Discrete Transparent Boundary Conditions for Schrödinger-Type Equations
Please always quote using this URN: urn:nbn:de:0297-zib-2289
- We present a general technique for constructing nonlocal transparent boundary conditions for one-dimensional Schrödinger-type equations. Our method supplies boundary conditions for the $\theta$-family of implicit one-step discretizations of Schrödinger's equation in time. The use of Mikusi\'nski's operator approach in time avoids direct and inverse transforms between time and frequency domains and thus implements the boundary conditions in a direct manner.
Author: | Frank Schmidt, David Yevick |
---|---|
Document Type: | ZIB-Report |
Date of first Publication: | 1996/05/20 |
Series (Serial Number): | ZIB-Report (SC-96-17) |
ZIB-Reportnumber: | SC-96-17 |
Published in: | Appeared in: Journal of Computational Physics 134 (1997) pp. 96-107 |