Discrete transparent boundary conditions for the Schrödinger equation: Fast calculation, approximation, and stability. Arnold, A., Ehrhardt, M., & Sofronov, I. Communications in Mathematical Sciences, 1(3):501–556, 2003.
bibtex   
@Article{         Arnold_2003ab,
  author        = {Arnold, Anton and Ehrhardt, Matthias and Sofronov, Ivan},
  journal       = {Communications in Mathematical Sciences},
  keywords      = {pde,bc,schroedinger,approximation},
  langid        = {english},
  number        = {3},
  pages         = {501--556},
  title         = {Discrete transparent boundary conditions for the {Schrödinger} equation: Fast calculation, approximation, and stability},
  volume        = {1},
  year          = {2003},
  shortjournal  = {Comm. Math. Sci.}
}

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