Due to the widespread presence of heat and mass transfer phenomena in industrial
applications, numerous studies have been devoted to the accurate solution of energy …

In engineering practice, the parameters affecting the output of a photovoltaic cell such as its
irradiation intensity, surface temperature, current temperature coefficient, series resistance …

Silicon nanowire field-effect transistors are promising devices used to detect minute
amounts of different biological species. We introduce the theoretical and computational …

In this paper, we employ the multilevel Monte Carlo finite element method to solve the
stochastic Cahn–Hilliard–Cook equation. The Ciarlet–Raviart mixed finite element method is …

In this paper, the one-and two-dimensional stochastic multi-order fractional diffusion-wave
equations are introduced and a collocation procedure based on the shifted Jacobi …

We present general principles for the design and analysis of unbiased Monte Carlo
estimators in a wide range of settings. Our estimators posses finite work-normalized …

We present an adaptive multilevel Monte Carlo algorithm for solving the stochastic drift–
diffusion–Poisson system with non-zero recombination rate. The a-posteriori error is …

Nanowire field-effect sensors have recently been developed for label-free detection of
biomolecules. In this work, we introduce a computational technique based on Bayesian …

The three-dimensional stochastic drift–diffusion–Poisson system is used to model charge
transport through nanoscale devices in a random environment. Applications include …

The main propose of this investigation is to develop an interpolating meshless numerical
procedure for solving the stochastic parabolic interface problems. The present numerical …