An optimized Runge-Kutta method for the numerical solution of the radial Schrödinger equation
From MaRDI portal
Publication:1955300
DOI10.1155/2012/867948zbMath1264.65113OpenAlexW2058419253WikidataQ58912579 ScholiaQ58912579MaRDI QIDQ1955300
Yanping Yang, Qinghe Ming, Yong Lei Fang
Publication date: 11 June 2013
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/867948
Related Items
Zero-dissipative semi-implicit hybrid method for solving oscillatory or periodic problems ⋮ Parareal algorithms implemented with IMEX Runge-Kutta methods ⋮ Higher order dispersive and dissipative hybrid method for the numerical solution of oscillatory problems ⋮ An improved discretization of Schrödinger-like radial equations
Cites Work
- A new hybrid two-step method with vanished phase-lag and its first and second derivatives for the numerical solution of the Schrödinger equation and related problems
- A family of eight-step methods with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation
- High algebraic order methods with vanished phase-lag and its first derivative for the numerical solution of the Schrödinger equation
- Construction of an optimized explicit Runge-Kutta-Nyström method for the numerical solution of oscillatory initial value problems
- New embedded pairs of explicit Runge-Kutta methods with FSAL properties adapted to the numerical integration of oscillatory problems
- A family of ten-step methods with vanished phase-lag and its first derivative for the numerical solution of the Schrödinger equation
- Comparison of some special optimized fourth-order Runge-Kutta methods for the numerical solution of the Schrödinger equation
- Stability and phase-lag analysis of explicit Runge-Kutta methods with variable coefficients for oscillatory problems
- A four-step phase-fitted method for the numerical integration of second order initial-value problems
- Exponentially and trigonometrically fitted methods for the solution of the Schrödinger equation
- An embedded phase-fitted modified Runge-Kutta method for the numerical integration of the radial Schrödinger equation
- A family of embedded Runge-Kutta formulae
- Symplectic integrators for the numerical solution of the Schrödinger equation
- Zero dissipative, explicit Numerov-type methods for second order IVPs with oscillating solutions
- An embedded exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation and related periodic initial-value problems
- A phase-fitted collocation-based Runge-Kutta-Nyström method
- Dissipative trigonometrically-fitted methods for linear second-order IVPs with oscillating solution.
- An optimized Runge-Kutta method for the solution of orbital problems
- Runge-Kutta methods with minimal dispersion and dissipation for problems arising from computational acoustics
- On the stability of exponential fitting BDF algorithms
- Optimized Runge-Kutta pairs for problems with oscillating solutions
- An optimized explicit Runge-Kutta-Nyström method for the numerical solution of orbital and related periodical initial value problems
- Exponentially-fitted explicit Runge-Kutta methods
- Optimization as a function of the phase-lag order of nonlinear explicit two-step \(P\)-stable method for linear periodic IVPs
- Practical points concerning the solution of the Schrödinger equation
- The numerical solution of coupled differential equations arising from the Schrödinger equation
- AN EMBEDDED RUNGE–KUTTA METHOD WITH PHASE-LAG OF ORDER INFINITY FOR THE NUMERICAL SOLUTION 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
- Solving Ordinary Differential Equations I
- A two-step method with phase-lag of order infinity for the numerical integration of second order periodic initial-value problem
- Symmetric Multistip Methods for Periodic Initial Value Problems
- P-stability and exponential-fitting methods for y = f(x,y)
- AN EMBEDDED 5(4) PAIR OF MODIFIED EXPLICIT RUNGE–KUTTA METHODS FOR THE NUMERICAL SOLUTION OF THE SCHRÖDINGER EQUATION
- An Improved Eigenvalue Corrector Formula for Solving the Schrodinger Equation for Central Fields
- A modified phase-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation
