On explicit two-derivative two-step Runge–Kutta methods

Derivation of three-derivative Runge-Kutta methods

(2016) Mukaddes Ökten Turacı et al.   NUMERICAL ALGORITHMS

Implementation of Nordsieck second derivative methods for stiff ODEs

(2015) A. Abdi et al.   APPLIED NUMERICAL MATHEMATICS

Two-derivative Runge–Kutta methods for PDEs using a novel discretization approach

(2014) Angela Y. J. Tsai et al.   NUMERICAL ALGORITHMS

High-Order Multiderivative Time Integrators for Hyperbolic Conservation Laws

(2013) David C. Seal et al.   JOURNAL OF SCIENTIFIC COMPUTING

Second derivative general linear methods

(2013) R. I. Okuonghae et al.   NUMERICAL ALGORITHMS

Exponentially fitted two-step Runge–Kutta methods: Construction and parameter selection

(2012) R. D’Ambrosio et al.   APPLIED MATHEMATICS AND COMPUTATION

Trees and numerical methods for ordinary differential equations

(2009) J. C. Butcher   NUMERICAL ALGORITHMS

On explicit two-derivative Runge-Kutta methods

(2009) Robert P. K. Chan et al.   NUMERICAL ALGORITHMS