Two approaches to the construction of optimal second-order numerical methods and their application to the analysis of oscillatory nonlinear systems

DOI10.15407/DOPOVIDI2014.01.037zbMath1313.65183OpenAlexW2515096239MaRDI QIDQ2877106

V. M. Zayats

Publication date: 21 August 2014

Published in: Reports of the National Academy of Sciences of Ukraine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15407/dopovidi2014.01.037

zbMATH Keywords

implicit Euler methodoptimal numerical methodmethod of trapezoidsoscillatory nonlinear system

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

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