Difference schemes for second-order ordinary differential equations with corrector and predictor properties

DOI10.1515/RNAM-2022-0015zbMath1496.65091OpenAlexW4282821712WikidataQ115235807 ScholiaQ115235807MaRDI QIDQ2145112

Anton E. Novikov, Vladimir Viktorovich Shaydurov

Publication date: 17 June 2022

Published in: Russian Journal of Numerical Analysis and Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/rnam-2022-0015

zbMATH Keywords

predictor-corrector algorithmssecond order ordinary differential equationsStörmer methodexplicit difference schemes

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

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• Regarding the absolute stability of Størmer-Cowell methods
• Störmer-Cowell: Straight, summed and split. An overview
• The techniques for constructing a family of symmetric multistep methods
• Solving Ordinary Differential Equations I
• Symmetric Multistip Methods for Periodic Initial Value Problems
• Accuracy of Symmetric Multi-Step Methods for the Numerical Modelling of Satellite Motion

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