On a splitting higher-order scheme with discrete transparent boundary conditions for the Schrödinger equation in a semi-infinite parallelepiped
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Publication:299445
DOI10.1016/j.amc.2014.07.058zbMath1339.65111arXiv1309.7280OpenAlexW2126493651MaRDI QIDQ299445
Alla Romanova, Bernard Ducomet, Alexander Zlotnik
Publication date: 22 June 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1309.7280
stabilityCrank-Nicolson schemetime-dependent Schrödinger equationdiscrete transparent boundary conditionshigher-order schemestrang splitting
Related Items (7)
The Numerov-Crank-Nicolson scheme on a non-uniform mesh for the time-dependent Schrödinger equation on the half-axis ⋮ On construction and properties of compact 4th order finite-difference schemes for the variable coefficient wave equation ⋮ Transparent boundary conditions for higher-order finite-difference schemes of the Schrödinger equation in (1+1)D ⋮ The finite difference scheme for nonlinear Schrödinger equations on unbounded domain by artificial boundary conditions ⋮ On higher-order compact ADI schemes for the variable coefficient wave equation ⋮ ON COMPACT 4TH ORDER FINITE-DIFFERENCE SCHEMES FOR THE WAVE EQUATION ⋮ Splitting in Potential Finite-Difference Schemes with Discrete Transparent Boundary Conditions for the Time-Dependent Schrödinger Equation
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