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, Vol. 2018 (2018), 2547270. Preprint version (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.
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