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Statements
∇
4
u
0
,
0
=
1
6
h
4
(
184
u
0
,
0
-
(
u
0
,
3
+
u
0
,
-
3
+
u
3
,
0
+
u
-
3
,
0
)
+
14
(
u
0
,
2
+
u
0
,
-
2
+
u
2
,
0
+
u
-
2
,
0
)
-
77
(
u
0
,
1
+
u
0
,
-
1
+
u
1
,
0
+
u
-
1
,
0
)
+
20
(
u
1
,
1
+
u
1
,
-
1
+
u
-
1
,
1
+
u
-
1
,
-
1
)
-
(
u
1
,
2
+
u
2
,
1
+
u
1
,
-
2
+
u
2
,
-
1
+
u
-
1
,
2
+
u
-
2
,
1
+
u
-
1
,
-
2
+
u
-
2
,
-
1
)
)
+
O
(
h
4
)
.
superscript
∇
4
subscript
𝑢
0
0
1
6
superscript
ℎ
4
184
subscript
𝑢
0
0
subscript
𝑢
0
3
subscript
𝑢
0
3
subscript
𝑢
3
0
subscript
𝑢
3
0
14
subscript
𝑢
0
2
subscript
𝑢
0
2
subscript
𝑢
2
0
subscript
𝑢
2
0
77
subscript
𝑢
0
1
subscript
𝑢
0
1
subscript
𝑢
1
0
subscript
𝑢
1
0
20
subscript
𝑢
1
1
subscript
𝑢
1
1
subscript
𝑢
1
1
subscript
𝑢
1
1
subscript
𝑢
1
2
subscript
𝑢
2
1
subscript
𝑢
1
2
subscript
𝑢
2
1
subscript
𝑢
1
2
subscript
𝑢
2
1
subscript
𝑢
1
2
subscript
𝑢
2
1
Big-O
superscript
ℎ
4
{\displaystyle{\displaystyle\nabla^{4}u_{0,0}=\frac{1}{6h^{4}}\,(184u_{0,0}-(u%
_{0,3}+u_{0,-3}+u_{3,0}+u_{-3,0})+14(u_{0,2}+u_{0,-2}+u_{2,0}+u_{-2,0})-77(u_{%
0,1}+u_{0,-1}+u_{1,0}+u_{-1,0})+20(u_{1,1}+u_{1,-1}+u_{-1,1}+u_{-1,-1})-(u_{1,%
2}+u_{2,1}+u_{1,-2}+u_{2,-1}+u_{-1,2}+u_{-2,1}+u_{-1,-2}+u_{-2,-1}))+O\left(h^%
{4}\right).}}
O
(
x
)
Big-O
𝑥
{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
u
𝑢
{\displaystyle{\displaystyle u}}
Identifiers
