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Summary: Approximation, stability and fast calculation
of non{local boundary conditions for the
Schrodinger equation
Anton Arnold 1 , Matthias Ehrhardt 2 , Ivan Sofronov 3
anton.arnold@math.uni-muenster.de,
ehrhardt@math.tu-berlin.de, sofronov@spp.keldysh.ru
1 Institut fur Numerische Mathematik, Universitat Munster, Einsteinstr.
62, D-48149 Munster, Germany
2 Institut fur Mathematik, Technische Universitat Berlin, Str. des 17. Juni
136, D-10623 Berlin, Germany
3 Keldysh Institute of Applied Mathematics, Russian Academy of Sci-
ences, Miusskaya sq. 4, Moscow, Russia
AMS 2000 Subject Classi cation: 65M12, 35Q40, 45K05
Key words: Schrodinger equation, transparent boundary conditions, dis-
crete convolution, sum of exponentials, Pade approximations, nite di erence
schemes
June 25, 2003
Abstract
We propose a way to eÆciently treat the well-known transparent
boundary conditions for the Schrodinger equation. Our approach is
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