81 citations · 147 across the 22 of their papers we have counts for
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math.NA2021
Multi-fidelity methods for uncertainty propagation in kinetic equations
Giacomo Dimarco, Liu Liu, Lorenzo Pareschi +1
The construction of efficient methods for uncertainty quantification in kinetic equations represents a challenge due to the high dimensionality of the models: often the computation…
math.NA2021
High order modal Discontinuous Galerkin Implicit-Explicit Runge Kutta and Linear Multistep schemes for the Boltzmann model on general polygonal meshes
Walter Boscheri, Giacomo Dimarco
Deterministic solutions of the Boltzmann equation represent a real challenge due to the enormous computational effort which is required to produce such simulations and often stocha…
math.NA2021
High order finite volume schemes with IMEX time stepping for the Boltzmann model on unstructured meshes
Walter Boscheri, Giacomo Dimarco
In this work, we present a family of time and space high order finite volume schemes for the solution of the full Boltzmann equation. The velocity space is approximated by using a…