.jpg?v=1790741845"}],"url":"https:\/\/www.worldofbooks.com\/en-gb\/collections\/author-books-by-sren-bartels.oembed","provider":"World of Books ","version":"1.0","type":"link"}