معرفی
Hadrien Montanelli is a Researcher in applied mathematics at Inria with the IDEFIX team and a Lecturer at École Polytechnique. His work bridges numerical methods, scientific machine learning, and approximation theory, with applications in wave propagation, cell polarization modeling, and quantum computing theory.
His research explores:
- Numerical solutions for stiff PDEs and nonlocal operators
- Deep ReLU networks' ability to overcome dimensionality challenges
- Computer-assisted proofs for PDE existence
- Quantum logic gates and Schrödinger equation implementation
- Pattern formation on spheres with applications in developmental biology
Recent publications focus on SciML (Scientific Machine Learning), nonlocal calculus on spheres, and advanced numerical methods for inverse problems. Collaborations include prominent researchers like Houssem Haddar, Qiang Du, and Stanislav Shvartsman.
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