P-stability, trigonometric-fitting and the numerical solution of the radial Schrödinger equation (Q603254)

scientific article; zbMATH DE number 5812917

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English	P-stability, trigonometric-fitting and the numerical solution of the radial Schrödinger equation	scientific article; zbMATH DE number 5812917

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instance of

scholarly article

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title

P-stability, trigonometric-fitting and the numerical solution of the radial Schrödinger equation (English)

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published in

Computer Physics Communications

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publication date

6 November 2010

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zbMATH Keywords

numerical solution

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Schrödinger equation

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linear multistep methods

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P-stability

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exponential fitting

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trigonometric fitting

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full work available at URL

https://doi.org/10.1016/j.cpc.2008.12.029

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cites work

Q5569399

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On finite difference methods for the solution of the Schrödinger equation

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A \(P\)-stable exponentially fitted method 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 four-step phase-fitted method for the numerical integration of second order initial-value problems

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Q5719651

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Unconditionally stable Noumerov-type methods for second order differential equations

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Q4679151

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Comparison of some four-step methods for the numerical solution of the Schrödinger equation

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A family of exponentially-fitted Runge-Kutta methods with exponential order up to three for the numerical solution of the Schrödinger equation

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Trigonometrically fitted and exponentially fitted symplectic methods for the numerical integration of the Schrödinger equation

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The numerical solution of the radial Schrödinger equation via a trigonometrically fitted family of seventh algebraic order predictor-corrector methods

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A four-step exponentially fitted method for the numerical solution of the Schrödinger equation

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Exponentially fitted symplectic methods for the numerical integration of the Schrödinger equation

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Numerical solution of the two-dimensional time independent Schrödinger equation with Numerov-type methods

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Trigonometrically fitted Runge-Kutta methods for the numerical solution of the Schrödinger equation

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Sixth algebraic order trigonometrically fitted predictor-corrector methods for the numerical solution of the radial Schrödinger equation

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A family of multiderivative methods for the numerical solution of the Schrödinger equation

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Exponentially-fitted multiderivative methods for the numerical solution of the Schrödinger equation

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Symplectic methods of fifth order for the numerical solution of the radial Schrödinger equation

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A family of trigonometrically-fitted symmetric methods for the efficient solution of the Schrödinger equation and related problems

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Symplectic methods for the numerical solution of the radial Schrödinger equation

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Family of twelve steps exponential fitting symmetric multistep methods for the numerical solution of the Schrödinger equation

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New P-stable eighth algebraic order exponentially-fitted methods for the numerical integration of the Schrödinger equation

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Symmetric eighth algebraic order methods with minimal phase-lag for the numerical solution of the Schrödinger equation

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Construction of trigonometrically and exponentially fitted Runge--Kutta--Nyström methods for the numerical solution of the Schrödinger equation and related problems -- a method of 8th algebraic order

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A modified phase-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation

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A generator and an optimized generator of high-order hybrid explicit methods for the numerical solution of the Schrödinger equation. I: Development of the basic method

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A generator and an optimized generator of high-order hybrid explicit methods for the numerical solution of the Schrödinger equation. II: Development of the generator, optimization of the generator and numerical results

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A family of P-stable eighth algebraic order methods with exponential fitting facilities

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A new explicit Bessel and Neumann fitted eighth algebraic order method for the numerical solution of the Schrödinger equation

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Embedded eighth order methods for the numerical solution of the Schrödinger equation

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A family of \(P\)-stable exponentially-fitted methods for the numerical solution of the Schrödinger equation

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Some embedded modified Runge-Kutta methods for the numerical solution of some specific Schrödinger equations

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Eighth order methods with minimal phase-lag for accurate computations for the elastic scattering phase-shift problem

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A P-stable exponentially-fitted method for the numerical integration of the Schrödinger equation

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STABILIZATION OF A FOUR-STEP EXPONENTIALLY-FITTED METHOD AND ITS APPLICATION TO THE SCHRÖDINGER EQUATION

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

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Identifiers

zbMATH Open document ID

1198.81103

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Mathematics Subject Classification ID

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10.1016/J.CPC.2008.12.029

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Sitelinks

Mathematics(1 entry)

mardi Publication:603254