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Athena Picarelli
Athena Picarelli
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A patchy dynamic programming scheme for a class of Hamilton--Jacobi--Bellman equations
S Cacace, E Cristiani, M Falcone, A Picarelli
SIAM Journal on Scientific Computing 34 (5), A2625-A2649, 2012
662012
Deep xva solver: A neural network–based counterparty credit risk management framework
A Gnoatto, A Picarelli, C Reisinger
SIAM Journal on Financial Mathematics 14 (1), 314-352, 2023
482023
Dynamic programming and error estimates for stochastic control problems with maximum cost
O Bokanowski, A Picarelli, H Zidani
Applied Mathematics & Optimization 71, 125-163, 2015
332015
State-constrained stochastic optimal control problems via reachability approach
O Bokanowski, A Picarelli, H Zidani
SIAM Journal on Control and Optimization 54 (5), 2568-2593, 2016
262016
High-order filtered schemes for time-dependent second order HJB equations
O Bokanowski, A Picarelli, C Reisinger
ESAIM: Mathematical Modelling and Numerical Analysis 52 (1), 69-97, 2018
222018
Probabilistic error analysis for some approximation schemes to optimal control problems
A Picarelli, C Reisinger
Systems & Control Letters 137, 104619, 2020
192020
Improved order 1/4 convergence for piecewise constant policy approximation of stochastic control problems
ER Jakobsen, A Picarelli, C Reisinger
192019
A deep solver for BSDEs with jumps
A Gnoatto, M Patacca, A Picarelli
arXiv preprint arXiv:2211.04349, 2022
132022
Hamilton–Jacobi–Bellman Equations
A Festa, R Guglielmi, C Hermosilla, A Picarelli, S Sahu, A Sassi, FJ Silva
Optimal control: novel directions and applications, 127-261, 2017
122017
Optimal management of pumped hydroelectric production with state constrained optimal control
A Picarelli, T Vargiolu
Journal of Economic Dynamics and Control 126, 103940, 2021
112021
Zubov’s method for controlled diffusions with state constraints
L Grüne, A Picarelli
Nonlinear Differential Equations and Applications NoDEA 22, 1765-1799, 2015
102015
Some regularity and convergence results for parabolic Hamilton-Jacobi-Bellman equations in bounded domains
A Picarelli, C Reisinger, JR Arto
Journal of Differential Equations 268 (12), 7843-7876, 2020
9*2020
Hamilton-Jacobi-Bellman Equations: Numerical Methods and Applications in Optimal Control
M Akian, J Blechschmidt, ND Botkin, M Jensen, A Kröner, A Picarelli, ...
Walter de Gruyter GmbH & Co KG, 2018
92018
Stability and convergence of second order backward differentiation schemes for parabolic Hamilton–Jacobi–Bellman equations
O Bokanowski, A Picarelli, C Reisinger
Numerische Mathematik 148 (1), 187-222, 2021
72021
Infinite horizon stochastic optimal control problems with running maximum cost
A Kroner, A Picarelli, H Zidani
SIAM Journal on Control and Optimization 56 (5), 3296-3319, 2018
72018
Duality-based a posteriori error estimates for some approximation schemes for optimal investment problems
A Picarelli, C Reisinger
Computers & Mathematics with Applications 79 (7), 2099-2118, 2020
52020
On some stochastic control problems with state constraints
A Picarelli
Ecole polytechnique X, 2015
42015
Boundary mesh refinement for semi-Lagrangian schemes
A Picarelli, C Reisinger, JR Arto
Hamilton-Jacobi-Bellman Equations: Numerical Methods and Applications in …, 2018
32018
A level-set approach for stochastic optimal control problems under controlled-loss constraints
G Bouveret, A Picarelli
Journal of Optimization Theory and Applications 186 (3), 779-805, 2020
22020
On the set of robust sustainable thresholds
P Gajardo, C Hermosilla, A Picarelli
Natural Resource Modeling 34 (4), e12334, 2021
12021
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