Zobrazeno 1 - 10
of 51
pro vyhledávání: '"PAGLIANTINI, CECILIA"'
Autor:
Pagliantini, Cecilia
We consider the vorticity formulation of the Euler equations describing the flow of a two-dimensional incompressible ideal fluid on the sphere. Zeitlin's model provides a finite-dimensional approximation of the vorticity formulation that preserves th
Externí odkaz:
http://arxiv.org/abs/2412.08182
Nonconservative evolution problems describe irreversible processes and dissipative effects in a broad variety of phenomena. Such problems are often characterised by a conservative part, which can be modelled as a Hamiltonian term, and a nonconservati
Externí odkaz:
http://arxiv.org/abs/2412.06310
The use of model order reduction techniques in combination with ensemble-based methods for estimating the state of systems described by nonlinear partial differential equations has been of great interest in recent years in the data assimilation commu
Externí odkaz:
http://arxiv.org/abs/2404.09907
We consider the inverse problem of reconstructing an unknown function $u$ from a finite set of measurements, under the assumption that $u$ is the trajectory of a transport-dominated problem with unknown input parameters. We propose an algorithm based
Externí odkaz:
http://arxiv.org/abs/2312.12353
Model order reduction provides low-complexity high-fidelity surrogate models that allow rapid and accurate solutions of parametric differential equations. The development of reduced order models for parametric \emph{nonlinear} Hamiltonian systems is
Externí odkaz:
http://arxiv.org/abs/2308.16547
In the process of reproducing the state dynamics of parameter dependent distributed systems, data from physical measurements can be incorporated into the mathematical model to reduce the parameter uncertainty and, consequently, improve the state pred
Externí odkaz:
http://arxiv.org/abs/2210.02279
We propose a spectral method for the 1D-1V Vlasov-Poisson system where the discretization in velocity space is based on asymmetrically-weighted Hermite functions, dynamically adapted via a scaling $\alpha$ and shifting $u$ of the velocity variable. S
Externí odkaz:
http://arxiv.org/abs/2208.14373
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 structure is associated with conservation of invariants or with dissi
Externí odkaz:
http://arxiv.org/abs/2206.01792
High-resolution simulations of particle-based kinetic plasma models typically require a high number of particles and thus often become computationally intractable. This is exacerbated in multi-query simulations, where the problem depends on a set of
Externí odkaz:
http://arxiv.org/abs/2201.05555
Autor:
Pagliantini, Cecilia, Manzini, Gianmarco, Koshkarov, Oleksandr, Delzanno, Gian Luca, Roytershteyn, Vadim
We study the conservation properties of the Hermite-discontinuous Galerkin (Hermite-DG) approximation of the Vlasov-Maxwell equations. In this semi-discrete formulation, the total mass is preserved independently for every plasma species. Further, an
Externí odkaz:
http://arxiv.org/abs/2110.11511