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Computer simulation of the stochastic transport equation
(EMAp - Escola de Matemática Aplicada, 2015)
In this article the numerical approximation of the stochastic transport equation is considered. We propose a new computational scheme for the effective simulation of the solutions of this equation. Results on the convergence ...
Swarm control designs applied to a non-ideal load transportation system
(2010-07-14)
In this paper, a load transport system in platforms is considered. It is a transport device and is modelled as an inverted pendulum built on a car driven by a DC motor. The motion equations were obtained by Lagrange's ...
Swarm control designs applied to a non-ideal load transportation system
(2010-07-14)
In this paper, a load transport system in platforms is considered. It is a transport device and is modelled as an inverted pendulum built on a car driven by a DC motor. The motion equations were obtained by Lagrange's ...
A Numerical method for the semilinear stochastic transport equation
(EMAp - Escola de Matemática Aplicada, 2015)
We propose a new numerical method for the computer simulation of the semi-linear transport equation. Based on the stochastic characteristic method and the Local Linearization technique, we construct an effi cient and stable ...
Sensitivity equations for measure-valued solutions to transport equations
(American Institute of Mathematical Sciences, 2020-01)
We consider the following transport equation in the space of bounded, nonnegative Radon measures M+(Rd): θtμt + θx(v(x)μt) = 0: We study the sensitivity of the solution μt with respect to a perturbation in the vector field, ...
Irradiance transport equation from geometrical optics considerationsIrradiance transport equation from geometrical optics considerations
(Revista Mexicana de Física, 2009)
Mathematical modeling for 2D light-sheet fluorescence microscopy image reconstruction
(IOP Publishing, 2020)
We study an inverse problem for light sheet fluorescence microscopy (LSFM), where the density of fluorescent molecules needs to be reconstructed. Our first step is to present a mathematical model to describe the measurements ...