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Daily Overview |
| Session | |
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RASE1: Recent Advances in Stochastic Equations: Regularity, Numerical analysis, and Dynamical Behavior Location: L602 Session Chair: Giacomo Lucertini | |
| Presentation 1 | |
Approximation of SDEs with distributional coefficients and Brownian noise University of Turin, Italy A classical weak solution of an SDE can be described equivalently through its martingale problem. This viewpoint is especially useful when the drift is too singular to be evaluated pointwise. The talk concerns the formal equation The second part concerns numerical approximation. The drift is first regularised, for instance using the heat semigroup and deterministic or randomised Euler schemes are then applied to the regularised equation. Combining stability with numerical error estimates gives weak convergence rates in any dimension, while in dimension one one also obtains strong rates. | |



