Angèle Niclas
picture of Lyon

Research

Preprints

[9] A. Niclas, J. Garnier. Automated approach for source location in shallow waters, submitted. Arxiv PDF

Publications

[8] A. Niclas, L. Seppecher. Layer stripping approach to reconstruct shape defects in waveguides using locally resonant frequencies, SIAM Journal of Applied Mathematics, 84(1):75–96, 2024. DOI PDF
[7] É. Bonnetier, A. Niclas, L. Seppecher, G. Vial. The Helmholtz problem in slowly varying waveguides at locally resonant frequencies, Wave Motion, 120:103157, 2023. DOI PDF
[6] É. Bonnetier, A. Niclas, L. Seppecher. Well-posedness of wave scattering in perturbed elastic waveguides and plates ; application to an inverse problem of shape defect detection, Proceedings of the Royal Society A, 479:20220646, 2023. DOI PDF
[5] A. Niclas, L. Seppecher. Reconstruction of smooth shape defects in waveguides using locally resonant frequencies, Inverse Problems, 39(5):055006, 2023. DOI PDF
[4] É. Bonnetier, A. Niclas, L. Seppecher, G. Vial. Small defects reconstruction in waveguides from multifrequency one-side scattering data, Inverse Problems and Imaging, 16(2):417-450, 2022. DOI PDF
[3] A. N. Bishop, P. Del Moral, A. Niclas. A perturbation analysis of stochastic matrix Riccati diffusions, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 56(2):884-916, 2020. DOI PDF
[2] A. N. Bishop, P. Del Moral, A. Niclas. An Introduction to Wishart Matrix Moments, Foundations and Trends in Machine Learning, 11(2):97-218, 2018. DOI PDF
[1] P. Del Moral and A. Niclas. A Taylor expansion of the square root matrix functional, Journal of Mathematical Analysis and Applications 465(1):259–266, 2018. DOI PDF

Proceedings

[i] A. Niclas, É. Bonnetier, L. Seppecher, G. Vial. High sensibility imaging of defects in elastic waveguides using near resonance frequencies, in WAVES Conference, Jul 2022. HAL PDF

PhD thesis

Inverse problems and local resonances in irregular mechanical waveguides, 2022 HAL PDF
Jury Éric Bonnetier (supervisor), Fioralba Cakoni (reviewer), Yves Capdeboscq (reviewer), Camille Carvalho, Sonia Fliss (president), Claire Prada, Éric Soccorsi, Laurent Seppecher (supervisor), Grégory Vial (supervisor).

Talks in national and international conferences

May 2024 Paris-Saclay conference in Analysis and PDE (Zworski's 60th birthday), Orsay (France).
Oct 2023 IEEE UASP Underwater Acoustic Signal Processing Workshop, Exeter, Rhode Island (USA).
Sep 2023 AIP Applied Inverse Problems Conference, Göttingen (Germany).
Sep 2023 ENUMATH European Conference on Numerical Mathematics and Advanced Applications, Lisbonne (Portugal).
Aug 2023 ICIAM International Congress on Industrial and Applied Mathematics, Tokyo (Japon).
Nov 2022 Assises des mathématiques, Maison de l'UNESCO, Paris (France)
Sep 2022 CJCMA Mathematic and applications congress for young researcher, Calais (France)
Jul 2022 WAVES conference, Palaiseau (France)
Jun 2022 CANUM Numerical analysis congress, Évian-les-Bains (France)
May 2022 IPMS Inverse Problems: Modelling and Simulation, Mellieha (Malta)
Mar 2022 SIAM Conference on Imaging Science, Virtual format
Dec 2021 Inverse Days, University of Tampere (Finland)
Oct 2021 CJCMA Applied mathematics congress for young researcher, École Polytechnique (France)
Oct 2020 CANUMJ Numerical analysis congress for young researcher, Virtual format
Jul 2019 AIP Applied Inverse Problems Conference, Grenoble (France)