97 citations · 403 across the 15 of their papers we have counts for
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Conservative Time Discretization: A Comparative Study
Marcelo Forets, Christian Schilling
We present the first review of methods to overapproximate the set of reachable states of linear time-invariant systems subject to uncertain initial states and input signals for sho…
Combining Set Propagation with Finite Element Methods for Time Integration in Transient Solid Mechanics Problems
Marcelo Forets, Daniel Freire Caporale, Jorge M. Pérez Zerpa
The Finite Element Method (FEM) is the gold standard for spatial discretization in numerical simulations for a wide spectrum of real-world engineering problems. Prototypical areas…
Explicit Error Bounds for Carleman Linearization
Marcelo Forets, Amaury Pouly
We revisit the method of Carleman linearization for systems of ordinary differential equations with polynomial right-hand sides. This transformation provides an approximate lineari…