conservation laws 1differential inclusion algorithm 1high-order methods 1post-processing limiters 1total variation denoising 1
From the 1 of 3 linked papers with an AI index.
Showing math.NAShow all
2 papers · 1 filter
math.NA2026
Exact Total Variation Minimizers as Non-Oscillatory Limiters in High-Order Methods for Conservation Laws
Gabriel P. Langlois, Jerome Darbon, Rongjie Lai +2
The paper introduces a post‑processing step that applies exact total‑variation denoising, computed via a differential inclusion algorithm, to eliminate spurious oscillations in hig…
math.NA2026
Deep learning methods for inverse problems using connections between proximal operators and Hamilton-Jacobi equations
Oluwatosin Akande, Gabriel P. Langlois, Akwum Onwunta
Inverse problems are important mathematical problems that seek to recover model parameters from noisy data. Since inverse problems are often ill-posed, they require regularization…