Also on Google Scholar and ORCID. († = senior / corresponding author)
Published / accepted
- M. Jayadharan, N. M. Mangan, et al., “SODAs: Sparse Optimization for Discovery of Differential-Algebraic Systems from Data,” Proceedings of the Royal Society A, 2026. DOI: 10.1098/rspa.2025.0201
- M. Jayadharan, I. Yotov, “Multiscale mortar mixed finite element methods for the Biot system of poroelasticity,” Computer Methods in Applied Mechanics and Engineering, Vol. 435, Art. 117597, 2025.
- M. Jayadharan, M. Kern, M. Vohralík, I. Yotov, “A space-time multiscale mortar mixed finite element method for parabolic equations,” SIAM Journal on Numerical Analysis, 2023.
- M. Jayadharan, E. Khattatov, I. Yotov, “Domain decomposition and partitioning methods for mixed finite element discretizations of the Biot system of poroelasticity,” Computational Geosciences, 25, 1919–1938, 2021. arXiv:2010.15353
Under review
- Y. Feng, N. M. Mangan, M. Jayadharan†, “Ill-conditioning in dictionary-based dynamic-equation learning: A systems biology case study,” under review at SIAM Journal on Life Sciences, 2026.
In preparation
- H. Chen, N. M. Mangan, M. Jayadharan†, “Improving Extrapolation in Neural ODEs via Monomial Augmentation and Symbolic Structure Recovery,” 2026.
- M. Jayadharan, N. M. Mangan, “Stabilizing Sparse Model Identification through Truly Orthogonal Candidate Libraries,” 2026.
- M. Jayadharan, N. M. Mangan, “A Multi-Shooting Framework for Sparse Model Discovery with Guess Propagation,” 2026.
- M. Gumman, M. Jayadharan, I. Yotov, “Domain decomposition methods for the Stokes–Biot model of fluid–poroelastic structure interaction,” 2026.
- R. He, M. Jayadharan†, N. M. Mangan, “Benchmarking Sparse Optimization Methods for Equation Discovery,” 2026.
Dissertation
M. Jayadharan, Domain Decomposition and Time-Splitting Methods for the Biot System of Poroelasticity, PhD dissertation, University of Pittsburgh, 2021.
Selected talks
- From Data to Differential Equations, Indian Institute of Space Science and Technology, invited, Aug 2025
- SODAs for Discovering DAEs, SIAM Annual Meeting (AN25), invited, Jul 2025
- On discovery of DAEs, SIAM Conference on Mathematics of Data Science, invited, Oct 2024
- On numerical methods for discovering differential equations, SIAM Annual Meeting (AN24), Jul 2024 (also organized the minisymposium on numerical methods for sparse optimization)
- Domain decomposition and partitioning methods for mixed FEM, SIAM Conference on Mathematical & Computational Issues in the Geosciences, Milan, Jun 2021