{"product_id":"property-preserving-numerical-schemes-for-conservation-dmitri-kuzmin-9789811278181","title":"Property-Preserving Numerical Schemes for Conservation Laws","description":"High-order numerical methods for hyperbolic conservation laws do not guarantee the validity of constraints that physically meaningful approximations are supposed to satisfy. The finite volume and finite element schemes summarized in this book use limiting techniques to enforce discrete maximum principles and entropy inequalities. Spurious oscillations are prevented using artificial viscosity operators and\/or essentially nonoscillatory reconstructions.An introduction to classical nonlinear stabilization approaches is given in the simple context of one-dimensional finite volume discretizations. Subsequent chapters of Part I are focused on recent extensions to continuous and discontinuous Galerkin methods. Many of the algorithms presented in these chapters were developed by the authors and their collaborators. Part II gives a deeper insight into the mathematical theory of property-preserving numerical schemes. It begins with a review of the convergence theory for finite volume methods and ends with analysis of algebraic flux correction schemes for finite elements. In addition to providing ready-to-use algorithms, this text explains the design principles behind such algorithms and shows how to put theory into practice. Although the book is based on lecture notes written for an advanced graduate-level course, it is also aimed at senior researchers who develop and analyze numerical methods for hyperbolic problems.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Dmitri Kuzmin, Hennes Hajduk\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 9811278180\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9789811278181\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e World Scientific Publishing Company\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 09\/13\/2023\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 492\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.81lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 1.06d","brand":"Dmitri Kuzmin","offers":[{"title":"Hardcover","offer_id":44254692114687,"sku":"9789811278181","price":168.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_d6a847a7-86d8-499e-a408-11c390be9053.jpg?v=1694613835","url":"https:\/\/www.whiterainbookhouse.com\/products\/property-preserving-numerical-schemes-for-conservation-dmitri-kuzmin-9789811278181","provider":"WR Book House","version":"1.0","type":"link"}