(known) Errors in my Dissertation:
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Chapter 2:
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p. 43 sqrt in (2.1.17) in front of d/dt is wrong (of course)
p. 44 reference [D10] should be [F10]
p. 44 in (2.2.4) division by Delta x (not Delta t)
p. 45 in (2.2.9) is Delta x missing in the factors b/(2a);
it should be b*Delta x/(2a) which is the cell Peclet number
Chapter 3:
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p. 74 last "Im" in (3.2.8) must be "Re"
p. 84 in (3.5.6) definition of "q": "k/2" must be "2/k"
References:
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Ref. [F7] not in alphabetical order
Remarks to my Dissertation:
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References:
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Ref. [D1]
A. Arnold, M. Ehrhardt and I. Sofronov,
Discrete transparent boundary conditions for the Schr\"odinger equation:
Fast calculation, approximation, and stability,
Comm. Math. Sci., Vol. 1, No. 3, (2003), 501-556.
Ref. [T5]
A. Arnold,
Mathematical concepts of open quantum boundary conditions,
Transp. Theory Stat. Phys. 30/4-6 (2001) 561-584.
last updated March 29, 2005