Institut für Allgemeine Elektrotechnik, Uni Rostock - Universität ...
Institut für Allgemeine Elektrotechnik, Uni Rostock - Universität ...
Institut für Allgemeine Elektrotechnik, Uni Rostock - Universität ...
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Central Difference Quotient (Leap Frog)<br />
Im<br />
( λ )<br />
G<br />
1<br />
" + "<br />
ω Δ t =<br />
0<br />
( ω t) max<br />
± Δ<br />
" − "<br />
( ω t) max<br />
± Δ<br />
" + "<br />
1<br />
Re<br />
( λ )<br />
G<br />
ω Δ t =<br />
2<br />
" − "<br />
Stability conditions demands: max λ ≤ 1<br />
From this one can derive a condition for Δt<br />
which insures<br />
that ω Δt<br />
≤ 2 :<br />
i<br />
2<br />
Δt<br />
≤ Δ t = with ω = max λ<br />
ω<br />
Prof. Dr. Ursula van Rienen, <strong>Uni</strong>versität <strong>Rostock</strong>, Fakultät <strong>für</strong> Informatik und <strong>Elektrotechnik</strong> (IEF), <strong>Institut</strong> <strong>für</strong> <strong>Allgemeine</strong> <strong>Elektrotechnik</strong> (IAE)<br />
Gi ,<br />
max max A,<br />
i<br />
max<br />
27
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