Semi-implicit ODE solver for matrix Riccati equation

  title={Semi-implicit ODE solver for matrix Riccati equation},
  author={D. N. Butusov and Timur I. Karimov and V. Y. Ostrovskii},
  journal={2016 IEEE NW Russia Young Researchers in Electrical and Electronic Engineering Conference (EIConRusNW)},
In this paper we consider the numerical solution of matrix Riccati equation with the different ODE solvers. A comparison of following extrapolation methods is undertaken: Gragg-Bulirsch-Stoer's (GBS) explicit midpoint rule, implicit midpoint rule, and new semi-implicit D-methods. The study showed that D-methods, being a trade-off between explicit and implicit methods, can be an effective solution for computer simulation of matrix Riccati equation. 
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