Ricardo Riaza

Departamento de Matemática Aplicada a las TIC

ETSI Telecomunicación, Universidad Politécnica de Madrid


ricardo.riaza(at)upm.es

Back to main page


Networks, continuous-time methods in numerics, and other topics

Below you can find some papers on other topics within applied mathematics/engineering.


Networks

  • R. Riaza, Twin subgraphs and core-semiperiphery-periphery structures, Complexity, accepted (in press), 2018. Arxiv.

  • R. Riaza, Structure and stability of the equilibrium set in potential-driven flow networks, Journal of Mathematical Analysis and Applications, Vol. 454 (2017) 335-360. Author's copy.

    Continuous-time methods for root-finding and optimization problems

  • R. Riaza, On the local classification of smooth maps induced by Newton's method, Journal of Differential Equations, Vol. 217 (2005) 377-392.

  • R. Riaza and P. J. Zufiria, Discretization of implicit ODEs for singular root-finding problems, Journal of Computational and Applied Mathematics, Vol. 140 (2002) 695-712.

  • R. Riaza and P. J. Zufiria, Adaptive cellular integration of linearly implicit differential equations, Journal of Computational and Applied Mathematics, Vol. 111 (1999) 305-317.

  • R. Riaza and P. J. Zufiria, Weak singularities and the continuous Newton method, Journal of Mathematical Analysis and Applications, Vol. 236 (1999) 438-462.

    Neural networks and applications

  • R. Riaza and P. J. Zufiria, Differential-algebraic equations and singular perturbation methods in recurrent neural learning, Dynamical Systems, Vol. 18 (2003) 89-105.

  • P. J. Zufiria, J. Fraile-Ardanuy, R. Riaza and J. I. Alonso, Neural adaptive control of non-linear plants via a multiple inverse model approach, International Journal of Adaptive Control and Signal Processing, Vol. 13 (1999) 219-239.