期刊全稱 | Analysis of Discretization Methods for Ordinary Differential Equations | 影響因子2023 | Hans J. Stetter | 視頻video | http://file.papertrans.cn/157/156349/156349.mp4 | 學科分類 | Springer Tracts in Natural Philosophy | 圖書封面 |  | 影響因子 | Due 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 num | Pindex | Book 1973 |
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