Stability of Numerical Methods for Delay Differential Equations

1st Edition

Authors:

  • Jiaoxun Kuang
  • Yuhao Cong
  • Description

    Distributed by Elsevier Science on behalf of Science Press. Available internationally for the first time, this book introduces the basic concepts and theory of the stability of numerical methods for solving differential equations, with emphasis on delay differential equations and basic techniques for proving stability of numerical methods. It is a desirable reference for engineers and academic researchers and can also be used by graduate students in mathematics, physics, and engineering.

    Key Features

    * Emphasis on the stability of numerical methods for solving delay differential equations, which is vital for engineers and researchers applying these mathematical models * Introduces basic concepts and theory as well as basic techniques for readers to apply in practice * Can be used as for graduate courses or as a reference book for researchers and engineers in related areas * Written by leading mathematicians from Shanghai Normal University in China

    Readership

    Mathematicians, graduate students in mathematics, physics and engineering, and research scholars and engineers in control theory, population dynamics, electrical networks, environmental science, biology, bioecology, and life science.

    Table of Contents

    Linear Multistep Methods; Runge-Kutta Methods; BDF Methods and Block Methods; Stability of Methods for Linear DDEs; Linear Systems of DDEs; Nonlinear Delay Differential Equations; Neutral Delay Differential Equations; Delay Volterra Integral Equations; Equations with Variable Delays

    Details

    No. of pages:
    295
    Language:
    English
    Copyright:
    © 2005
    Published:
    Imprint:
    Elsevier Science
    Print ISBN:
    9787030163172
    Electronic ISBN:
    9780080950761