We propose some new additive Runge-Kutta methods of orders ranging from 2 to 4 that may be used for solving some nonlinear system of ODEs, especially for the temporal discretization of some nonlinear systems of PDEs with constraints. Only linear ODEs or PDEs need to be solved at each time step with these new methods. © 2005 Elsevier B.V. All rights reserved.
Liu, H., & Zou, J. (2006). Some new additive Runge-Kutta methods and their applications. In Journal of Computational and Applied Mathematics (Vol. 190, pp. 74–98). https://doi.org/10.1016/j.cam.2005.02.020