277 citations · 1.6k across the 89 of their papers we have counts for
95 papers
Deterministic and stochastic particle methods for the Fokker-Planck equation in S--formulation with application to point set registration
Klaas Willems, Angelo Iollo, Giovanni Russo +1
We present two particle methods for point set registration in bounded domains based on the Fokker-Planck equation. The first method relies on a moving least squares discretization…
Collocation Methods for High-Order Well-Balanced Methods for Systems of Balance Laws
Irene Gómez-Bueno, Manuel Jesús Castro Díaz, Carlos Parés +1
In some previous works, two of the authors introduced a technique to design high-order numerical methods for one-dimensional balance laws that preserve all their stationary solutio…
Approximate Taylor methods for ODEs
Antonio Baeza, Sebastiano Boscarino, Pep Mulet +2
A new method for the numerical solution of ODEs is presented. This approach is based on an approximate formulation of the Taylor methods that has a much easier implementation than…
Time multiscale modeling of sorption kinetics I: uniformly accurate schemes for highly oscillatory advection-diffusion equation
Clarissa Astuto, Mohammed Lemou, Giovanni Russo
In this paper we propose a numerical method to solve a 2D advection-diffusion equation, in the highly oscillatory regime. We use an efficient and robust integrator which leads to a…
A pair-based approximation for simplicial contagion
Federico Malizia, Luca Gallo, Mattia Frasca +3
Higher-order interactions play an important role in complex contagion processes. Mean-field approximations have been used to characterize the onset of spreading in the presence of…
An almost fail-safe a-posteriori limited high-order CAT scheme
E. Macca, R. Loubere, C. Pares +1
In this paper we blend the high order Compact Approximate Taylor (CAT) numerical schemes with an a-posteriori Multi-dimensional Optimal Order Detection (MOOD) paradigm to solve hyp…