Fitted modifications of Runge–Kutta–Nyström pairs of orders 7(5) for addressing oscillatory problems

DOI10.1002/mma.8510MaRDI QIDQ6181981

Ch. Tsitouras, Unnamed Author, M. I. Kornilova, Vladislav N. Kovalnogov, Theodore E. Simos, Unnamed Author

Publication date: 20 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

initial value problemnumerical solutionperiodic problemsRunge-Kutta-Nyström

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (1)

Super-stable spline-in-tension numerical method of order three(four) for the second order nonlinear IVPs

Cites Work

• Some procedures for the construction of high-order exponentially fitted Runge-Kutta-Nyström methods of explicit type
• Exponentially-fitted Numerov methods
• Symbolic derivation of Runge-Kutta-Nyström order conditions
• High-order zero-dissipative Runge-Kutta-Nyström methods
• Dissipative Chebyshev exponential-fitted methods for numerical solution of second-order differential equations.
• A new optimized non-FSAL embedded Runge-Kutta-Nyström algorithm of orders 6 and 4 in six stages
• On fitted modifications of Runge-Kutta-Nyström pairs
• Exponentially fitted explicit Runge-Kutta-Nyström methods
• On high order Runge-Kutta-Nyström pairs
• Symplectic exponentially-fitted four-stage Runge-Kutta methods of the Gauss type
• Families of Runge-Kutta-Nystrom Formulae
• High-Order Embedded Runge-Kutta-Nystrom Formulae
• High Phase-Lag-Order Runge--Kutta and Nyström Pairs
• Two FORTRAN packages for assessing initial value methods

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