Misha Stepanov | publications | Zenodo (2025)
M. Stepanov, explicit 15‑stage Runge–Kutta method of order 10, Zenodo (2025).
The format is 15 numbers for the nodes column vector c, 15 numbers for the weights row vector b, and 1 + 2 + 3 + ... + 14 = 105 numbers for below the diagonal part of the coefficients matrix A, row by row. Each number is represented by a row in the file that contains 9 integers ni, 1 ≤ i ≤ 9, with its value being (n1 + n2*sqrt(3) + n3*sqrt(7) + n4*sqrt(21) + n5*α + n6*β + n7*sqrt(7)*α + n8*sqrt(7)*β) / n9, where α = sqrt((7 + 2*sqrt(7)) / 21) and β = sqrt((7 - 2*sqrt(7)) / 21).