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explicit midpoint method
a one-step numerical method for solving differential equations
midpoint method
modified Euler method
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Statements
instance of
explicit Runge–Kutta method
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midpoint methods
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defining formula
y
n
+
1
=
y
n
+
h
f
(
t
n
+
h
2
,
y
n
+
h
2
f
(
t
n
,
y
n
)
)
{\displaystyle y_{n+1}=y_{n}+hf\left(t_{n}+{\frac {h}{2}},y_{n}+{\frac {h}{2}}f\left(t_{n},y_{n}\right)\right)}
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has characteristic
order of convergence
of
global error
numeric value
2
relative to
step size
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number of stages
quantity
2
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maintained by WikiProject
WikiProject Mathematics
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Butcher tableau
0
0
0
1
/
2
1
/
2
0
0
1
{\displaystyle {\begin{array}{c|cc}0&0&0\\1/2&1/2&0\\\hline &0&1\\\end{array}}}
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opposite of
implicit midpoint method
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