An eighth-order exponentially fitted two-step hybrid method of explicit type for solving orbital and oscillatory problems
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Publication:1751066
DOI10.1007/s11075-017-0374-1zbMath1444.65027OpenAlexW2736249602MaRDI QIDQ1751066
Publication date: 23 May 2018
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: http://zaguan.unizar.es/record/71109
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical methods for initial value problems involving ordinary differential equations (65L05)
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- A new approach on the construction of trigonometrically fitted two step hybrid methods
- Exponentially fitted two-step hybrid methods for \(y^{\prime\prime} = f(x,y)\)
- Explicit exponentially fitted two-step hybrid methods of high order for second-order oscillatory IVPs
- Trigonometrically fitted explicit Numerov-type method for periodic IVPs with two frequencies
- Extended RKN-type methods for numerical integration of perturbed oscillators
- A phase-fitted Runge-Kutta-Nyström method for the numerical solution of initial value problems with oscillating solutions
- On the frequency choice in trigonometrically fitted methods
- An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions
- Runge-Kutta algorithms for oscillatory problems
- Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials
- Operations on oscillatory functions
- Frequency evaluation in exponential fitting multistep algorithms for ODEs
- Exponentially-fitted Runge-Kutta-Nyström method for the numerical solution of initial-value problems with oscillating solutions
- A new family of Runge-Kutta type methods for the numerical integration of perturbed oscillators
- Exponentially fitted Runge-Kutta methods
- An embedded pair of exponentially fitted explicit Runge-Kutta methods
- Runge-Kutta-Nyström methods adapted to the numerical integration of perturbed oscillators
- Exponentially fitted explicit Runge-Kutta-Nyström methods
- Exponentially-fitted explicit Runge-Kutta methods
- An explicit Numerov-type method for second-order differential equations with oscillating solutions
- Numerical integration of ordinary differential equations based on trigonometric polynomials
- A class of explicit two-step hybrid methods for second-order IVPs
- A functionally fitted three-stage explicit singly diagonally implicit Runge-Kutta method
- EXPLICIT EIGHTH ORDER NUMEROV-TYPE METHODS WITH REDUCED NUMBER OF STAGES FOR OSCILLATORY IVPs
- Order conditions for a class of two-step methods for y = f (x, y)
- EXPLICIT EIGHTH ORDER TWO-STEP METHODS WITH NINE STAGES FOR INTEGRATING OSCILLATORY PROBLEMS
- Mixed collocation methods for \(y=f(x,y)\)
- A functional fitting Runge-Kutta method with variable coefficients
- Frequency determination and step-length control for exponentially-fitted Runge-Kutta methods
