Numerical Methods for Ordinary Differential Equations Initial Value Problems

Numerical Methods for Ordinary Differential Equations Initial Value Problems / by David F. Griffiths, Desmond J. Higham.

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Bibliographic Details
Main Authors: Griffiths, David F. (Author), Higham, Desmond J. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: London : Springer London : Imprint: Springer, 2010.
Edition:1st ed. 2010.
Series:Springer Undergraduate Mathematics Series,
Springer eBook Collection.
Subjects:
Numerical analysis.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • ODEs—An Introduction
  • Euler’s Method
  • The Taylor Series Method
  • Linear Multistep Methods—I: Construction and Consistency
  • Linear Multistep Methods—II: Convergence and Zero-Stability
  • Linear Multistep Methods—III: Absolute Stability
  • Linear Multistep Methods—IV: Systems of ODEs
  • Linear Multistep Methods—V: Solving Implicit Methods
  • Runge–Kutta Method—I: Order Conditions
  • Runge-Kutta Methods–II Absolute Stability
  • Adaptive Step Size Selection
  • Long-Term Dynamics
  • Modified Equations
  • Geometric Integration Part I—Invariants
  • Geometric Integration Part II—Hamiltonian Dynamics
  • Stochastic Differential Equations.

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