On some one-step implicit methods as dynamical systems

The one-step implicit methods, the backward Euler being the most known, require the solution of a nonlinear equation at each step.To avoid this, these methods can be approximated by making use of a one step of a Newton method. Thus the methods are transformed into some explicit ones. We will obtain...

Full description

Bibliographic Details
Main Author: Călin-Ioan Gheorghiu
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2003-08-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://ictp.acad.ro/jnaat/journal/article/view/745