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 (Q1614160)
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scientific article; zbMATH DE number 1795008
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 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 |
scientific article; zbMATH DE number 1795008 |
Statements
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 (English)
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3 September 2002
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An \(m\)-stage Runge-Kutta-Nyström method for the investigation of ordinary differential equations of the form \[ u''(t)= f(t,u(t)), \] for which it is known that their solution is periodic or oscillating, is presented. Special attention to the numerical solution of the Schrödinger equation is given.
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trigonometrically-fitted
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exponentially-fitted
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Runge-Kutta-Nyström method
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Schrödinger equation
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scattering problems
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resonance problem
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periodic solutions
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oscillating solutions
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