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Stability of Numerical Methods for Delay Differential Equations

  • 1st Edition - November 28, 2007
  • Latest edition
  • Authors: Jiaoxun Kuang, Yuhao Cong
  • Language: English

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… Read more

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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 MethodsRunge-Kutta MethodsBDF Methods and Block MethodsStability of Methods for Linear DDEsLinear Systems of DDEsNonlinear Delay Differential EquationsNeutral Delay Differential EquationsDelay Volterra Integral EquationsEquations with Variable Delays

Product details

  • Edition: 1
  • Latest edition
  • Published: November 28, 2007
  • Language: English

About the authors

JK

Jiaoxun Kuang

Affiliations and expertise
Mathematics, Science and Information College, Shanghai Normal University

YC

Yuhao Cong

Affiliations and expertise
Mathematics, Science and Information College, Shanghai Normal University