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(Q51846190)
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English
Butcher tableau
table containing the coefficients of Runge-Kutta method
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Statements
subclass of
table
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named after
John C. Butcher
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depicts
Runge–Kutta method
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defining formula
c
A
b
T
=
c
1
a
11
a
12
…
a
1
s
c
2
a
21
a
22
…
a
2
s
⋮
⋮
⋮
⋱
⋮
c
s
a
s
1
a
s
2
…
a
s
s
b
1
b
2
…
b
s
b
1
∗
b
2
∗
…
b
s
∗
{\displaystyle {\begin{array}{c|c}\mathbf {c} &A\\\hline &\mathbf {b^{T}} \\\end{array}}={\begin{array}{c|cccc}c_{1}&a_{11}&a_{12}&\dots &a_{1s}\\c_{2}&a_{21}&a_{22}&\dots &a_{2s}\\\vdots &\vdots &\vdots &\ddots &\vdots \\c_{s}&a_{s1}&a_{s2}&\dots &a_{ss}\\\hline &b_{1}&b_{2}&\dots &b_{s}\\&b_{1}^{*}&b_{2}^{*}&\dots &b_{s}^{*}\\\end{array}}}
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has part
Runge-Kutta matrix
in defining formula
A
{\displaystyle A}
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Runge-Kutta weights vector
in defining formula
b
T
{\displaystyle \mathbf {b^{T}} }
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Runge-Kutta nodes vector
in defining formula
c
{\displaystyle \mathbf {c} }
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Wikidata property
Butcher tableau
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