{"product_id":"computational-differential-equations-paperback-9780521567381","title":"Computational Differential Equations (Paperback) 9780521567381","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eComputational Differential Equations\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis textbook on computational mathematics is based on a fusion of mathematical analysis, numerical computation and applications.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eK. Eriksson (Author), D. Estep (Author), P. Hansbo (Author), C. Johnson (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521567381, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 5 September 1996\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e556 pages, 20 b\/w illus.  40 exercises\u003cbr\u003e22.9 x 15.2 x 2.9 cm, 0.791 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' … delightful and illuminating …' Journal of Fluid Mechanics\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis substantial revision of the text Numerical Solution of Partial Differential Equations by the Finite Element Method by C. Johnson is a two volume introduction to the computational solution of differential equations using a unified approach organised around the adaptive finite element method. It presents a synthesis of mathematical modelling, analysis and computation. It provides the student with theoretical and practical tools useful for addressing the basic questions of computational mathematical modelling in science and engineering: How to model physical phenomena using differential equations? What are the properties of solutions of differential equations? How to compute solutions in practice? How to estimate and control the accuracy of computed solutions? The first volume begins by developing the basic issues at an elementary level in the context of a set of model problems in ordinary differential equations. The second volume extends the scope to nonlinear differential equations and systems of equations modelling a variety of phenomena such as reaction-diffusion, fluid flow and many-body dynamics, and reaches the frontiers of research.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePart I. Introduction: 1. Introduction\u003cbr\u003e 2. Review of calculus in one dimension\u003cbr\u003e 3. Piecewise polynomial approximation in one dimension\u003cbr\u003e 4. Review of linear algebra\u003cbr\u003e 5. A first example\u003cbr\u003e 6. Review of numerical linear algebra\u003cbr\u003e Part II. Archetypes: 7. An elliptic model problem\u003cbr\u003e 8. A parabolic model problem\u003cbr\u003e 9. A hyperbolic model problem\u003cbr\u003e 10. An elliptic-hyperbolic model problem\u003cbr\u003e 11. Systems of linear ode's\u003cbr\u003e 12. Calculus of variations\u003cbr\u003e 12. Computational mathematical modelling\u003cbr\u003e Part III. Problems in Several Dimensions: 13. Review of calculus in several dimensions\u003cbr\u003e 14. Elliptic problems\u003cbr\u003e 15. The heat equation\u003cbr\u003e 16. The wave equation\u003cbr\u003e 17. Stationary convection-diffusion\u003cbr\u003e 18. Time-dependent convection-diffusion\u003cbr\u003e 19. Eigenvalue problems\u003cbr\u003e 20. Power of abstraction\u003cbr\u003e Part IV. Appendix: 21. History of calculus\u003cbr\u003e 22. Femlab.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Fluid mechanics [\u003ca title=\"See our other books on Fluid mechanics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Fluid%20mechanics%20%5BPHDF%5D%22\"\u003ePHDF\u003c\/a\u003e], 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":"Default Title","offer_id":46002309890328,"sku":"9780521567381","price":62.59,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521567381i_af410b29-eee9-4e47-a43d-8c0b3cfc8a0b.jpg?v=1691369864","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/computational-differential-equations-paperback-9780521567381","provider":"Freshly Printed Books","version":"1.0","type":"link"}