An explicit trigonometrically fitted Runge–Kutta method for stiff and oscillatory problems with two frequencies
DOI10.1080/00207160.2018.1437263zbMath1480.65161OpenAlexW2790401801MaRDI QIDQ5030570
Xiong You, Yanping Yang, Yong Lei Fang
Publication date: 17 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2018.1437263
phase-lagorder conditionexplicit Runge-Kutta methodstiff and oscillatory problemtwo-frequency trigonometrical fitting
Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)
Cites Work
- A trigonometrically-fitted method with two frequencies, one for the solution and another one for the derivative
- Trigonometric collocation methods based on Lagrange basis polynomials for multi-frequency oscillatory second-order differential equations
- New explicit adapted Numerov methods for second-order oscillatory differential equations
- Exponentially fitted two-step hybrid methods for \(y^{\prime\prime} = f(x,y)\)
- Trigonometrically fitted two-step hybrid methods for special second order ordinary differential equations
- Comparison of some special optimized fourth-order Runge-Kutta methods for the numerical solution of the Schrödinger equation
- A Runge-Kutta-Nyström pair for the numerical integration of perturbed oscillators
- Stability and phase-lag analysis of explicit Runge-Kutta methods with variable coefficients for oscillatory problems
- Trigonometrically-fitted method for a periodic initial value problem with two frequencies
- Exponential fitting BDF-Runge-Kutta algorithms
- Trigonometrically fitted explicit Numerov-type method for periodic IVPs with two frequencies
- Symplectic conditions for exponential fitting Runge-Kutta-Nyström methods
- On the frequency choice in trigonometrically fitted methods
- Accuracy and linear stability of RKN methods for solving second-order stiff problems
- An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions
- SDIRK methods for stiff ODEs with oscillating solutions
- Exponentially fitted explicit Runge-Kutta-Nyström methods
- Runge-Kutta methods adapted to the numerical integration of oscillatory problems
- Trigonometrically-fitted Scheifele two-step methods for perturbed oscillators
- Exponentially-fitted explicit Runge-Kutta methods
- Bounds on asymptotic-numerical solvers for ordinary differential equations with extrinsic oscillation
- Symmetric and symplectic exponentially fitted Runge-Kutta-Nyström methods for Hamiltonian problems
- Efficient implementation of RKN-type Fourier collocation methods for second-order differential equations
- Sixth-order symplectic and symmetric explicit ERKN schemes for solving multi-frequency oscillatory nonlinear Hamiltonian equations
- Exponential fitting BDF algorithms and their properties
- Order conditions for RKN methods solving general second-order oscillatory systems
- A trigonometrically fitted explicit Numerov-type method for second-order initial value problems with oscillating solutions
- Modified explicit Runge-Kutta methods for the numerical solution of the Schrödinger equation
- Chebyshevian multistep methods for ordinary differential equations
- A class of explicit two-step hybrid methods for second-order IVPs
- Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions
- Solving Ordinary Differential Equations I
- Stability of collocation methods for the numerical solution ofy″=f (x,y)
- Symmetric Multistip Methods for Periodic Initial Value Problems
- Exponential Fourier Collocation Methods for Solving First-Order Differential Equations
- P-stability and exponential-fitting methods for y = f(x,y)
- Geometric Numerical Integration
- New Runge-Kutta Method for Stiff Oscillatory Problems with Two Frequencies
- Four-stage symplectic and P-stable SDIRKN methods with dispersion of high order
- Arbitrary-order trigonometric Fourier collocation methods for multi-frequency oscillatory systems
This page was built for publication: An explicit trigonometrically fitted Runge–Kutta method for stiff and oscillatory problems with two frequencies