A Phase-fitted Symplectic Partitioned Runge-Kutta Methods for the Numerical Solution of the Schrödinger Equation

Th Monovasilis,T E Simos,Z Kalogiratou,George Psihoyios,Theodore E Simos,Ch Tsitouras

doi:10.1063/1.3241410

A Phase-fitted Symplectic Partitioned Runge-Kutta Methods for the Numerical Solution of the Schrödinger Equation

Th Monovasilis, T E Simos + Show 4 more

https://doi.org/10.1063/1.3241410

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Publication Date: Jan 1, 2009

Citations: 4

#Symplectic Methods #Symplectic Partitioned Runge Kutta + Show 8 more

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Abstract

New Symplectic Partitioned Runge Kutta (SPRK) methods with phase‐lag of order infinity are derived in this paper. Specifically two new symplectic methods are constructed of second and third algebraic order. The methods are tested on the numerical estimation of the eigenvalues of the Schrodinger equation with several potentials.

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