| 書目名稱 | Introduction to Numerical Methods in Differential Equations | | 編輯 | Mark H. Holmes | | 視頻video | http://file.papertrans.cn/474/473984/473984.mp4 | | 概述 | Over 100 illustrations.Numerous exercise sets, MATLAB computer codes (for both students and instructors), instructor overheads, and movies included.Includes supplementary material: | | 叢書名稱 | Texts in Applied Mathematics | | 圖書封面 |  | | 描述 | The title gives a reasonable ?rst-order approximation to what this book is about. To explain why, let’s start with the expression “di?erential equations.” These are essential in science and engineering, because the laws of nature t- ically result in equations relating spatial and temporal changes in one or more variables.Todevelopanunderstandingofwhatisinvolvedin?ndingsolutions, the book begins with problems involving derivatives for only one independent variable, and these give rise to ordinary di?erential equations. Speci?cally, the ?rst chapter considers initial value problems (time derivatives), and the second concentrates on boundary value problems (space derivatives). In the succeeding four chapters problems involving both time and space derivatives, partial di?erential equations, are investigated. This brings us to the next expression in the title: “numerical methods.” This is a book about how to transform differential equations into problems that can be solved using a computer.The fact is that computers are only able to solve discrete problems and generally do this using ?nite-precision arithmetic. What this means is that in deriving and then using a numerical algorithmthec | | 出版日期 | Textbook 2007 | | 關(guān)鍵詞 | Boundary value problem; MATLAB; arithmetic; differential equation; partial differential equation; partial | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-387-68121-4 | | isbn_softcover | 978-1-4419-2163-5 | | isbn_ebook | 978-0-387-68121-4Series ISSN 0939-2475 Series E-ISSN 2196-9949 | | issn_series | 0939-2475 | | copyright | Springer-Verlag New York 2007 |
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