An improved starting step of the G-B-S-method for the solution of ordinary differential equations

DOI10.1007/BF02238735zbMath0662.65065OpenAlexW207043387MaRDI QIDQ1114350

Martin Kiehl, Christoph Zenger

Publication date: 1989

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02238735

zbMATH Keywords

stabilityextrapolation methodsEuler's methodmidpoint rulefinal smoothingGregg-Bulirsch-Stoer methodstarting step

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Extrapolation to the limit, deferred corrections (65B05) Roundoff error (65G50) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (1)

Parallel one-step methods with minimal parallel stages

Cites Work

• Unnamed Item
• Order and stepsize control in extrapolation methods
• Smoothing the extrapolated midpoint rule
• Numerical treatment of ordinary differential equations by extrapolation methods
• On Extrapolation Algorithms for Ordinary Initial Value Problems
• Comparing Numerical Methods for Ordinary Differential Equations

This page was built for publication: An improved starting step of the G-B-S-method for the solution of ordinary differential equations