A new implicit six-step P-stable method for the numerical solution of Schrödinger equation
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Publication:5030525
DOI10.1080/00207160.2019.1588257zbMath1480.65170OpenAlexW2919752144MaRDI QIDQ5030525
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Publication date: 17 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2019.1588257
ordinary differential equationsSchrödinger equationphase-lagP-stablesymmetric multistep methodsphase fitting
Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
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Cites Work
- Unnamed Item
- An implicit symmetric linear six-step methods with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of the radial Schrödinger equation and related problems
- 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 novel family of P-stable symmetric extended linear multistep methods for oscillators
- Trigonometric collocation methods based on Lagrange basis polynomials for multi-frequency oscillatory second-order differential equations
- Trigonometrically fitted high-order predictor-corrector method with phase-lag of order infinity for the numerical solution of radial Schrödinger equation
- On the choice of the frequency in trigonometrically-fitted methods for periodic problems
- High algebraic order methods with vanished phase-lag and its first derivative for the numerical solution of the Schrödinger equation
- Mulitstep methods with vanished phase-lag and its first and second derivatives for the numerical integration of the Schrödinger equation
- A numerical ODE solver that preserves the fixed points and their stability
- A new eight-order symmetric two-step multiderivative method for the numerical solution of second-order IVPs with oscillating solutions
- P-stable linear symmetric multistep methods for periodic initial-value problems
- Variable stepsize Störmer-Cowell methods
- A fourth-order Runge-Kutta method based on BDF-type Chebyshev approximations
- A new family of two stage symmetric two-step methods with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation
- On the frequency choice in trigonometrically fitted methods
- A variable step method for the numerical integration of the one- dimensional Schrödinger equation
- Two-step fourth-order \(P\)-stable methods with phase-lag of order six for \(y=f(t,y)\)
- A family of embedded Runge-Kutta formulae
- A finite-difference method for the numerical solution of the Schrödinger equation
- High phase-lag order trigonometrically fitted two-step Obrechkoff methods for the numerical solution of periodic initial value problems
- A Runge-Kutta type implicit high algebraic order two-step method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of coupled differential equations arising from the Schrödinger equation
- 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
- A new four-step P-stable Obrechkoff method with vanished phase-lag and some of its derivatives for the numerical solution of radial Schrödinger equation
- A family of high-order multistep methods with vanished phase-lag and its derivatives for the numerical solution of the Schrödinger equation
- The numerical solution of coupled differential equations arising from the Schrödinger equation
- Symmetric Multistip Methods for Periodic Initial Value Problems
- Triangular splitting implementation of RKN‐type Fourier collocation methods for second‐order differential equations
- Exponential Fourier Collocation Methods for Solving First-Order Differential Equations
- A family of A-stable Runge Kutta collocation methods of higher order for initial-value problems
- Arbitrary-order trigonometric Fourier collocation methods for multi-frequency oscillatory systems
