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A probabilistic approach to spectral analysis of Cauchy-type inverse problems: Convergence and stability analysis
Iulian Cîmpean, Andreea Grecu, Liviu Marin
A comprehensive convergence and stability analysis of some probabilistic numerical methods designed to solve Cauchy-type inverse problems is performed in this study. Such inverse p…
math.NA2025
Error analysis for the deep Kolmogorov method
Iulian Cîmpean, Thang Do, Lukas Gonon +2
The deep Kolmogorov method is a simple and popular deep learning based method for approximating solutions of partial differential equations (PDEs) of the Kolmogorov type. In this w…