Runge-Kutta-Nyström interpolants for the numerical integration of special second-order peridic initial-value problems
DOI10.1016/0898-1221(93)90054-YzbMath0792.65054MaRDI QIDQ1324367
Publication date: 24 May 1994
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Runge-Kutta-Nyström methodsoscillatory solutioninterpolantsphase-lag analysissecond- order differential equations
Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
Related Items (22)
Cites Work
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- A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems
- Phase properties of high order, almost P-stable formulae
- Two-step fourth-order \(P\)-stable methods with phase-lag of order six for \(y=f(t,y)\)
- A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems. II: Explicit method
- A low-order embedded Runge-Kutta method for periodic initial-value problems
- Accurate numerical approximations to initial value problems with periodical solutions
- Klassische Runge-Kutta-Nyström-Formeln mit SchrittweitenKontrolle für Differentialgleichungen \(\ddot x= f(t,x)\)
- Numerov-type methods with minimal phase-lag for the numerical integration of the one-dimensional Schrödinger equation
- Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions
- Predictor-Corrector Methods for Periodic Second-Order Initial-Value Problems
- Numerical Methods for y″ =f(x, y) via Rational Approximations for the Cosine
- A two-step method with phase-lag of order infinity for the numerical integration of second order periodic initial-value problem
- A Class of Single-Step Methods for Systems of Nonlinear Differential Equations
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