Problem #11: generation of Runge-Kutta equations

  • Authors:
  • Richard D. Jenks

  • Affiliations:
  • IBM Thomas J. Watson Research Center, New York

  • Venue:
  • ACM SIGSAM Bulletin
  • Year:
  • 1976

Quantified Score

Hi-index 0.00

Visualization

Abstract

Generate a set of equations for an explicit k-th order, m stage, Runge-Kutta method for integrating an autonomous system of ordinary differential equations, k and m as large as possible. The number of conditions and variables for various k and m are given in Table 1. Tabulate the costs C(m,k).