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09/02/2023
Multiscale Modeling with Differential Equations
Many physical systems are governed by ordinary or partial differential e...
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07/26/2023
Time multiscale modeling of sorption kinetics I: uniformly accurate schemes for highly oscillatory advection-diffusion equation
In this paper we propose a numerical method to solve a 2D advection-diff...
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06/24/2023
On Convex Data-Driven Inverse Optimal Control for Nonlinear, Non-stationary and Stochastic Systems
This paper is concerned with a finite-horizon inverse control problem, w...
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05/17/2023
The mathematical theory of Hughes' model: a survey of results
We provide an overview of the results on Hughes' model for pedestrian mo...
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01/30/2023
Asymmetry and condition number of an elliptic-parabolic system for biological network formation
We present results of numerical simulations of the tensor-valued ellipti...
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12/02/2022
CT-DQN: Control-Tutored Deep Reinforcement Learning
One of the major challenges in Deep Reinforcement Learning for control i...
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09/17/2022
Comparison of two aspects of a PDE model for biological network formation
We compare the solutions of two systems of partial differential equation...
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08/30/2022
Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws
The aim of this work is to design implicit and semi-implicit high-order ...
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06/06/2022
A finite-difference ghost-point multigrid method for multi-scale modelling of sorption kinetics of a surfactant past an oscillating bubble
We propose a method for the numerical solution of a multiscale model des...
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04/11/2022
External control of a genetic toggle switch via Reinforcement Learning
We investigate the problem of using a learning-based strategy to stabili...
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03/13/2022
A smart electric bike for smart cities
This is a Masters Thesis completed at University College Dublin, Ireland...
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02/05/2022
Multiscale Modeling of Sorption Kinetics
In this paper we propose and validate a multiscale model for the descrip...
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02/03/2022
Anomalous sorption kinetics of self-interacting particles by a spherical trap
In this paper we propose a computational framework for the investigation...
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12/21/2021
Discrete fully probabilistic design: a tool to design control policies from examples
We present a discretized design that expounds an algorithm recently intr...
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09/13/2021
A meshfree arbitrary Lagrangian-Eulerian method for the BGK model of the Boltzmann equation with moving boundaries
In this paper we present a novel technique for the simulation of moving ...
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08/20/2021
Spectral and norm estimates for matrix sequences arising from a finite difference approximation of elliptic operators
When approximating elliptic problems by using specialized approximation ...
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07/19/2021
A local velocity grid conservative semi-Lagrangian schemes for BGK model
Most numerical schemes proposed for solving BGK models for rarefied gas ...
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06/04/2021
High Order Semi-implicit WENO Schemes for All Mach Full Euler System of Gas Dynamics
In this paper, we propose high order semi-implicit schemes for the all M...
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02/25/2021
BGK models for inert mixtures: comparison and applications
Consistent BGK models for inert mixtures are compared, first in their ki...
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02/20/2021
A novel spectral method for the semi-classical Schrödinger equation based on the Gaussian wave-packet transform
In this article, we develop and analyse a new spectral method to solve t...
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12/12/2020
Tutoring Reinforcement Learning via Feedback Control
We introduce a control-tutored reinforcement learning (CTRL) algorithm. ...
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12/04/2020
Conservative semi-Lagrangian schemes for a general consistent BGK model for inert gas mixtures
In this work, we propose a class of high order semi-Lagrangian scheme fo...
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07/26/2020
Conservative semi-Lagrangian schemes for kinetic equations Part I: Reconstruction
In this paper, we propose and analyse a reconstruction technique which e...
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07/26/2020
Conservative semi-Lagrangian schemes for kinetic equations Part II: Applications
In this paper, we present a new class of conservative semi-Lagrangian sc...
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02/29/2020
Convergence estimates of a semi-Lagrangian scheme for the ellipsoidal BGK model for polyatomic molecules
In this paper, we propose a new semi-Lagrangian scheme for the polyatomi...
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01/13/2020
On the synthesis of control policies from noisy example datasets: a probabilistic approach
In this note we consider the problem of synthesizing optimal control pol...
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12/12/2019
Control-Tutored Reinforcement Learning
We introduce a control-tutored reinforcement learning (CTRL) algorithm. ...
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11/26/2019
Control-Tutored Reinforcement Learning: an application to the Herding Problem
In this extended abstract we introduce a novel control-tutored Q-learni...
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11/11/2019