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math.PR2023
Asymptotically unbiased approximation of the QSD of diffusion processes with a decreasing time step Euler scheme
Fabien Panloup, Julien Reygner
We build and study a recursive algorithm based on the occupation measure of an Euler scheme with decreasing step for the numerical approximation of the quasistationary distribution…
cs.CE2023
Probabilistic formulation of Miner's rule and application to structural fatigue
Francois-Baptiste Cartiaux, Alain Ehrlacher, Frederic Legoll +2
The standard stress-based approach to fatigue is based on the use of S-N curves. They are obtained by applying cyclic loading of constant amplitude to identical and standardise…