书目名称 | Numerical Analysis of Ordinary and Delay Differential Equations |
编辑 | Taketomo Mitsui,Guang-Da Hu |
视频video | http://file.papertrans.cn/669/668948/668948.mp4 |
概述 | Is a concise textbook of numerical solutions of both ordinary differential equations and delay DEs.Provides readers with numerical algorithms and explicit illustrative figures.Treats complex function |
丛书名称 | UNITEXT |
图书封面 |  |
描述 | This book serves as a concise textbook for students in an advanced undergraduate or first-year graduate course in various disciplines such as applied mathematics, control, and engineering, who want to understand the modern standard of numerical methods of ordinary and delay differential equations. Experts in the same fields can also learn about the recent developments in numerical analysis of such differential systems. .Ordinary differential equations (ODEs) provide a strong mathematical tool to express a wide variety of phenomena in science and engineering. Along with its own significance, one of the powerful directions toward which ODEs extend is to incorporate an unknown function with delayed argument. This is called delay differential equations (DDEs), which often appear in mathematical modelling of biology, demography, epidemiology, and control theory. In some cases, the solution of a differential equation can be obtained by algebraic combinations of known mathematical functions. In many practical cases, however, such a solution is quite difficult or unavailable, and numerical approximations are called for. Modern development of computers accelerates the situation and, moreove |
出版日期 | Textbook 2023 |
关键词 | numerical algorithm; differential equation; ordinary; delay; stability; numerical analysis |
版次 | 1 |
doi | https://doi.org/10.1007/978-981-19-9263-6 |
isbn_softcover | 978-981-19-9262-9 |
isbn_ebook | 978-981-19-9263-6Series ISSN 2038-5714 Series E-ISSN 2532-3318 |
issn_series | 2038-5714 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |