Samir Karam

Github: SamirVK

I am a PhD student in the department of Mathematics and Statistics at Concordia University under the supervision of Simone Brugiapaglia and Galia Dafni. I have worked extensively in the field of numerical solvers for Partial Differential Equations (PDEs) and was most recently involved in a project that involved using neural networks and spectral collocation methods to solve a class of reaction-diffusion equations in high-dimensions.

Research Interests

• Numerical solvers for PDEs
• High-dimensional function approximation
• Scientific machine learning
• Physics-informed deep learning

Publications

• Physics-Informed Deep Learning and Compressive Collocation for High-Dimensional Diffusion-Reaction Equations: Practical Existence Theory and Numerics. Brugiapaglia, S., Dexter, N., Karam, S., Wang, W. Journal of Machine Learning Research, 2025. — link
• Physics-Informed Neural Networks and Classical Methods for Solving Ordinary and Partial Differential Equations. Karam, S., Supervised by: Brugiapaglia, S., Wang, W., Honour's Project Report, 2022 (Unpublished). — link

Conferences

• IVADO Uncertainty in AI Thematic Semester, Uncertainty in AI, Montréal, Canada, 2026 (presented a poster)
• Canadian Mathematical Society Summer Meeting, Saskatoon, Canada, 2024 (attended as speaker)

Teaching Experience

• MATH 204 — Vectors and Matrices, Mathematics and Statistics, Concordia University, 2024 (Instructor)
• MATH 364 — Analysis I, Mathematics and Statistics, Concordia University, 2024 (TA)
• MATH 251 — Linear Algebra I, Mathematics and Statistics, Concordia University, 2024 (TA)
• MATH 204 — Vectors and Matrices, Mathematics and Statistics, Concordia University, 2024 (TA)
• MAST 387 — Data Science Lab, Concordia University, 2024 (TA)
• MATH 203 — Differential and Integral Calculus (Cal I), Concordia University, 2023 (TA)
• MATH 205 — Differential and Integral Calculus (Cal II), Mathematics and Statistics, Concordia University, 2023 (Instructor)
• STAT 450 — Mathematical Statistics, Mathematics and Statistics, Concordia University, 2022 (TA)
• MATH 205 — Differential and Integral Calculus (Cal II), Mathematics and Statistics, Concordia University, 2022 (TA)

Contact

You can reach me at: samir (dot) karam (at) mail (dot) concordia (dot) ca