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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-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…