{"product_id":"spectral-and-spectral-element-methods-for-fractional-ordinary-and-partial-differential-equations-hardback-9781108490993","title":"Spectral and Spectral Element Methods for Fractional Ordinary and Partial Differential Equations (Hardback) 9781108490993","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eSpectral and Spectral Element Methods for Fractional Ordinary and Partial Differential Equations\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eLeaders of the field break down global spectral methods for fractional differential equations, a new frontier of mathematical modeling.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eMohsen Zayernouri (Author), Li-Lian Wang (Author), Jie Shen (Author), George Em Karniadakis (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781108490993, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 14 November 2024\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e742 pages\u003cbr\u003e23.6 x 16.1 x 4.3 cm, 1.16 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'It should be a valuable reference for researchers and advanced graduate students in numerical analysis, scientific computing, and fractional differential equations.' Chang-Tao Sheng, MathSciNet\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis comprehensive introduction to global spectral methods for fractional differential equations from leaders of this emerging field is designed to be accessible to graduate students and researchers across math, science, and engineering. The book begins by covering the foundational fractional calculus concepts needed to understand and model anomalous transport phenomena. The authors proceed to introduce a series of new spectral theories and new families of orthogonal and log orthogonal functions, then present corresponding spectral and spectral element methods for fractional differential equations. The book also covers the fractional Laplacian in unbounded and bounded domains and major developments in time-integration of fractional models. It ends by sampling the wide variety of real-world applications of fractional modeling, including concentration transport in surface\/subsurface dynamics, complex rheology and material damage, and fluid turbulence and geostrophic transport.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Fractional calculus and anomalous transport\u003cbr\u003e 2. Spectral expansions and related approximations\u003cbr\u003e 3. Global schemes for fractional ODEs (FODEs)\u003cbr\u003e 4. Global schemes for fractional PDEs (FPDEs)\u003cbr\u003e 5. Integral fractional Laplacian in unbounded domains\u003cbr\u003e 6. Fractional Laplacian in bounded domains\u003cbr\u003e 7. Time-integration of fractional models\u003cbr\u003e 8. Applications of anomalous transport and fractional modeling\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Numerical analysis [\u003ca title=\"See our other books on Numerical analysis\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Numerical%20analysis%20%5BPBKS%5D%22\"\u003ePBKS\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Brand New","offer_id":52507343552792,"sku":"9781108490993","price":101.79,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781108490993i.jpg?v=1786444688","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/spectral-and-spectral-element-methods-for-fractional-ordinary-and-partial-differential-equations-hardback-9781108490993","provider":"Freshly Printed Books","version":"1.0","type":"link"}