The techniques for constructing a family of symmetric multistep methods

DOI10.1134/S1995080221070118zbMath1472.65087OpenAlexW3189039990MaRDI QIDQ2046420

I. R. Adaev, Yu. V. Shan'ko, E. D. Karepova

Publication date: 18 August 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080221070118

zbMATH Keywords

interval of periodicitystability polynomialsymmetric linear multistep methodsperiodical initial value problem

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)

Related Items

Difference schemes for second-order ordinary differential equations with corrector and predictor properties, Predictor-corrector mode for symmetric multistep methods with non-vanishing interval of periodicity

Cites Work

• Unnamed Item
• Unnamed Item
• Regarding the absolute stability of Størmer-Cowell methods
• Numerical analysis of the symmetric methods
• Symmetric linear multistep
• Symmetric Multistip Methods for Periodic Initial Value Problems
• Accuracy of Symmetric Multi-Step Methods for the Numerical Modelling of Satellite Motion