{"product_id":"discrete-variational-derivative-method-daisuke-furihata-9781420094459","title":"Discrete Variational Derivative Method: A Structure-Preserving Numerical Method for Partial Differential Equations","description":"\u003cp\u003eNonlinear Partial Differential Equations (PDEs) have become increasingly important in the description of physical phenomena. Unlike Ordinary Differential Equations, PDEs can be used to effectively model multidimensional systems. \u003c\/p\u003e\u003cp\u003eThe methods put forward in \u003cstrong\u003eDiscrete Variational Derivative Method\u003c\/strong\u003e concentrate on a new class of \"structure-preserving numerical equations\" which improves the qualitative behaviour of the PDE solutions and allows for stable computing. The authors have also taken care to present their methods in an accessible manner, which means that the book will be useful to engineers and physicists with a basic knowledge of numerical analysis. Topics discussed include: \u003c\/p\u003e\u003cul\u003e \u003cli\u003e\"Conservative\" equations such as the Korteweg-de Vries equation (shallow water waves) and the nonlinear Schrödinger equation (optical waves) \u003c\/li\u003e \u003cli\u003e\"Dissipative\" equations such as the Cahn-Hilliard equation (some phase separation phenomena) and the Newell-Whitehead equation (two-dimensional Bénard convection flow)\u003c\/li\u003e \u003cli\u003eDesign of spatially and temporally high-order schemas\u003c\/li\u003e \u003cli\u003eDesign of linearly-implicit schemas\u003c\/li\u003e \u003cli\u003eSolving systems of nonlinear equations using numerical Newton method libraries\u003c\/li\u003e \u003c\/ul\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Daisuke Furihata,Takayasu Matsuo\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1420094459\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781420094459\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e CRC Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 12\/10\/2010\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 376\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.30lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.20h x 6.20w x 1.00d\u003cbr\u003e\u003cbr\u003e\u003cb\u003eReview Citation(s): \u003c\/b\u003e\u003cbr\u003e\u003ci\u003eReference and Research Bk News\u003c\/i\u003e 04\/01\/2011 pg. 285","brand":"Daisuke Furihata","offers":[{"title":"Hardcover","offer_id":47419488862463,"sku":"9781420094459","price":170.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_ce8f5e42-5171-415a-8a6a-80cb40ffe88c.jpg?v=1761511844","url":"https:\/\/www.whiterainbookhouse.com\/products\/discrete-variational-derivative-method-daisuke-furihata-9781420094459","provider":"WR Book House","version":"1.0","type":"link"}