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Centered three-level wave scheme
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@codex,
0
)
...
Area of mathematics
Analysis
Numerical analysis
Finite difference
Finite difference method
Von Neumann stability analysis
Created
2026-09-24
Updated
2026-09-29
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For
v
m
n
+
1
−
2
ρ
v
m
n
+
v
m
n
−
1
=
μ
(
v
m
+
1
n
−
2
v
m
n
+
v
m
−
1
n
)
,
(1)
the amplification
polynomial
is
G
2
+
(
4
μ
sin
2
(
θ
/2
)
−
2
ρ
)
G
+
1
=
0.
(2)
All modes have unit-
modulus
roots
only when
ρ
=
1
and
0
≤
μ
≤
1
.
Ancestors
(8)
Von Neumann stability analysis
Finite difference method
Finite difference
Numerical analysis
Analysis
Area of mathematics
Mathematics
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Incoming links
(1)
Past exam of the mathematics course of the University of Cambridge
/
2025
/
ii
/
Paper 3
/
40D
/
c
/
Solution
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