Applications of Differential-Algebraic Equations: Examples and Benchmarks
暫譯: 微分代數方程的應用:範例與基準測試
Campbell, Stephen, Ilchmann, Achim, Mehrmann, Volker
- 出版商: Springer
- 出版日期: 2019-06-24
- 售價: $3,750
- 貴賓價: 9.5 折 $3,563
- 語言: 英文
- 頁數: 313
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3030037177
- ISBN-13: 9783030037178
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商品描述
This volume encompasses prototypical, innovative and emerging examples and benchmarks of Differential-Algebraic Equations (DAEs) and their applications, such as electrical networks, chemical reactors, multibody systems, and multiphysics models, to name but a few. Each article begins with an exposition of modelling, explaining whether the model is prototypical and for which applications it is used. This is followed by a mathematical analysis, and if appropriate, a discussion of the numerical aspects including simulation. Additionally, benchmark examples are included throughout the text.
Mathematicians, engineers, and other scientists, working in both academia and industry either on differential-algebraic equations and systems or on problems where the tools and insight provided by differential-algebraic equations could be useful, would find this book resourceful.
商品描述(中文翻譯)
本卷涵蓋了微分代數方程(Differential-Algebraic Equations, DAEs)的原型、創新和新興範例及基準,並探討其應用,例如電網、化學反應器、多體系統和多物理場模型等。每篇文章都以建模的闡述開始,解釋該模型是否為原型以及其應用範疇。接著進行數學分析,並在適當的情況下討論數值方面,包括模擬。此外,整本書中還包含了基準範例。
數學家、工程師及其他科學家,無論是在學術界還是工業界,無論是專注於微分代數方程及系統,或是處理那些微分代數方程所提供的工具和見解可能有用的問題,都會發現這本書資源豐富。