Institut für Allgemeine Elektrotechnik, Uni Rostock - Universität ...

Central Difference Quotient
In the loss-free case ( =
Mσ 0) and allocating h in t + 0
m ⋅Δ t,
⎛ 1 ⎞
e in t0
+ ⎜m+ t the leap-frog scheme results from the central
2
⎟⋅Δ
⎝ ⎠
difference quotient which we will study now as single step scheme:
d ⎛ 0 A12
⎞
y = ⎜ ⎟ y+
q
dt ⎝A21
0 ⎠
−1
with A12 =− M −1
C,
A
µ
21
= Mε
C
⎛h⎞
⎛ 0 ⎞
and the vectors y = ⎜
⎟, q=⎜
.
⎜ −1
⎝e⎠ − ⎟
⎝ Mε
jS
⎠
Prof. Dr. Ursula van Rienen, Universität Rostock, Fakultät für Informatik und Elektrotechnik (IEF), Institut für Allgemeine Elektrotechnik (IAE)
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