{"product_id":"numerical-methods-for-ordinary-differential-equations-initial-value-problems-9780857291479","title":"Numerical Methods for Ordinary Differential Equations: Initial Value Problems","description":"\u003cp\u003e • Author(s): David F. Griffiths\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Number Systems\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\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\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\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\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\u003cp\u003eand a range of modern themes: \u003c\/p\u003e\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\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","brand":"Springer","offers":[{"title":"Paperback","offer_id":45274771882135,"sku":"9780857291479","price":2547.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780857291479.webp?v=1769280902","url":"https:\/\/atlanticbooks.com\/products\/numerical-methods-for-ordinary-differential-equations-initial-value-problems-9780857291479","provider":"Atlantic Books","version":"1.0","type":"link"}