Numerical Methods for Ordinary Differential Equations Initial Value Problems /

• Main Authors: Griffiths, David F. (Author), Higham, Desmond J. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: London : Springer London, 2010.
• Series: Springer Undergraduate Mathematics Series,
• Subjects: Mathematics.; Electronic data processing.; Numerical analysis.; Numerical Analysis.; Numeric Computing.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-85729-148-6

Numerical Methods for Ordinary Differential Equations is a self-contained introduction to a fundamental field of numerical analysis and scientific computation. Written for undergraduate students with a mathematical background, this book focuses on the analysis of numerical methods without losing sig...

Table of Contents:

• ODEsAn Introduction
• Eulers Method
• The Taylor Series Method
• Linear Multistep MethodsI
• Linear Multistep MethodsII
• Linear Multistep MethodsIII
• Linear Multistep MethodsIV
• Linear Multistep MethodsV
• RungeKutta MethodI: Order Conditions
• Runge-Kutta MethodsII Absolute Stability
• Adaptive Step Size Selection
• Long-Term Dynamics
• Modified Equations
• Geometric Integration Part IInvariants
• Geometric Integration Part IIHamiltonian Dynamics
• Stochastic Differential Equations
• A Glossary and Notation
• B Taylor Series
• C Jacobians and Variational Equations
• D Constant-Coefficient Difference Equations.