4 papers
Collocation Methods for High-Order Well-Balanced Methods for Systems of Balance Laws
Irene Gómez-Bueno, Manuel Jesús Castro DÃaz, 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-Varying Convex Optimization: A Contraction and Equilibrium Tracking Approach
Alexander Davydov, Veronica Centorrino, Anand Gokhale +2
In this article, we provide a novel and broadly-applicable contraction-theoretic approach to continuous-time time-varying convex optimization. For any parameter-dependent contracti…
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…