Some modified Runge-Kutta methods for the numerical solution of initial-value problems with oscillating solutions

DOI10.1023/A:1023204727185zbMath0939.65096OpenAlexW72421626MaRDI QIDQ1264568

Theodore E. Simos

Publication date: 19 June 2000

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1023204727185

zbMATH Keywords

Runge-Kutta methodserror controloscillatory problemsphase-lag order

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) 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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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