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Author

Lucas Amoudruz

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Preprint Oct 2026

Discovery of Singularities in Partial Differential Equations Using Adaptive Numerical Discretizations

We compute self-similar singularity profiles of partial differential equations (PDEs) using adaptive numerical discretizations based on optimizing a discrete loss (ODIL). The fields are represented in overlapping local Chebyshev patches joined with a mapped asymptotic patch. After factoring out the leading power laws o...

A. Yang, Lucas Amoudruz, P. Koumoutsakos · 0 citations

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