86 citations · 497 across the 75 of their papers we have counts for
76 papers
Stochastic solutions and singular partial differential equations
R. Vilela Mendes
The technique of stochastic solutions, previously used for deterministic equations, is here proposed as a solution method for partial differential equations driven by distribution-…
Long-range connections, real-world networks and rates of diffusion
Tanya Araújo, R. Vilela Mendes
Long range connections play an essential role in dynamical processes on networks, on the processing of information in biological networks, on the structure of social and economical…
Modular quantum computing and quantum-like devices
R. Vilela Mendes
The two essential ideas in this paper are, on the one hand, that a considerable amount of the power of quantum computation may be obtained by adding to a classical computer a few s…
Long-range connections and mixed diffusion in fractional networks
R. Vilela Mendes, Tanya Araújo
Networks with long-range connections obeying a distance-dependent power law of sufficiently small exponent display superdiffusion, Lévy flights and robustness properties very diffe…
Space-times over normed division algebras, revisited
R. Vilela Mendes
Normed division and Clifford algebras have been extensively used in the past as a mathematical framework to accommodate the structures of the standard model and grand unified theor…
A stable semi-implicit algorithm
João P. S. Bizarro, L. Venâncio, R. Vilela Mendes
When the singular values of the evolution operator are all smaller or all greater than one, stable integration algorithms are obtained either by explicit or implicit methods. When…