@article{45785,
  abstract     = {{In this paper, we implement the multidomain compact finite difference method to numerically study high dimensional chaos by considering the nine-dimensional Lorenz system. Most of the existing numerical methods converge slowly for this kind of problems and this results in inaccurate approximations. Though highly accurate, the compact finite difference method becomes less accurate for problems characterized by chaotic solutions, even with an increase in the number of grid points. As a result, in this work, we adopt the multidomain approach. This approach remarkably improves the results as well as the efficiency of the method.}},
  author       = {{Kouagou, N.J. and Dlamini, P.G. and Simelane, S.M.}},
  issn         = {{1110-0168}},
  journal      = {{Alexandria Engineering Journal}},
  keywords     = {{Multidomain, Compact finite difference, 9D Lorenz system}},
  number       = {{4}},
  pages        = {{2617--2625}},
  title        = {{{On the multi-domain compact finite difference relaxation method for high dimensional chaos: The nine-dimensional Lorenz system}}},
  doi          = {{https://doi.org/10.1016/j.aej.2020.04.025}},
  volume       = {{59}},
  year         = {{2020}},
}

@inproceedings{17667,
  abstract     = {{Resolving distributed attacks benefits from collaboration between networks. We present three approaches for the same multi-domain defensive action that can be applied in such an alliance: 1) Counteract Everywhere, 2) Minimize Countermeasures, and 3) Minimize Propagation. First, we provide a formula to compute efficiency of a defense; then we use this formula to compute the efficiency of the approaches under various circumstances. Finally, we discuss how task execution order and timing influence defense efficiency. Our results show that the Minimize Propagation approach is the most efficient method when defending against the chosen attack.}},
  author       = {{Koning, Ralph and Polevoy, Gleb and Meijer, Lydia and de Laat, Cees and Grosso, Paola}},
  booktitle    = {{2019 6th IEEE International Conference on Cyber Security and Cloud Computing (CSCloud)/ 2019 5th IEEE International Conference on Edge Computing and Scalable Cloud (EdgeCom)}},
  issn         = {{null}},
  keywords     = {{computer network security, multinetwork environments, multidomain defensive action, task execution order, timing influence defense efficiency, distributed attacks, collaborative security defence approach, minimize propagation approach, minimize countermeasure approach, counteract everywhere approach, Conferences, Cloud computing, Computer crime, Edge computing, Security, Defense Approaches, Multi-Domain Defense, Collaborative Defense, Defense Algorithms, Computer Networks}},
  pages        = {{113--123}},
  title        = {{{Approaches for Collaborative Security Defences in Multi Network Environments}}},
  doi          = {{10.1109/CSCloud/EdgeCom.2019.000-9}},
  year         = {{2019}},
}