A global convergent algorithm for flows in a two-dimensional network

  • Authors:
  • H. B. Ji

  • Affiliations:
  • Department of Automation, University of Science and Technology of China, Hefei, Anhui 230026, China

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2004

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Abstract

In this paper, we will provide an iteration algorithm of global convergence for two-dimensional nonlinear network problems. By avoiding the difficulties of stability of conventional difference methods, our approach is established based on the inner monotone properties of networks, and its global convergence meets the demands of real-time simulation and that of multi-modes of operation. A simulation example is also illustrated for the algorithm.