6 papers
Symplectic Isospectral Runge--Kutta Methods as Lie group methods
Paolo Cifani, Klas Modin, Cecilia Pagliantini +1
We compare three approaches for structure preserving numerical integration of isospectral flows on quadratic Lie algebras. Such flows originate from Hamiltonian dynamics on the cot…
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…
Geometric low-rank approximation of the Zeitlin model of incompressible fluids on the sphere
Cecilia Pagliantini
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-di…
Conformal variational discretisation of infinite dimensional Hamiltonian systems with gradient flow dissipation
Damiano Lombardi, Cecilia Pagliantini
Nonconservative evolution problems describe irreversible processes and dissipative effects in a broad variety of phenomena. Such problems are often characterised by a conservative…
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…