Butcher J.C. Numerical Methods for Ordinary Differential Equations

John Wiley & Sons Ltd, 2003. – 440 pages.
This book represents an attempt to modernize and expand the previous volume 'The Numerical Analysis of Ordinary Differential Equations: Runge-Kutta and General Linear Methods'. It is more modern in that it considers several topics that had not yet emerged as important research areas when the former book was written. It is expanded in that it contains a comprehensive treatment of linear multistep methods. This achieves a better balance than the earlier volume which made a special feature of Runge-Kutta methods.Differential and Difference Equations.
Numerical Differential Equation Methods.
Runge-Kutta Methods.
Linear Multistep Methods.
General Linear Methods.