6 papers
A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise
Thoa Thieu, Liet Vo
In this paper, we propose and analyze a splitting mixed finite element method for a stochastic Keller--Segel system with logistic growth driven by multiplicative noise. By introduc…
Diffusion approximations for interacting stochastic systems with reflection and control
Thoa Thieu, Roderick Melnik
We study diffusion approximations for a class of interacting stochastic systems with reflection and control. Motivated by interacting stochastic dynamics subject to feedback mechan…
Finite element approximations of the stochastic Benjamin-Bona-Mahony equation with multiplicative noise
Hung D. Nguyen, Thoa Thieu, Liet Vo
This paper is devoted to the numerical analysis of a fully discrete finite element approximation for the stochastic Benjamin-Bona-Mahony equation driven by multiplicative noise. We…
A Stochastic Nonlinear Dynamical System for Smoothing Noisy Eye Gaze Data
Thoa Thieu, Roderick Melnik
In this study, we address the challenges associated with accurately determining gaze location on a screen, which is often compromised by noise from factors such as eye tracker limi…
Nonlinear Dynamical Systems for Automatic Face Annotation in Head Tracking and Pose Estimation
Thoa Thieu, Roderick Melnik
Facial landmark tracking plays a vital role in applications such as facial recognition, expression analysis, and medical diagnostics. In this paper, we consider the performance of…
Spike-timing-dependent plasticity and random inputs shape interspike interval regularity of model STN neurons
Thoa Thieu, Roderick Melnik
Neuronal oscillations are closely related to the symptoms of Parkinson's disease (PD). In this study, we explore how random fluctuations (or "stochastic inputs") affect these oscil…