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Get the butcher trees through a given order that are not reduced by Butcher’s quadrature or row- or column-simplifying conditions
gives the set of trees through order p that are not reduced by Butcher's quadrature conditions through order p, row-simplifying conditions through order η or column-simplifying conditions through order ξ.
Get the additional trees that are necessary for a fourth-order method, assuming that the quadrature conditions through order 4 and the row and column simplifying assumptions of order 1 hold:
The non-reduced trees for any order can be obtained using ButcherTrees:
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