A family of improved Falkner-type methods for oscillatory systems
DOI10.1016/j.amc.2016.08.046zbMath1411.65088OpenAlexW2511028287MaRDI QIDQ1737167
Publication date: 27 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2016.08.046
Stability and convergence of numerical methods for ordinary differential equations (65L20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) 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) Error bounds for numerical methods for ordinary differential equations (65L70)
Related Items (2)
Cites Work
- Unnamed Item
- Review of explicit Falkner methods and its modifications for solving special second-order I.V.P.S
- ERKN integrators for systems of oscillatory second-order differential equations
- Multidimensional adapted Runge-Kutta-Nyström methods for oscillatory systems
- Order conditions for ARKN methods solving oscillatory systems
- Symplectic conditions for exponential fitting Runge-Kutta-Nyström methods
- An adapted explicit hybrid method of Numerov-type for the numerical integration of perturbed oscillators
- Explicit symplectic multidimensional exponential fitting modified Runge-Kutta-Nyström methods
- A Gautschi-type method for oscillatory second-order differential equations
- Two-step extended RKN methods for oscillatory systems
- Adapted Falkner-type methods solving oscillatory second-order differential equations
- Variable stepsize implementation of multistep methods for \(y\prime\prime =f(x,y,y^{\prime})\)
- New methods for oscillatory systems based on ARKN methods
- Numerical integration of ordinary differential equations based on trigonometric polynomials
- Einige abstrakte Begriffe in der numerischen Mathematik (Anwendungen der Halbordnung).(Some abstract notions in the numerical mathematic. (Applications et semiorder))
- Controlling the error growth in long–term numerical integration of perturbed oscillations in one or several frequencies
- Galerkin Alternating-Direction Methods for Nonrectangular Regions Using Patch Approximations
- P-stability and exponential-fitting methods for y = f(x,y)
- Geometric Numerical Integration
This page was built for publication: A family of improved Falkner-type methods for oscillatory systems
