3 papers
math-ph2026
Identification of optimal history variables and corresponding hereditary laws in linear viscoelasticity
Ignacio Romero, Michael Ortiz
We develop an operator-theoretic formulation of hereditary constitutive models and characterize optimal finite-rank internal-variable approximations in the sense of Kolmogorov -…
math.NA2025
An optimal-transport finite-particle method for driven mass diffusion
Anna Pandolfi, Ignacio Romero, Michael Ortiz
We formulate a finite-particle method of mass transport that accounts for general mixed boundary conditions. The particle method couples a geometrically-exact treatment of advectio…
math-ph2023
The energy-stepping Monte Carlo method: an exactly symmetry-preserving, a Hamiltonian Monte Carlo method with a 100% acceptance ratio
Ignacio Romero, Michael Ortiz
We introduce the energy-stepping Monte Carlo (ESMC) method, a Markov chain Monte Carlo (MCMC) algorithm based on the conventional dynamical interpretation of the proposal stage but…