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math.NA2024
Numerical approximation of ergodic BSDEs using non linear Feynman-Kac formulas
Emmanuel Gobet, Adrien Richou, Lukasz Szpruch
In this work we study the numerical approximation of a class of ergodic Backward Stochastic Differential Equations. These equations are formulated in an infinite horizon framework…
math.NA2024
Stratified regression Monte-Carlo scheme for semilinear PDEs and BSDEs with large scale parallelization on GPUs
E. Gobet, J. G. López-Salas, P. Turkedjiev +1
In this paper, we design a novel algorithm based on Least-Squares Monte Carlo (LSMC) in order to approximate the solution of discrete time Backward Stochastic Differential Equation…
math.NA2024
Quasi-Regression Monte-Carlo scheme for semi-linear PDEs and BSDEs with large scale parallelization on GPUs
E. Gobet, J. G. López-Salas, C. Vázquez
In this article we design a novel quasi-regression Monte Carlo algorithm in order to approximate the solution of discrete time backward stochastic differential equations (BSDEs), a…