Symplectic trigonometrically fitted partitioned Runge-Kutta methods

DOI10.1016/J.PHYSLETA.2006.12.080zbMath1209.65138OpenAlexW2060562907MaRDI QIDQ715942

Zacharoula Kalogiratou

Publication date: 19 April 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2006.12.080

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Related Items (4)

Symplectic partitioned Runge-Kutta methods with the phase-lag property ⋮ A new family of phase-fitted and amplification-fitted Runge-Kutta type methods for oscillators ⋮ Diagonally implicit trigonometrically fitted symplectic Runge-Kutta methods ⋮ Runge-Kutta type methods with special properties for the numerical integration of ordinary differential equations

Cites Work

• Unnamed Item
• A fourth-order symplectic exponentially fitted integrator
• An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions
• Dissipative Chebyshev exponential-fitted methods for numerical solution of second-order differential equations.
• 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
• Exponentially fitted explicit Runge-Kutta-Nyström methods
• Exponentially-fitted explicit Runge-Kutta methods
• Exponentially fitted symplectic methods for the numerical integration of the Schrödinger equation
• A NEW MODIFIED RUNGE–KUTTA–NYSTRÖM METHOD WITH PHASE-LAG OF ORDER INFINITY FOR THE NUMERICAL SOLUTION OF THE SCHRÖDINGER EQUATION AND RELATED PROBLEMS
• The accuracy of symplectic integrators

This page was built for publication: Symplectic trigonometrically fitted partitioned Runge-Kutta methods