Cash-Karp method 2011-05-26 http://identifiers.org/doi/10.1145/79505.79507 AZ An family of explicit Runge-Kutta formulas, which are very efficient for problems with smooth solution as well as problems having rapidly varying solutions. Each member of this family consists of a fifty-order formula that contains embedded formulas of all orders 1 through 4. By computing solutions at several different orders, it is possible to detect sharp fronts or discontinuities before all the function evaluations defining the full Runge-Kutta step have been computed. Cain GSL embedded Runge-Kutta 5(4) method