{"product_id":"numerical-methods-for-ordinary-differential-equations-hardback-9780471967583","title":"Numerical Methods for Ordinary Differential Equations (Hardback) 9780471967583","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eNumerical Methods for Ordinary Differential Equations\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eJ. C. Butcher (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780471967583, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 6 June 2003\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e440 pages\u003cbr\u003e23 x 15.8 x 2.9 cm, 0.794 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“I enjoyed reading this book.  It is well written and quite approachable.” (\u003ci\u003eMathematical Reviews\u003c\/i\u003e, 2004c)  \u003cp\u003e\"…covers now all the material that is modern standard in this field… belongs into any mathematical library...\" (Zentralblatt Math, Vol.1040, No.09, 2004)\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003eThis new book updates the exceptionally popular \u003ci\u003eNumerical Analysis of Ordinary Differential Equations\u003c\/i\u003e.\u003c\/p\u003e \u003cp\u003e\"This book is...an indispensible reference for any researcher.\"\u003cbr\u003e—\u003cb\u003eAmerican Mathematical Society on the First Edition\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eFeatures:\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eNew exercises included in each chapter.\u003c\/li\u003e \u003cli\u003eAuthor is widely regarded as the world expert on Runge-Kutta methods.\u003c\/li\u003e \u003cli\u003eDidactic aspects of the book have been enhanced by interspersing the text with exercises.\u003c\/li\u003e \u003cli\u003eUpdated Bibliography.\u003c\/li\u003e \u003c\/ul\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface.\u003cbr\u003e \u003cbr\u003e 1. Differential and Difference Equations.\u003cbr\u003e \u003cbr\u003e 10. Differential Equation Problems.\u003cbr\u003e \u003cbr\u003e 11. Differential Equation Theory.\u003cbr\u003e \u003cbr\u003e 12. Difference Equation Problems.\u003cbr\u003e \u003cbr\u003e 13. Difference Equation Theory.\u003cbr\u003e \u003cbr\u003e 2. Numerical Differential Equation Methods.\u003cbr\u003e \u003cbr\u003e 20. The Euler Method.\u003cbr\u003e \u003cbr\u003e 21. Analysis of the Euler Method.\u003cbr\u003e \u003cbr\u003e 22. Generalizations of the Euler Method.\u003cbr\u003e \u003cbr\u003e 23. Runge-Kutta Methods.\u003cbr\u003e \u003cbr\u003e 24. Linear Multistep Methods.\u003cbr\u003e \u003cbr\u003e 25. Taylor Series Methods.\u003cbr\u003e \u003cbr\u003e 26. Hybrid Methods.\u003cbr\u003e \u003cbr\u003e 3. Runge-Kutta Methods.\u003cbr\u003e \u003cbr\u003e 30. Preliminaries.\u003cbr\u003e \u003cbr\u003e 31. Order Conditions.\u003cbr\u003e \u003cbr\u003e 32. Low Order Explicit Methods.\u003cbr\u003e \u003cbr\u003e 33. Runge-Kutta Methods with Error Estimates.\u003cbr\u003e \u003cbr\u003e 34. Implicit Runge-Kutta Methods.\u003cbr\u003e \u003cbr\u003e 35. Stability of Implicit Runge-Kutta Methods.\u003cbr\u003e \u003cbr\u003e 36. Implementable Implicit Runge-Kutta Methods.\u003cbr\u003e \u003cbr\u003e 37. Order Barriers.\u003cbr\u003e \u003cbr\u003e 38. Algebraic Properties of Runge-Kutta Methods.\u003cbr\u003e \u003cbr\u003e 39. Implementation Issues.\u003cbr\u003e \u003cbr\u003e 4. Linear Multistep Methods.\u003cbr\u003e \u003cbr\u003e 40. Preliminaries.\u003cbr\u003e \u003cbr\u003e 41. The Order of Linear Multistep Methods.\u003cbr\u003e \u003cbr\u003e 42. Errors and Error Growth.\u003cbr\u003e \u003cbr\u003e 43. Stability Characteristics.\u003cbr\u003e \u003cbr\u003e 44. Order and Stability Barriers.\u003cbr\u003e \u003cbr\u003e 45. One-leg Methods and G-stability.\u003cbr\u003e \u003cbr\u003e 46. Implementation Issues.\u003cbr\u003e \u003cbr\u003e 5. General Linear Methods.\u003cbr\u003e \u003cbr\u003e 50. Representing Methods in General Linear Form.\u003cbr\u003e \u003cbr\u003e 51. Consistency, Stability and Convergence.\u003cbr\u003e \u003cbr\u003e 52. The Stability of General Linear Methods.\u003cbr\u003e \u003cbr\u003e 53. The Order of General Linear Methods.\u003cbr\u003e \u003cbr\u003e 54. Methods with Runge-Kutta Stabiulity.\u003cbr\u003e \u003cbr\u003e References.\u003cbr\u003e \u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley","offers":[{"title":"Brand New","offer_id":52316707553560,"sku":"9780471967583","price":130.67,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780471967583.jpg?v=1781822312","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/numerical-methods-for-ordinary-differential-equations-hardback-9780471967583","provider":"Freshly Printed Books","version":"1.0","type":"link"}