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Construction of Discrete Transparent Boundary Conditions for Schrödinger-Type Equations

Please always quote using this URN: urn:nbn:de:0297-zib-3292
  • We present a general technique for constructing nonlocal transparent boundary conditions for time-discretized one-dimensional Schrödinger type equations. The main tool of construction is the discrete counterpart to Mikusi\'nski's continuous algebraic operator approach. Existing techniques are simplified and generalized. Both adaptive time-steps and time-dependent exterior potentials are taken into account.

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Metadaten
Author:Frank Schmidt
Document Type:ZIB-Report
Date of first Publication:1997/12/03
Series (Serial Number):ZIB-Report (SC-97-60)
ZIB-Reportnumber:SC-97-60
Published in:Appeared in: Surv. Math. Ind. 9 (1999) 87-100
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