A new implicit six-step P-stable method for the numerical solution of Schrödinger equation (Q5030525)

scientific article; zbMATH DE number 7475923

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English	A new implicit six-step P-stable method for the numerical solution of Schrödinger equation	scientific article; zbMATH DE number 7475923

Statements

instance of

scholarly article

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title

A new implicit six-step P-stable method for the numerical solution of Schrödinger equation (English)

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published in

International Journal of Computer Mathematics

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publication date

17 February 2022

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zbMATH Keywords

phase fitting

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Schrödinger equation

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phase-lag

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ordinary differential equations

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P-stable

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symmetric multistep methods

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1080/00207160.2019.1588257

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cites work

The numerical solution of coupled differential equations arising from the Schrödinger equation

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High algebraic order methods with vanished phase-lag and its first derivative for the numerical solution of the Schrödinger equation

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Mulitstep methods with vanished phase-lag and its first and second derivatives for the numerical integration of the Schrödinger equation

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A family of high-order multistep methods with vanished phase-lag and its derivatives for the numerical solution of the Schrödinger equation

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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

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Two-step fourth-order \(P\)-stable methods with phase-lag of order six for \(y''=f(t,y)\)

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A family of embedded Runge-Kutta formulae

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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

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Symmetric Multistip Methods for Periodic Initial Value Problems

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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

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Variable stepsize Störmer-Cowell methods

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A fourth-order Runge-Kutta method based on BDF-type Chebyshev approximations

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On the frequency choice in trigonometrically fitted methods

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A variable step method for the numerical integration of the one- dimensional Schrödinger equation

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A new eight-order symmetric two-step multiderivative method for the numerical solution of second-order IVPs with oscillating solutions

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Trigonometrically fitted high-order predictor-corrector method with phase-lag of order infinity for the numerical solution of radial Schrödinger equation

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High phase-lag order trigonometrically fitted two-step Obrechkoff methods for the numerical solution of periodic initial value problems

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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

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A finite-difference method for the numerical solution of the Schrödinger equation

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A family of A-stable Runge Kutta collocation methods of higher order for initial-value problems

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A numerical ODE solver that preserves the fixed points and their stability

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On the choice of the frequency in trigonometrically-fitted methods for periodic problems

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P-stable linear symmetric multistep methods for periodic initial-value problems

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Triangular splitting implementation of RKN‐type Fourier collocation methods for second‐order differential equations

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Arbitrary-order trigonometric Fourier collocation methods for multi-frequency oscillatory systems

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Efficient implementation of RKN-type Fourier collocation methods for second-order differential equations

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Trigonometric collocation methods based on Lagrange basis polynomials for multi-frequency oscillatory second-order differential equations

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Exponential Fourier Collocation Methods for Solving First-Order Differential Equations

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Sixth-order symplectic and symmetric explicit ERKN schemes for solving multi-frequency oscillatory nonlinear Hamiltonian equations

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Q5005673

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A novel family of P-stable symmetric extended linear multistep methods for oscillators

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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

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Identifiers

zbMATH Open document ID

1480.65170

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DOI

10.1080/00207160.2019.1588257

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5030525