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Numerical Methods for Ordinary Differential Equations

BOOK published 2010 in Springer Undergraduate Mathematics Series

Authors: David F. Griffiths | Desmond J. Higham

Modified Equations

BOOK CHAPTER published 2010 in Numerical Methods for Ordinary Differential Equations

Authors: David F. Griffiths | Desmond J. Higham

Stochastic Differential Equations

BOOK CHAPTER published 2010 in Numerical Methods for Ordinary Differential Equations

Authors: David F. Griffiths | Desmond J. Higham

Euler’s Method

BOOK CHAPTER published 2010 in Numerical Methods for Ordinary Differential Equations

Authors: David F. Griffiths | Desmond J. Higham

ODEs—An Introduction

BOOK CHAPTER published 2010 in Numerical Methods for Ordinary Differential Equations

Authors: David F. Griffiths | Desmond J. Higham

Long-Term Dynamics

BOOK CHAPTER published 2010 in Numerical Methods for Ordinary Differential Equations

Authors: David F. Griffiths | Desmond J. Higham

Runge–Kutta Method—I: Order Conditions

BOOK CHAPTER published 2010 in Numerical Methods for Ordinary Differential Equations

Authors: David F. Griffiths | Desmond J. Higham

Runge-Kutta Methods–II Absolute Stability

BOOK CHAPTER published 2010 in Numerical Methods for Ordinary Differential Equations

Authors: David F. Griffiths | Desmond J. Higham

Linear Multistep Methods—III: Absolute Stability

BOOK CHAPTER published 2010 in Numerical Methods for Ordinary Differential Equations

Authors: David F. Griffiths | Desmond J. Higham

Linear Multistep Methods—V: Solving Implicit Methods

BOOK CHAPTER published 2010 in Numerical Methods for Ordinary Differential Equations

Authors: David F. Griffiths | Desmond J. Higham

Adaptive Step Size Selection

BOOK CHAPTER published 2010 in Numerical Methods for Ordinary Differential Equations

Authors: David F. Griffiths | Desmond J. Higham

The Taylor Series Method

BOOK CHAPTER published 2010 in Numerical Methods for Ordinary Differential Equations

Authors: David F. Griffiths | Desmond J. Higham

Linear Multistep Methods—I: Construction and Consistency

BOOK CHAPTER published 2010 in Numerical Methods for Ordinary Differential Equations

Authors: David F. Griffiths | Desmond J. Higham

Linear Multistep Methods—IV: Systems of ODEs

BOOK CHAPTER published 2010 in Numerical Methods for Ordinary Differential Equations

Authors: David F. Griffiths | Desmond J. Higham

Geometric Integration Part I—Invariants

BOOK CHAPTER published 2010 in Numerical Methods for Ordinary Differential Equations

Authors: David F. Griffiths | Desmond J. Higham

Linear Multistep Methods—II: Convergence and Zero-Stability

BOOK CHAPTER published 2010 in Numerical Methods for Ordinary Differential Equations

Authors: David F. Griffiths | Desmond J. Higham

Geometric Integration Part II—Hamiltonian Dynamics

BOOK CHAPTER published 2010 in Numerical Methods for Ordinary Differential Equations

Authors: David F. Griffiths | Desmond J. Higham

Ordinary Differential Equations

BOOK CHAPTER published 1996 in Springer Series in Computational Mathematics

Authors: Hans-Görg Roos | Martin Stynes | Lutz Tobiska

Numerical Methods for the Solution of Ordinary Differential Equations

BOOK CHAPTER published 1985 in Differential Equations

Authors: Andrei N. Tikhonov | Adelaida B. Vasil’eva | Alexei G. Sveshnikov

Finite Element Method for Ordinary Differential Equations

BOOK CHAPTER published 2000 in Springer Undergraduate Mathematics Series

Authors: Gwynne A. Evans | Jonathan M. Blackledge | Peter D. Yardley