Symbolic derivation of Runge–Kutta order conditions

An Introduction to Combinatorial Analysis

R. A. Leibler, John Riordan · Mathematical Tables and Other Aids to Computation · 1958 · 1.5K citations

Natural Sciences, Mathematics, Algorithms +11

The numerical analysis of ordinary differential equations

Mathematics and Computers in Simulation · 1987 · 770 citations

Natural Sciences, Mathematics, Physics +14

High Phase-Lag-Order Runge--Kutta and Nyström Pairs

S. N. Papakostas, Ch. Tsitouras · SIAM Journal on Scientific Computing · 1999 · 85 citations

Natural Sciences, Mathematics, Computational Mechanics +13

Cheap Error Estimation for Runge--Kutta Methods

Ch. Tsitouras, S. N. Papakostas · SIAM Journal on Scientific Computing · 1999 · 71 citations · Full text

Computing, Computer Science, Mathematics +14

Optimized explicit Runge–Kutta pair of orders 9(8)

Ch. Tsitouras · Applied Numerical Mathematics · 2001 · 41 citations · Full text

Natural Sciences, Computational Engineering, Mathematics +9