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.
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 |