Progress in Differential Algebraic Equations: Unveiling the Secrets of Dynamic Systems

A Comprehensive Guide to the Latest Research and Applications

Differential algebraic equations (DAEs) are a powerful tool for modeling a wide range of dynamic systems, from chemical reactions to mechanical vibrations. They combine ordinary differential equations (ODEs) with algebraic equations, providing a more comprehensive description of the system's behavior.

In recent years, there has been significant progress in the development of numerical methods for solving DAEs. This has opened up new possibilities for applications in areas such as control theory, optimization, and simulation.

Progress in Differential-Algebraic Equations: Deskriptor 2024 (Differential-Algebraic Equations Forum)

by Matteo Meneghini

4.7 out of 5

Language	:	English
File size	:	4872 KB
Print length	:	218 pages
Screen Reader	:	Supported
Hardcover	:	476 pages
Item Weight	:	18.51 pounds
Dimensions	:	6.14 x 1.06 x 9.21 inches
X-Ray for textbooks	:	Enabled

FREE

This book provides a comprehensive overview of the latest research and applications in DAEs. It is written by leading experts in the field and covers a wide range of topics, including:

• The theory of DAEs
• Numerical methods for solving DAEs
• Applications of DAEs in control theory and optimization
• Simulation of DAEs

This book is an essential resource for researchers and practitioners working with DAEs. It is also a valuable textbook for graduate students in applied mathematics, engineering, and computer science.

Key Features

• Comprehensive coverage of the latest research and applications in DAEs
• Written by leading experts in the field
• Covers a wide range of topics, including theory, numerical methods, applications, and simulation
• Essential resource for researchers and practitioners working with DAEs
• Valuable textbook for graduate students in applied mathematics, engineering, and computer science

Table of Contents

2. The Theory of DAEs
3. Numerical Methods for Solving DAEs
4. Applications of DAEs in Control Theory and Optimization
5. Simulation of DAEs
6. Bibliography
7. Index

Detailed Description

Chapter 1:

This chapter provides an overview of the book and the field of DAEs. It discusses the history of DAEs, their applications, and the challenges associated with solving them.

Chapter 2: The Theory of DAEs

This chapter presents the mathematical theory of DAEs. It covers topics such as the existence and uniqueness of solutions, the stability of solutions, and the controllability and observability of DAEs.

Chapter 3: Numerical Methods for Solving DAEs

This chapter describes the various numerical methods that can be used to solve DAEs. It covers topics such as the explicit Runge-Kutta methods, the implicit Runge-Kutta methods, and the multistep methods.

Chapter 4: Applications of DAEs in Control Theory and Optimization

This chapter explores the applications of DAEs in control theory and optimization. It covers topics such as the design of control systems, the optimization of dynamic systems, and the simulation of dynamic systems.

Chapter 5: Simulation of DAEs

This chapter discusses the simulation of DAEs. It covers topics such as the selection of a numerical method, the implementation of the numerical method, and the analysis of the simulation results.

About the Authors

The authors of this book are leading experts in the field of DAEs. They have published extensively on the theory, numerical methods, and applications of DAEs. Their research has helped to advance the field and has made DAEs more accessible to a wider range of users.

Free Download Your Copy Today!

To Free Download your copy of Progress in Differential Algebraic Equations, please visit our website or your favorite online retailer.

Progress in Differential-Algebraic Equations: Deskriptor 2024 (Differential-Algebraic Equations Forum)

by Matteo Meneghini

4.7 out of 5

Language	:	English
File size	:	4872 KB
Print length	:	218 pages
Screen Reader	:	Supported
Hardcover	:	476 pages
Item Weight	:	18.51 pounds
Dimensions	:	6.14 x 1.06 x 9.21 inches
X-Ray for textbooks	:	Enabled

FREE