TY - JOUR T1 - On a splitting higher-order scheme with discrete transparent boundary conditions for the Schrödinger equation in a semi-infinite parallelepiped JO - Applied Mathematics and Computation VL - 255 IS - 0 SP - 196 EP - 206 PY - 2015/3/15/ T2 - Special issue devoted to the international conference ‘‘Numerical computations: Theory and Algorithms’’ June 17–23, 2013, Falerna, Italy AU - Ducomet, Bernard AU - Zlotnik, Alexander AU - Romanova, Alla SN - 0096-3003 DO - http://dx.doi.org/10.1016/j.amc.2014.07.058 UR - http://www.sciencedirect.com/science/article/pii/S0096300314010157 KW - Time-dependent Schrödinger equation KW - Crank–Nicolson scheme KW - Higher-order scheme KW - Strang splitting KW - Discrete transparent boundary conditions KW - Stability ER -