Stochastic Equations for Complex Systems: Theoretical and Computational Topics (Mathematical Engineering)
暫譯: 複雜系統的隨機方程:理論與計算主題(數學工程)
- 出版商: Springer
- 出版日期: 2015-05-20
- 售價: $2,410
- 貴賓價: 9.5 折 $2,290
- 語言: 英文
- 頁數: 192
- 裝訂: Hardcover
- ISBN: 3319182056
- ISBN-13: 9783319182056
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相關主題
商品描述
Mathematical analyses and computational predictions of the behavior of complex systems are needed to effectively deal with weather and climate predictions, for example, and the optimal design of technical processes. Given the random nature of such systems and the recognized relevance of randomness, the equations used to describe such systems usually need to involve stochastics.
The basic goal of this book is to introduce the mathematics and application of stochastic equations used for the modeling of complex systems. A first focus is on the introduction to different topics in mathematical analysis. A second focus is on the application of mathematical tools to the analysis of stochastic equations. A third focus is on the development and application of stochastic methods to simulate turbulent flows as seen in reality.
This book is primarily oriented towards mathematics and engineering PhD students, young and experienced researchers, and professionals working in the area of stochastic differential equations and their applications. It contributes to a growing understanding of concepts and terminology used by mathematicians, engineers, and physicists in this relatively young and quickly expanding field.
商品描述(中文翻譯)
數學分析和複雜系統行為的計算預測對於有效處理天氣和氣候預測,以及技術過程的最佳設計是必要的。考慮到這些系統的隨機性質以及隨機性的重要性,描述這些系統的方程式通常需要涉及隨機過程(stochastics)。
本書的基本目標是介紹用於複雜系統建模的隨機方程的數學及其應用。第一個重點是介紹數學分析中的不同主題。第二個重點是將數學工具應用於隨機方程的分析。第三個重點是發展和應用隨機方法來模擬現實中觀察到的湍流。
本書主要面向數學和工程博士生、年輕及經驗豐富的研究人員,以及在隨機微分方程及其應用領域工作的專業人士。它有助於增進對數學家、工程師和物理學家在這個相對年輕且快速擴展的領域中使用的概念和術語的理解。