{"product_id":"numerical-methods-for-stochastic-computations-a-spectral-method-approach-hardcover","title":"Numerical Methods for Stochastic Computations: A Spectral Method Approach - Hardcover","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eDongbin Xiu\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe@ first graduate-level textbook to focus on fundamental aspects of numerical methods for stochastic computations, this book describes the class of numerical methods based on generalized polynomial chaos (gPC). These fast, efficient, and accurate methods are an extension of the classical spectral methods of high-dimensional random spaces. Designed to simulate complex systems subject to random inputs, these methods are widely used in many areas of computer science and engineering. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e The book introduces polynomial approximation theory and probability theory; describes the basic theory of gPC methods through numerical examples and rigorous development; details the procedure for converting stochastic equations into deterministic ones; using both the Galerkin and collocation approaches; and discusses the distinct differences and challenges arising from high-dimensional problems. The last section is devoted to the application of gPC methods to critical areas such as inverse problems and data assimilation. \u003cp\u003e\u003c\/p\u003e Ideal for use by graduate students and researchers both in the classroom and for self-study, \u003ci\u003eNumerical Methods for Stochastic Computations\u003c\/i\u003e provides the required tools for in-depth research related to stochastic computations. \u003cp\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cbr\u003e \u003cli\u003eThe first graduate-level textbook to focus on the fundamentals of numerical methods for stochastic computations \u003c\/li\u003e\n\u003cbr\u003e \u003cli\u003eIdeal introduction for graduate courses or self-study \u003c\/li\u003e\n\u003cbr\u003e \u003cli\u003eFast, efficient, and accurate numerical methods \u003c\/li\u003e\n\u003cbr\u003e \u003cli\u003ePolynomial approximation theory and probability theory included \u003c\/li\u003e\n\u003cbr\u003e \u003cli\u003eBasic gPC methods illustrated through examples\u003c\/li\u003e\n\u003cbr\u003e\n\u003c\/ul\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\"Short and comprehensive, this book is appropriate for novices of polynomial chaos. Many diverse fields are adopting this method, and this book can be used for first-year graduate studies as well as senior undergraduate courses. The book includes important new developments, such as non-Gaussian processes and stochastic collocation methods.\"\u003cb\u003e--George Karniadakis, Brown University\u003c\/b\u003e\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003cb\u003eDongbin Xiu\u003c\/b\u003e is associate professor of mathematics at Purdue University.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 144\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.6 x 9.3 x 6.1 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e July 21, 2010\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":47500000690425,"sku":"9780691142128","price":128.25,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0789\/2782\/3097\/files\/pUEAR28ldmOGdH2_qniUSQ.webp?v=1774248790","url":"https:\/\/bookscloud.io\/products\/numerical-methods-for-stochastic-computations-a-spectral-method-approach-hardcover","provider":"BooksCloud Book Dropshipping","version":"1.0","type":"link"}