# Wikidata:Property proposal/Butcher tableau

### Butcher tableau

Originally proposed at Wikidata:Property proposal/Natural science

Description a table containing the coefficients of a Runge-Kutta method Runge–Kutta method (Q725944) Mathematical expression backward Euler method (Q2736820) → ${\displaystyle {\begin{array}{l|l}1&1\\\hline &1\end{array}}}$ explicit Runge–Kutta method (Q51846055) → ${\displaystyle {\begin{array}{r|lllll}0&&&&&\\c_{2}&a_{21}&&&\\c_{3}&a_{31}&a_{32}&&\\\vdots &\vdots &&\ddots &\\c_{s}&a_{s1}&a_{s2}&\cdots &a_{s,s-1}\\\hline &b_{1}&b_{2}&\cdots &b_{s-1}&b_{s}\end{array}}}$ Ralston's method (Q51879118) → ${\displaystyle {\begin{array}{l|l}0&\\2/3&2/3\\\hline &1/4\end{array}}}$ add property to the existing Runge-Kutta method items. defining formula (P2534)

#### Motivation

In mathematics, the Runge-Kutta methods are an important class of numerical methods for solving differential equations. Each method is defined by a set of coefficients that are arranged into a table called the Butcher tableau. Creating this property would allow each method to be tied to its tableau. Currently, on Wikipedia, the Butcher tableau for each Runge-Kutta method cannot be found in a consistent place on each page--sometimes not all. Adding a property would facilitate the creation of an infobox.

Making this property distinct from defining formula (P2534) is desirable because each Runge-Kutta method can also be written out as a set of equations that should be the defining formula (P2534) (cf. Euler method (Q868454)) The-erinaceous-one (talk) 06:36, 25 July 2020 (UTC)

See also discussion here --★ → Airon 90 08:06, 26 July 2020 (UTC)

#### Discussion

@The-erinaceous-one, Airon90, ArthurPSmith:: Butcher tableau (P8558)   Done. Good contributions, Ederporto (talk) 04:36, 25 August 2020 (UTC)