Two-frequency trigonometrically-fitted and symmetric linear multi-step methods for second-order oscillators
DOI10.1016/j.cam.2020.113312zbMath1471.65071OpenAlexW3130500409MaRDI QIDQ2020492
Xiong You, Juan Zheng, Bin Wang, Ting Huang, Yong Lei Fang
Publication date: 23 April 2021
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2020.113312
Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite difference and finite volume methods for ordinary differential equations (65L12)
Cites Work
- Unnamed Item
- Unnamed Item
- A novel family of P-stable symmetric extended linear multistep methods for oscillators
- A new phase-fitted eight-step symmetric embedded predictor-corrector method (EPCM) for orbital problems and related IVPs with oscillating solutions
- 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
- On the choice of the frequency in trigonometrically-fitted methods for periodic problems
- Revised trigonometrically fitted two-step hybrid methods with equation dependent coefficients for highly oscillatory problems
- A first approach in solving initial-value problems in ODEs by elliptic fitting methods
- A numerical ODE solver that preserves the fixed points and their stability
- Trigonometrically-fitted method for a periodic initial value problem with two frequencies
- Trigonometrically fitted explicit Numerov-type method for periodic IVPs with two frequencies
- Extended RKN-type methods for numerical integration of perturbed oscillators
- High-order P-stable multistep methods
- Variable stepsize Störmer-Cowell methods
- A fourth-order Runge-Kutta method based on BDF-type Chebyshev approximations
- Special perturbation theory methods in celestial mechanics. I: Principles for the construction and substantiation of the application
- A finite-difference method for the numerical solution of the Schrödinger equation
- An embedded exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation and related periodic initial-value problems
- Efficient energy-preserving methods for general nonlinear oscillatory Hamiltonian system
- Two-frequency-dependent Gauss quadrature rules
- Two-step extended RKN methods for oscillatory systems
- Trigonometrically-fitted Scheifele two-step methods for perturbed oscillators
- A symmetric eight-step predictor-corrector method for the numerical solution of the radial Schrödinger equation and related IVPs with oscillating solutions
- Exponentially-fitted explicit Runge-Kutta methods
- Explicit pseudo two-step exponential Runge-Kutta methods for the numerical integration of first-order differential equations
- 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
- The boundness of the operator-valued functions for multidimensional nonlinear wave equations with applications
- Chebyshevian multistep methods for ordinary differential equations
- Solving Ordinary Differential Equations I
- Symmetric Multistip Methods for Periodic Initial Value Problems
- On accuracy and unconditional stability of linear multistep methods for second order differential equations
- Triangular splitting implementation of RKN‐type Fourier collocation methods for second‐order differential equations
- Exponential Fourier Collocation Methods for Solving First-Order Differential Equations
- P-stability and exponential-fitting methods for y = f(x,y)
- A family of A-stable Runge Kutta collocation methods of higher order for initial-value problems
- An exponentially-fitted high order method for long-term integration of periodic initial-value problems
- Arbitrary-order trigonometric Fourier collocation methods for multi-frequency oscillatory systems
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