3 papers
stat.CO2026
Prob-GParareal: A Probabilistic Numerical Parallel-in-Time Solver for Differential Equations
Guglielmo Gattiglio, Lyudmila Grigoryeva, Massimiliano Tamborrino
We introduce Prob-GParareal, a probabilistic extension of the GParareal algorithm designed to provide uncertainty quantification for the Parallel-in-Time (PinT) solution of (ordina…
stat.CO2025
Nearest Neighbors GParareal: Improving Scalability of Gaussian Processes for Parallel-in-Time Solvers
Guglielmo Gattiglio, Lyudmila Grigoryeva, Massimiliano Tamborrino
With the advent of supercomputers, multi-processor environments and parallel-in-time (PinT) algorithms offer ways to solve initial value problems for ordinary and partial different…
stat.CO2024
RandNet-Parareal: a time-parallel PDE solver using Random Neural Networks
Guglielmo Gattiglio, Lyudmila Grigoryeva, Massimiliano Tamborrino
Parallel-in-time (PinT) techniques have been proposed to solve systems of time-dependent differential equations by parallelizing the temporal domain. Among them, Parareal computes…