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Zbl 1187.65078
van de Vyver, Hans
An embedded phase-fitted modified Runge-Kutta method for the numerical integration of the radial Schrödinger equation. (English)
[J] Phys. Lett., A 352, No. 4-5, 278-285 (2006). ISSN 0375-9601

Summary: A new way for constructing efficient embedded modified Runge-Kutta methods for the numerical solution of the Schrödinger equation is presented in this Letter. The methods of the embedded scheme have algebraic orders five and four. Applications of the new pair to several problems arising from the radial Schrödinger equation indicate that the new pair is more efficient than other well known comparable embedded Runge-Kutta pairs.
MSC 2000:
*65L06 Multistep, Runge-Kutta, and extrapolation methods

Keywords: embedded explicit Runge-Kutta methods; variable stepsize algorithms; phase-fitting; resonance problem; phase-shift problem

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