Trigonometrically fitted two-step Obrechkoff linear methods for the Schrödinger equation (Q2000922)

scientific article; zbMATH DE number 7075227

Language	Label	Description	Also known as
English	Trigonometrically fitted two-step Obrechkoff linear methods for the Schrödinger equation	scientific article; zbMATH DE number 7075227

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instance of

scholarly article

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title

Trigonometrically fitted two-step Obrechkoff linear methods for the Schrödinger equation (English)

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1 July 2019

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zbMATH Keywords

exponentially fitted method

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two-step Obrechkoff method

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Schrödinger equation

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error analysis

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s10910-019-01027-y

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cites work

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

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A modified Runge–Kutta method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems

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An embedded Runge-Kutta method with phase-lag of order infinity for the numerical solution of the Schrödinger equation

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An embedded exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation and related periodic initial-value problems

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Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers.

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An exponentially-fitted high order method for long-term integration of periodic initial-value problems

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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 General Procedure For the Adaptation of Multistep Algorithms to the Integration of Oscillatory Problems

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A one-step method for direct integration of structural dynamic equations

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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 eight-step methods with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation

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A new high order two-step method with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation

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A family of Runge-Kutta methods with zero phase-lag and derivatives for the numerical solution of the Schrödinger equation and related problems

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

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Exponentially and trigonometrically fitted methods for the solution of the Schrödinger equation

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Q5845048

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A trigonometrically-fitted one-step method with multi-derivative for the numerical solution to the one-dimensional Schrödinger equation

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A new high efficient and high accurate Obrechkoff four-step method for the periodic nonlinear undamped Duffing's equation

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A Mathematica program for the two-step twelfth-order method with multi-derivative for the numerical solution of a one-dimensional Schrödinger equation

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Exponential fitting BDF algorithms: explicit and implicit 0-stable methods

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

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Q3249645

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published in

Journal of Mathematical Chemistry

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Identifiers

zbMATH Open document ID

1417.81173

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Mathematics Subject Classification ID

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10.1007/S10910-019-01027-Y

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Sitelinks

Mathematics(1 entry)

mardi Publication:2000922