{"product_id":"finite-difference-methods-for-ordinary-and-parti-steady-state-and-time-dependent-problems-steady-state-and-time-dependent-problems-paperback-softback-9780898716290","title":"Finite Difference Methods for Ordinary and Parti – Steady–State and Time–Dependent Problems; Steady-State and Time-dependent Problems (Paperback \/ softback) 9780898716290","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eFinite Difference Methods for Ordinary and Parti – Steady–State and Time–Dependent Problems\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eSteady-State and Time-dependent Problems\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eIntroductory textbook from which students can approach more advance topics relating to finite difference methods.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eRandall J. Leveque (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780898716290\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 30 July 2007\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e354 pages, 120 exercises\u003cbr\u003e25.1 x 17.7 x 1.7 cm, 0.625 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples. Exercises and student projects are available on the book's webpage, along with Matlab mfiles for implementing methods. Readers will gain an understanding of the essential ideas that underlie the development, analysis, and practical use of finite difference methods as well as the key concepts of stability theory, their relation to one another, and their practical implications. The author provides a foundation from which students can approach more advanced topics.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Part I. Boundary Value Problems and Iterative Methods: 1. Finite difference approximations\u003cbr\u003e 2. Steady states and boundary value problems\u003cbr\u003e 3. Elliptic equations\u003cbr\u003e 4. Iterative methods for sparse linear systems\u003cbr\u003e Part II. Initial Value Problems\u003cbr\u003e 5. The initial value problem for ordinary differential equations\u003cbr\u003e 6. Zero-stability and convergence for initial value problems\u003cbr\u003e 7. Absolute stability for ordinary differential equations\u003cbr\u003e 8. Stiff ordinary differential equations\u003cbr\u003e 9. Diffusion equations and parabolic problems\u003cbr\u003e 10. Advection equations and hyperbolic systems\u003cbr\u003e 11. Mixed equations\u003cbr\u003e A. Measuring errors\u003cbr\u003e B. Polynomial interpolation and orthogonal polynomials\u003cbr\u003e C. Eigenvalues and inner-product norms\u003cbr\u003e D. Matrix powers and exponentials\u003cbr\u003e E. Partial differential equations\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Miscellaneous items [\u003ca title=\"See our other books on Miscellaneous items\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Miscellaneous%20items%20%5BWZ%5D%22\"\u003eWZ\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"MP–SIA SIAM – Society for Industrial and Applied M","offers":[{"title":"Brand New","offer_id":52405467611416,"sku":"9780898716290","price":57.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780898716290i.jpg?v=1784135025","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/finite-difference-methods-for-ordinary-and-parti-steady-state-and-time-dependent-problems-steady-state-and-time-dependent-problems-paperback-softback-9780898716290","provider":"Freshly Printed Books","version":"1.0","type":"link"}