A new implicit symmetric method of sixth algebraic order with vanished phase-lag and its first derivative for solving Schrödinger's equation
From MaRDI portal
Publication:2053598
DOI10.1515/math-2021-0009zbMath1475.65047OpenAlexW3159159031MaRDI QIDQ2053598
Publication date: 29 November 2021
Published in: Open Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/math-2021-0009
Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)
Cites Work
- Unnamed Item
- Unnamed Item
- A new two stage symmetric two-step method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of the radial Schrödinger equation
- A trigonometrically-fitted method with two frequencies, one for the solution and another one for the derivative
- A new family of symmetric linear four-step methods for the efficient integration of the Schrödinger equation and related oscillatory problems
- A parametric symmetric linear four-step method for the efficient integration of the Schrödinger equation and related oscillatory problems
- An explicit four-step method with vanished phase-lag and its first and second derivatives
- A strategy for selecting the frequency in trigonometrically-fitted methods based on the minimization of the local truncation errors and the total energy error
- A family of explicit linear six-step methods with vanished phase-lag and its first derivative
- On the choice of the frequency in trigonometrically-fitted methods for periodic problems
- Exponentially fitted multi-derivative linear methods for the resonant state of the Schrödinger equation
- A new symmetric linear eight-step method with fifth trigonometric order for the efficient integration of the Schrödinger equation
- Symmetric multistep Obrechkoff methods with zero phase-lag for periodic initial value problems of second order differential equations
- P-stable linear symmetric multistep methods for periodic initial-value problems
- Variable-stepsize Chebyshev-type methods for the integration of second-order I.V.P.'s
- Exponentially and trigonometrically fitted methods for the solution of the Schrödinger equation
- Phase properties of high order, almost P-stable formulae
- A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems. II: Explicit method
- A family of embedded Runge-Kutta formulae
- A finite-difference method for the numerical solution of the Schrödinger equation
- An exponentially-fitted and trigonometrically-fitted method for the numerical solution of periodic initial-value problems.
- An efficient and economical high order method for the numerical approximation of the Schrödinger equation
- Modified two-derivative Runge-Kutta methods for the Schrödinger equation
- New P-stable eighth algebraic order exponentially-fitted methods for the numerical integration of the Schrödinger equation
- Exponentially-fitted multiderivative methods for the numerical solution of the Schrödinger equation
- An explicit hybrid method of Numerov type for second-order periodic initial-value problems
- A symmetric eight-step predictor-corrector method for the numerical solution of the radial Schrödinger equation and related IVPs with oscillating solutions
- THDRK methods with vanished phase-lag and its first derivative for the Schrödinger equation
- A new explicit four-step method with vanished phase-lag and its first and second derivatives
- Symmetric multistep methods with zero phase-lag for periodic initial value problems of second order differential equations
- P-stable exponentially-fitted Obrechkoff methods of arbitrary order for second-order differential equations
- Phase-fitted and amplification-fitted two-step hybrid methods for \(y^{\prime\prime }=f(x,y)\)
- A variable-step Numerov method for the numerical solution of the Schrödinger equation
- Stabilization of Cowell's method
- Families of Runge-Kutta-Nystrom Formulae
- P-Stable Obrechkoff Methods with Minimal Phase-Lag for Periodic Initial Value Problems
- Symmetric Multistip Methods for Periodic Initial Value Problems
- On accuracy and unconditional stability of linear multistep methods for second order differential equations
- A new efficient implicit four-step method with vanished phase-lag and some of its derivatives for the numerical solution of the radial Schr¨odinger equation
- P-stability and exponential-fitting methods for y = f(x,y)
