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UNIVERSITAT Asymptotically correct finite difference schemes
 

Summary: TECHNISCHE
UNIVERSIT¨AT
WIEN
Asymptotically correct finite difference schemes
for highly oscillatory ODEs
Anton ARNOLD
with N. Ben Abdallah (Toulouse), J. Geier (Vienna), C. Negulescu (Marseille)
TU Vienna
Institute for Analysis and Scientific Computing
Beijing, April 2009
Anton ARNOLD (TU Vienna) Asymptotically correct FD schemes 1 / 22
Application: electron injection in semiconductor (diode)
x
V(x)
E
stationary Schr¨odinger equation (1d):
2
2m
= 2
xx (x) + E - V (x)

  

Source: Arnold, Anton - Institut für Analysis und Scientific Computing, Technische Universität Wien

 

Collections: Mathematics