{"product_id":"finite-difference-schemes-and-partial-differential-equations-paperback-softback-9780898716399","title":"Finite Difference Schemes and Partial Differential Equations (Paperback \/ softback) 9780898716399","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eFinite Difference Schemes and Partial Differential Equations\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA unified and accessible introduction to the basic theory of finite difference schemes.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJohn C. Strikwerda (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780898716399\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 30 November 2007\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e448 pages\u003cbr\u003e22.9 x 15.2 x 2 cm, 0.769 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 provides a unified and accessible introduction to the basic theory of finite difference schemes applied to the numerical solution of partial differential equations. Originally published in 1989, its objective remains to clearly present the basic methods necessary to perform finite difference schemes and to understand the theory underlying these schemes. This is one of the few texts in the field to not only present the theory of stability in a rigorous and clear manner but also to discuss the theory of initial-boundary value problems in relation to finite difference schemes. In this updated edition the notion of a stability domain is now included in the definition of stability and is more prevalent throughout the book. The author has also added many new figures and tables to clarify important concepts and illustrate the properties of finite difference schemes.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface to the second edition\u003cbr\u003e Preface to the first edition\u003cbr\u003e 1. Hyperbolic partial differential equations\u003cbr\u003e 2. Analysis of finite difference Schemes\u003cbr\u003e 3. Order of accuracy of finite difference schemes\u003cbr\u003e 4. Stability for multistep schemes\u003cbr\u003e 5. Dissipation and dispersion\u003cbr\u003e 6. Parabolic partial differential equations\u003cbr\u003e 7. Systems of partial differential equations in higher dimensions\u003cbr\u003e 8. Second-order equations\u003cbr\u003e 9. Analysis of well-posed and stable problems\u003cbr\u003e 10. Convergence estimates for initial value problems\u003cbr\u003e 11. Well-posed and stable initial-boundary value problems\u003cbr\u003e 12. Elliptic partial differential equations and difference schemes\u003cbr\u003e 13. Linear iterative methods\u003cbr\u003e 14. The method of steepest descent and the conjugate gradient method\u003cbr\u003e Appendix A. Matrix and vectoranalysis\u003cbr\u003e Appendix B. A survey of real analysis\u003cbr\u003e Appendix C. A Survey of results from complex analysis\u003cbr\u003e References\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":52410747584792,"sku":"9780898716399","price":91.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780898716399i.jpg?v=1784251377","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/finite-difference-schemes-and-partial-differential-equations-paperback-softback-9780898716399","provider":"Freshly Printed Books","version":"1.0","type":"link"}