%0 Journal Article %J ESAIM: Mathematical Modelling and Numerical Analysis %I Cambridge Journals Online %A Ducomet,Bernard %A Zlotnik,Alexander %A Zlotnik,Ilya %D 2014 %T The splitting in potential Crank–Nicolson scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip %V 48 %N 06 %P 1681-1699 %R doi:10.1051/m2an/2014004 %K The time-dependent Schrödinger equation, the Crank–Nicolson finite-difference scheme, the Strang splitting, approximate and discrete transparent boundary conditions, stability, tunnel effect %U http://dx.doi.org/10.1051/m2an/2014004 %@ 1290-3841 %[ 2014