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Heun–Euler method
a one-stage embedded Runge-Kutta method
Heun-Euler method
Heun–Euler
Heun-Euler
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Statements
instance of
embedded Runge-Kutta method
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defining formula
k
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f
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k
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{\displaystyle {\begin{aligned}k_{1}&=f(t_{n},y_{n})\\k_{2}&=f(t_{n}+h,y_{n}+hk_{1})\\y_{n+1}&=y_{n}+h\left({\frac {1}{2}}k_{1}+{\frac {1}{2}}k_{2}\right)\\y_{n+1}^{*}&=y_{n}+f(t_{n},y_{n})\end{aligned}}}
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has characteristic
number of stages
quantity
2
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maintained by WikiProject
WikiProject Mathematics
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Butcher tableau
0
1
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{\displaystyle {\begin{array}{c|cc}0&\\1&1\\\hline &1/2&1/2\\&1&0\end{array}}}
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