Concept
Mathematical problem
Related publications (34)
Seeking the new, learning from the unexpected: Computational models of surprise and novelty in the brain
Human babies have a natural desire to interact with new toys and objects, through which they learn how the world around them works, e.g., that glass shatters when dropped, but a rubber ball does not. When their predictions are proven incorrect, such as whe ...
EPFL2024Mathematical and numerical models for the cardiac electromechanical function
Alfio Quarteroni, Francesco Regazzoni
This paper deals with the mathematical model that describes the function of the human heart. More specifically, it addresses the equations that express the electromechanical process, that is the mechanical deformation (contraction and relaxation) of the he ...
EUROPEAN MATHEMATICAL SOC-EMS2021Soil-structure interaction of surface footings
Lyesse Laloui, Cristiano Garbellini
Limit-state analysis of soil-structure interacting systems is a classical problem in theoretical and applied soil mechanics. Usually, the capacities of both components are evaluated separately. However, it is well known that soil-structure interaction play ...
2021Investigating the Role of Educational Robotics in Formal Mathematics Education: The Case of Geometry for 15-Year-Old Students
Francesco Mondada, Frédérique Michèle Chessel-Lazzarotto, Jérôme Guillaume Brender, Barbara Bruno, Laila Abdelsalam El-Hamamsy
Research has shown that Educational Robotics (ER) enhances student performance, interest, engagement and collaboration. However, until now, the adoption of robotics in formal education has remained relatively scarce. Among other causes, this is due to the ...
Springer, Cham2021Support and approximation properties of Hermite splines
Michaël Unser, Julien René Pierre Fageot, Virginie Sophie Uhlmann, Shayan Aziznejad
In this paper, we formally investigate two mathematical aspects of Hermite splines that are relevant to practical applications. We first demonstrate that Hermite splines are maximally localized, in the sense that the size of their support is minimal among ...
2020MATHICSE Technical Report: Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval
Fabio Nobile, Yoshihito Kazashi
An existence result is presented for the dynamical low rank (DLR) approximation for random semi-linear evolutionary equations. The DLR solution approximates the true solution at each time instant by a linear combination of products of deterministic and sto ...
MATHICSE2020Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval
Fabio Nobile, Yoshihito Kazashi
An existence result is presented for the dynamical low rank (DLR) approximation for random semi-linear evolutionary equations. The DLR solution approximates the true solution at each time instant by a linear combination of products of deterministic and sto ...
2020Application of Material Point Method
The main goal of this project is by using MPM which is in continuum formulation to reproduce the wear mechanism in larger scale simulation which is performed in atomistic scale by Professor Jean-François Molinari. Then, having experience and getting inform ...
2019