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In this thesis we explore uncertainty quantification of forward and inverse problems involving differential equations. Differential equations are widely employed for modeling natural and social phenomena, with applications in engineering, chemistry, meteor ...
Path integrals play a crucial role in describing the dynamics of physical systems subject to classical or quantum noise. In fact, when correctly normalized, they express the probability of transition between two states of the system. In this work, we show ...
The homotopy continuation method has been widely used to compute multiple solutions of nonlinear differential equations, but the computational cost grows exponentially based on the traditional finite difference and finite element discretizations. In this w ...
We introduce the "continuized" Nesterov acceleration, a close variant of Nesterov acceleration whose variables are indexed by a continuous time parameter. The two variables continuously mix following a linear ordinary differential equation and take gradien ...
This article proposes a dynamical system modeling approach for the analysis of longitudinal data of self-regulated homeostatic systems experiencing multiple excitations. It focuses on the evolution of a signal (e.g., heart rate) before, during, and after e ...
Meeting the growing food demand with minimum impact on the environment is a major challenge to face for ensuring a more sustainable food production. To tackle this problem, in this article we present a novel systematic method for agriculture planning that ...
In this work, we construct simple models in terms of differential equations for the dynamics of pest populations and their management using biological pest control. For the first model used, the effect of the biological control is modelled by a function of ...
We show that the finite time blow up solutions for the co-rotational Wave Maps problem constructed in [7,15] are stable under suitably small perturbations within the co-rotational class, provided the scaling parameter λ(t)=t−1−ν is sufficiently close to ...
The present thesis aimed at characterizing the extent of the pesticide contamination and resulting impacts on the environment and the human health in market garden-ing areas in Burkina Faso. Analytical procedures were developed and validated for multi-clas ...
The present study assessed the suitability of using QuEChERS procedure for the simultaneous deter- mination and quantification of 37 multi-class pesticides in human hair. Matrix co-eluted material had a large influence on instrumental response sensitivity. ...
