A P-stable exponentially-fitted method for the numerical integration of the Schrödinger equation (Q5719213)

scientific article; zbMATH DE number 2248161

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English	A P-stable exponentially-fitted method for the numerical integration of the Schrödinger equation	scientific article; zbMATH DE number 2248161

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instance of

scholarly article

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title

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

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zbMATH Open document ID

1082.81027

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DOI

10.1080/08927020500371373

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published in

Molecular Simulation

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publication date

18 January 2006

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Mathematics Subject Classification ID

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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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author

Theodore E. Simos

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1080/08927020500371373

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OpenAlex ID

W1997996084

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cites work

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Efficient Numerical Solution of Orbital Problems with the use of Symmetric Four-step Trigonometrically-fitted Methods

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Extended One-Step Methods: An Exponential Fitting Approach

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Partitioned Linear Multistep Method for Long Term Integration of the N-Body Problem

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Trigonometrically and Exponentially fitted Symplectic Methods of third order for the Numerical Integration of the Schrödinger Equation

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

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

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

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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 modified phase-fitted Runge-Kutta method for the numerical solution 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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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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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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Q3332175

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Symmetric Multistip Methods for Periodic Initial Value Problems

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Numerical Methods for y″ =f(x, y) via Rational Approximations for the Cosine

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Numerov made explicit has better stability

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A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems. II: Explicit method

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Practical points concerning the solution of the Schrödinger equation

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High-Order Embedded Runge-Kutta-Nystrom Formulae

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Q3779682

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

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

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

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Sitelinks

Mathematics(1 entry)

mardi Publication:5719213