{"product_id":"analysis-of-discretization-methods-for-ordinary-differential-equations-9783642654732","title":"Analysis of Discretization Methods for Ordinary Differential Equations","description":"\u003cp\u003e • Author(s): Hans J. Stetter\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Differential Equations - General\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eDue to the fundamental role of differential equations in science and engineering it has long been a basic task of numerical analysts to generate numerical values of solutions to differential equations. Nearly all approaches to this task involve a \"finitization\" of the original differential equation problem, usually by a projection into a finite-dimensional space. By far the most popular of these finitization processes consists of a reduction to a difference equation problem for functions which take values only on a grid of argument points. Although some of these finite- difference methods have been known for a long time, their wide applica- bility and great efficiency came to light only with the spread of electronic computers. This in tum strongly stimulated research on the properties and practical use of finite-difference methods. While the theory or partial differential equations and their discrete analogues is a very hard subject, and progress is consequently slow, the initial value problem for a system of first order ordinary differential equations lends itself so naturally to discretization that hundreds of numerical analysts have felt inspired to invent an ever-increasing number of finite-difference methods for its solution. For about 15 years, there has hardly been an issue of a numerical journal without new results of this kind; but clearly the vast majority of these methods have just been variations of a few basic themes. In this situation, the classical text- book by P.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45283480010903,"sku":"9783642654732","price":3672.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783642654732.webp?v=1769305098","url":"https:\/\/atlanticbooks.com\/products\/analysis-of-discretization-methods-for-ordinary-differential-equations-9783642654732","provider":"Atlantic Books","version":"1.0","type":"link"}