{"product_id":"a-generalized-discontinuous-galerkin-method-kai-fan-9783639108040","title":"A Generalized Discontinuous Galerkin Method \u0026 Its Applications","description":"In this book, a new Generalized Discontinuous Galerkin (GDG) method for Schrodinger equations with nonsmooth solutions is proposed. The numerical method is based on a reformulation of Schrodinger equations, using split distributional variables and their related integration by parts formulae to account for solution jumps across material interfaces. GDG can handle time dependent and general nonlinear jump conditions. And numerical results validate the high order accuracy and the flexibility of the method for various types of interface conditions. As one of GDG's application, a new vectorial generalized discontinuous Galerkin beam propagation method (GDG-BPM) for wave propagations in inhomogeneous optical waveguides is also included. The resulting GDG-BPM takes on four formulations for either electric or magnetic field. GDG-BPM's unique feature of handling interface jump conditions and its flexibility in modeling wave propagations in inhomogeneous optical fibers is shown by various numerical results.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Kai Fan\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3639108043\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783639108040\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e VDM Verlag\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 12\/01\/2008\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 80\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.26lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 0.17d","brand":"Kai Fan","offers":[{"title":"Paperback","offer_id":46024791195903,"sku":"9783639108040","price":52.92,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_0337b5d8-d232-448e-bb98-a9a045430d11.jpg?v=1723129214","url":"https:\/\/www.whiterainbookhouse.com\/products\/a-generalized-discontinuous-galerkin-method-kai-fan-9783639108040","provider":"WR Book House","version":"1.0","type":"link"}