2 papers
math.NA2024
Hamiltonian Boundary Value Methods (HBVMs) for functional differential equations with piecewise continuous arguments
Gianmarco Gurioli, Weijie Wang, Xiaoqiang Yan
In this paper, a class of high-order methods to numerically solve Functional Differential Equations with Piecewise Continuous Arguments (FDEPCAs) is discussed. The framework stems…
math.OC2021
Trust-region algorithms: probabilistic complexity and intrinsic noise with applications to subsampling techniques
S. Bellavia, G. Gurioli, B. Morini +1
A trust-region algorithm is presented for finding approximate minimizers of smooth unconstrained functions whose values and derivatives are subject to random noise. It is shown tha…