01 / RESEARCH
Study the mathematical structure of deep learning, from initialization to efficient models.
DEEP-MATH LAB / KENTECHHyunju Kim
Mathematics.
For AI and energy.
A mathematical foundation and research hub for AI and energy at KENTECH.
RESEARCH CONNECTIONS
- AI
- Hydrogen
- Batteries
- Power grids
- Nuclear research
01 / Research
Three perspectives.
One shared foundation.
Mathematical analysis, scientific machine learning and simulation connect our research.
Explore all research themes02 / RESEARCH
Combine neural approximation, differential equations and numerical analysis.
03 / RESEARCH
Develop mathematical models and numerical methods for physical systems.
02 / People
A shared curiosity.
A research community.
Led by Hyunju Kim, DEEP-MATH Lab brings people together around the mathematical foundations of AI and energy research.
DEEP-MATH stands for Deep-learning Engineering and Explanatory Principles in Mathematics.
Meet the group
03 / Publications
Selected publications.
Selected publications in numerical analysis, geometric approximation and fractional differential equations.
Computational fluid dynamics
Numerical analysis of magnetohydrodynamic free convection hybrid nanofluid flow within a porous cavity containing multiple-heated fins using finite difference scheme
International Journal of Numerical Methods for Heat & Fluid Flow · Ahead of print · 1–43
DOI: 10.1108/HFF-04-2026-0484Singular differential equations
Implicitly enriched Galerkin methods for numerical solutions of fourth-order partial differential equations containing singularities
Numerical Methods for Partial Differential Equations · 34(6) · 2079–2112
DOI: 10.1002/num.22277Isogeometric analysis
Mapping techniques for isogeometric analysis of elliptic boundary value problems containing singularities
Computer Methods in Applied Mechanics and Engineering · 254 · 334–352
DOI: 10.1016/j.cma.2012.09.009Isogeometric analysis
Isogeometric analysis and patchwise reproducing polynomial particle method for plates
The University of North Carolina at Charlotte · Dissertation
Isogeometric analysis
Patchwise Reproducing Polynomial Particle Method for Thick Plates: bending, free vibration, and buckling
Journal of the Korean Society for Industrial and Applied Mathematics · 17(2) · 67–85
04 / Join
Research begins
with a conversation.
Discuss a research question, collaboration or visit with the group.
Research enquiries & visits