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math.NA2025
An Adaptive Sampling Algorithm for Level-set Approximation
Matteo Croci, Abdul-Lateef Haji-Ali, Ian C. J. Powell
We propose a new numerical scheme for approximating level-sets of Lipschitz multivariate functions which is robust to stochastic noise. The algorithm's main feature is an adaptive…
math.NA2024
Mixed-precision finite element kernels and assembly: Rounding error analysis and hardware acceleration
M. Croci, G. N. Wells
In this paper we develop the first fine-grained rounding error analysis of finite element (FE) cell kernels and assembly. The theory includes mixed-precision implementations and ac…
math.NA2022
Exploiting Kronecker structure in exponential integrators: fast approximation of the action of -functions of matrices via quadrature
Matteo Croci, Judit Muñoz-Matute
In this article, we propose an algorithm for approximating the action of functions of matrices against vectors, which is a key operation in exponential time integrators. In par…