25 citations · 27 across the 7 of their papers we have counts for
8 papers
Symplectic filtering of Hamiltonian dynamics with moving sensors
Olga Mula, Cecilia Pagliantini, Federico Vismara
While structure-preserving methods for the forward simulation of Hamiltonian systems are well established, the mathematical foundations of their data assimilation and filtering cou…
Iterative thresholding low-rank time integration for high-dimensional problems
Markus Bachmayr, Tianyu Jin, Polina Sachsenmaier +1
This work analyzes a method for time integration of high-dimensional linear Schrödinger-type problems based on hierarchical tensor approximations. In particular, this method provid…
Adaptive hyper-reduction of non-sparse operators: application to parametric particle-based kinetic plasma models
Cecilia Pagliantini, Federico Vismara
This paper proposes an adaptive hyper-reduction method to reduce the computational cost associated with the simulation of parametric particle-based kinetic plasma models, specifica…
Dynamical approximation and sensor placement for filtering problems
Olga Mula, Cecilia Pagliantini, Federico Vismara
We consider the inverse problem of reconstructing an unknown function from a finite set of measurements, under the assumption that is the trajectory of a transport-dominate…
Fully adaptive structure-preserving hyper-reduction of parametric Hamiltonian systems
Cecilia Pagliantini, Federico Vismara
Model order reduction provides low-complexity high-fidelity surrogate models that allow rapid and accurate solutions of parametric differential equations. The development of reduce…
Efficient hyperbolic-parabolic models on multi-dimensional unbounded domains using an extended DG approach
Federico Vismara, Tommaso Benacchio
We introduce an extended discontinuous Galerkin discretization of hyperbolic-parabolic problems on multidimensional semi-infinite domains. Building on previous work on the one-dime…
Gradient-preserving hyper-reduction of nonlinear dynamical systems via discrete empirical interpolation
Cecilia Pagliantini, Federico Vismara
This work proposes a hyper-reduction method for nonlinear parametric dynamical systems characterized by gradient fields such as Hamiltonian systems and gradient flows. The gradient…
A seamless, extended DG approach for advection-diffusion problems on unbounded domains
Federico Vismara, Tommaso Benacchio, Luca Bonaventura
We propose and analyze a seamless extended Discontinuous Galerkin (DG) discretization of advection-diffusion equations on semi-infinite domains. The semi-infinite half line is spli…