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Discrete Transparent Boundary Conditions for GeneralSchrödinger‐type Equations
Author(s) -
Matthias Ehrhardt
Publication year - 1998
Publication title -
vlsi design
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.123
H-Index - 24
eISSN - 1065-514X
pISSN - 1026-7123
DOI - 10.1155/1999/72984
Subject(s) - mathematics , bounded function , boundary (topology) , type (biology) , mathematical analysis , domain (mathematical analysis) , boundary value problem , crank–nicolson method , partial differential equation , scheme (mathematics) , ecology , biology
Transparent boundary conditions (TBCs) for general Schrödinger-type equations on abounded domain can be derived explicitly under the assumption that the given potentialV is constant on the exterior of that domain. In 1D these boundary conditions are non-localin time (of memory type)

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