Testwiki:Property proposal/Butcher tableau

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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 Template:P is desirable because each Runge-Kutta method can also be written out as a set of equations that should be the Template:P (cf. Template:Q) The-erinaceous-one (talk) 06:36, 25 July 2020 (UTC)

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

Discussion

• Template:O There is no need to create a too specific property, although Butcher tableau could be considered as a Wikidata-ically "identifier". Template:P IMHO suffices. The problem was that adding tables in LaTeX on Wikidata is not easy, not the creation of a new property. One could already either insert on Wikidata the entire Butcher tableau as formula with Template:P Template:Q as qualifier or insert on Wikidata the matrix A and vectors b and c with Template:P Template:Q, Template:Q, Template:Q respectively as qualifier --★ → Airon 90 08:06, 26 July 2020 (UTC)
  • Template:Ping One problem with Template:P is that it has Template:Q. If we want to include the Butcher table and the equations in the form $y_{n+1}=y_n+h\sum _{i=1}^s{b}_i{k}_i$ then we would violate the constraint. This problem becomes more pronounced if we were to use Template:Q, Template:Q, Template:Q. That being said, I think it is worthwhile to somehow include Template:Q, Template:Q, Template:Q because I might, for example, want to compare all the b-vectors for various Runga-Kutta methods. The-erinaceous-one (talk) 22:31, 27 July 2020 (UTC)
• Template:S I don't think Template:P is correct, the tableau does not "define" the method, it specifies coefficients for it, but the method itself is an iterative transformation. ArthurPSmith (talk) 14:51, 27 July 2020 (UTC)
  • Though I'm wondering, how many items in Wikidata could this possibly apply to? ArthurPSmith (talk) 18:04, 28 July 2020 (UTC)
  • Template:Ping The current number of Runge-Kutta methods in Wikidata is five, or so, but the number of Runge-Kutta methods listed on Wikipedia[1]. includes over thirty methods. A quick search finds that there are RK methods not included in Wikipedia's list[2].
• Template:S I would like have this property created so that I can start importing Runge-Kutta methods from [3] into Wikidata. Without the proposed Butcher tableau property, adding meaningful distinguishing information to each method items is difficult. Template:Unsigned2 (proposer).

Template:Ping: Template:P Template:Done. Good contributions, Ederporto (talk) 04:36, 25 August 2020 (UTC)