Skip to main content
SpringerLink
Log in

Convergence, stability and truncation error estimation of a method for the numerical integration of the initial value problemY″=F(X, Y)

  • Published:
CALCOLO Aims and scope Submit manuscript

Abstract

In this paper a detailed study of the convergence and stability of a numerical method for the differential problem

$$\left\{ \begin{gathered} y'' = f(x,y) \hfill \\ y(x_0 ) = y_0 \hfill \\ y'(x_0 ) = y_0 ^\prime \hfill \\ \end{gathered} \right.$$

has carried out and its truncation error estimated.

Some numerical experiments are described.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Calabria, Commenda, 87036, Rende, Italy

    A. Varano

Authors
  1. F. Costabile
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Varano
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Work supported by G. N. I. M. (C. N. R.).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Costabile, F., Varano, A. Convergence, stability and truncation error estimation of a method for the numerical integration of the initial value problemY″=F(X, Y) . Calcolo 18, 371–382 (1981). https://doi.org/10.1007/BF02576437

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02576437

Keywords

Search

Navigation