AIP Conference Proceedings 2116, 450108 (2019); https://doi.org/10.1063/1.5114575 2116, 450108 © 2019 Author(s). A new family of multistage multistep embedded explicit algorithms with improved characteristics Cite as: AIP Conference Proceedings 2116, 450108 (2019); https://doi.org/10.1063/1.5114575 Published Online: 24 July 2019 Ibraheem Alolyan, and T. E. Simos