Differential-algebraic equations pdf epub mobi txt 電子書下載2025

簡體網頁||繁體網頁

☆☆☆☆☆

出版者:European Mathematical Society

作者:Peter Kunkel

出品人:

頁數:385

译者:

出版時間:2006-2

價格:1376.00元

裝幀:Hardcover

isbn號碼:9783037190173

叢書系列:EMS Textbooks in Mathematics

圖書標籤:

微分代數方程
常微分方程
偏微分方程
數值分析
數學建模
控製理論
係統分析
工程數學
應用數學
數值方法

下載連結在頁面底部

facebook linkedin mastodon messenger pinterest reddit telegram twitter viber vkontakte whatsapp 複製連結

想要找書就要到小美書屋

book.quotespace.org

立刻按 ctrl+D收藏本頁

你會得到大驚喜!!

具體描述

Differential-algebraic equations are a widely accepted tool for the modeling and simulation of constrained dynamical systems in numerous applications, such as mechanical multibody systems, electrical circuit simulation, chemical engineering, control theory, fluid dynamics and many others.

This is the first comprehensive textbook that provides a systematic and detailed analysis of initial and boundary value problems for differential-algebraic equations. The analysis is developed from the theory of linear constant coefficient systems via linear variable coefficient systems to general nonlinear systems. Further sections on control problems, generalized inverses of differential-algebraic operators, generalized solutions, and differential equations on manifolds complement the theoretical treatment of initial value problems. Two major classes of numerical methods for differential-algebraic equations (Runge--Kutta and BDF methods) are discussed and analyzed with respect to convergence and order. A chapter is devoted to index reduction methods that allow the numerical treatment of general differential-algebraic equations. The analysis and numerical solution of boundary value problems for differential-algebraic equations is presented, including multiple shooting and collocation methods. A survey of current software packages for differential-algebraic equations completes the text.

The book is addressed to graduate students and researchers in mathematics, engineering and sciences, as well as practitioners in industry. A prerequisite is a standard course on the numerical solution of ordinary differential equations. Numerous examples and exercises make the book suitable as a course textbook or for self-study.