{"product_id":"9780857291479-numerical-methods-for-ordinary-differential-equations","title":"Numerical Methods for Ordinary Differential Equations","description":"\u003cmeta content=\"text\/html; charset=utf-8\" http-equiv=\"Content-Type\"\u003e\u003cp\u003e\u003cspan\u003eInitial Value Problems\u003cbr\u003eWritten for undergraduate students with a mathematical background, this book is a self-contained introduction to a fundamental field of numerical analysis and scientific computation. It features numerous theoretical and computational examples.\u003cbr\u003e\u003cp\u003eNumerical Methods for Ordinary Differential Equations is a self-contained introduction to a fundamental field of numerical analysis and scientific computation. Written for undergraduate students with a mathematical background, this book focuses on the analysis of numerical methods without losing sight of the practical nature of the subject.\u003c\/p\u003e\n\u003cp\u003eIt covers the topics traditionally treated in a first course, but also highlights new and emerging themes. Chapters are broken down into `lecture' sized pieces, motivated and illustrated by numerous theoretical and computational examples.\u003c\/p\u003e\n\u003cp\u003eOver 200 exercises are provided and these are starred according to their degree of difficulty. Solutions to all exercises are available to authorized instructors.\u003c\/p\u003e\n\u003cp\u003eThe book covers key foundation topics:\u003c\/p\u003e  \u003cp\u003eo Taylor series methods\u003c\/p\u003e  \u003cp\u003eo Runge--Kutta methods\u003c\/p\u003e  \u003cp\u003eo Linear multistep methods\u003c\/p\u003e  \u003cp\u003eo Convergence\u003c\/p\u003e  \u003cp\u003eo Stability\u003c\/p\u003e\n\u003cp\u003eand a range of modern themes:\u003c\/p\u003e\n\u003cp\u003eo Adaptive stepsize selection\u003c\/p\u003e  \u003cp\u003eo Long term dynamics\u003c\/p\u003e  \u003cp\u003eo Modified equations\u003c\/p\u003e  \u003cp\u003eo Geometric integration\u003c\/p\u003e  \u003cp\u003eo Stochastic differential equations\u003c\/p\u003e\n\u003cp\u003eThe prerequisite of a basic university-level calculus class is assumed, although appropriate background results are also summarized in appendices. A dedicated website for the book containing extra information can be found via www.springer.com\u003c\/p\u003e\n\u003cbr\u003e\u003cbr\u003e\u003c\/span\u003e\u003c\/p\u003e","brand":"Rarewaves","offers":[{"title":"Default Title","offer_id":56700055781750,"sku":"9780857291479","price":32.58,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0092\/7504\/8033\/files\/stand_36639254.jpg?v=1763625448","url":"https:\/\/www.rarewaves.com\/products\/9780857291479-numerical-methods-for-ordinary-differential-equations","provider":"Rarewaves.com","version":"1.0","type":"link"}