16 citations · 45 across the 10 of their papers we have counts for
10 papers
Numerical solution of stochastic master equations using stochastic interacting wave functions
C. M. Mora, J. Fernández, R. Biscay
We develop a new approach for solving stochastic quantum master equations with mixed initial states. First, we obtain that the solution of the jump-diffusion stochastic master equa…
Innovations orthogonalization: a solution to the major pitfalls of EEG/MEG "leakage correction"
Roberto D. Pascual-Marqui, Rolando J. Biscay, Jorge Bosch-Bayard +6
The problem of interest here is the study of brain functional and effective connectivity based on non-invasive EEG-MEG inverse solution time series. These signals generally have lo…
The infinitely many zeros of stochastic coupled oscillators driven by random forces
H. de la Cruz, J. C. Jimenez, R. J. Biscay
In this work, previous results concerning the infinitely many zeros of single stochastic oscillators driven by random forces are extended to the general class of coupled stochastic…
Isolated effective coherence (iCoh): causal information flow excluding indirect paths
RD Pascual-Marqui, RJ Biscay, J Bosch-Bayard +5
A problem of great interest in real world systems, where multiple time series measurements are available, is the estimation of the intra-system causal relations. For instance, elec…
A stable numerical scheme for stochastic differential equations with multiplicative noise
C. M. Mora, H. A. Mardones, J. C. Jimenez +2
We introduce a new approach for designing numerical schemes for stochastic differential equations (SDEs). The approach, which we have called direction and norm decomposition method…
Local Linearization-Runge Kutta Methods: a class of A-stable explicit integrators for dynamical systems
H. de la Cruz, R. J. Biscay, J. C. Jimenez +1
A new approach for the construction of high order A-stable explicit integrators for ordinary differential equations (ODEs) is theoretically studied. Basically, the integrators are…