Families of explicit two-step methods for integration of problems with oscillating solutions
DOI10.1016/S0096-3003(01)00322-8zbMath1023.65071MaRDI QIDQ1855972
Publication date: 28 January 2003
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
periodic solutionsdissipationnumerical experimentsoscillating solutionsphase lagsixth algebraic orderexplicit two-step methodsexplicit Numerov methods
Periodic solutions to ordinary differential equations (34C25) 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)
Related Items (1)
Cites Work
- Unnamed Item
- A \(P\)-stable eighth-order method for the numerical integration of periodic initial-value problems
- A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems
- A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems. II: Explicit method
- Explicit two-step methods with minimal phase-lag for the numerical integration of special second-order initial-value problems and their application to the one-dimensional Schrödinger equation
- Explicit high order methods for the numerical integration of periodic initial-value problems
- Explicit Numerov type methods with reduced number of stages.
- An explicit sixth-order method with phase-lag of order eight for \(y=f(t,y)\)
- Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions
- Symmetric Multistip Methods for Periodic Initial Value Problems
- Cheap Error Estimation for Runge--Kutta Methods
- High Phase-Lag-Order Runge--Kutta and Nyström Pairs
- Dissipative high phase-lag order methods
This page was built for publication: Families of explicit two-step methods for integration of problems with oscillating solutions
