Functionally fitted Runge-Kutta-Nyström methods

DOI10.1007/s10543-015-0561-1zbMath1359.65114arXiv1410.4287OpenAlexW1984664611MaRDI QIDQ285274

Roger B. Sidje, Nguyen Si Hoang

Publication date: 19 May 2016

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.4287

zbMATH Keywords

stabilitysuperconvergencecollocationsecond-order ordinary differential equationfunctionally fitted Runge-Kutta-Nyström methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (3)

Trigonometrically fitted multi-step RKN methods for second-order oscillatory initial value problems ⋮ Energy-preserving trigonometrically fitted continuous stage Runge-Kutta-Nyström methods for oscillatory Hamiltonian systems ⋮ Trigonometrically fitted three-derivative Runge-Kutta methods for solving oscillatory initial value problems

Cites Work

• Trigonometrically fitted two-step hybrid methods for special second order ordinary differential equations
• Some procedures for the construction of high-order exponentially fitted Runge-Kutta-Nyström methods of explicit type
• Stability of collocation-based Runge-Kutta-Nyström methods
• On functionally-fitted Runge-Kutta methods
• Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials
• Exponentially fitted explicit Runge-Kutta-Nyström methods
• On the stability of functionally fitted Runge-Kutta methods
• Mixed collocation methods for \(y=f(x,y)\)
• A functional fitting Runge-Kutta-Nyström method with variable coefficients.

This page was built for publication: Functionally fitted Runge-Kutta-Nyström methods