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Numerical Methods for Gradient Flows and Its Applications (RS-2024-00342949)
This project persues to propose efficient and accurate numerical schemes for solving gradient flows with unconditional gradient stablility.
· Allen-Cahn / Cahn-Hilliard / Swift-Hohenberg / phase-field crystal equations
· Finite-differece method, Fourier spectral method, compact operator
· Other related equations
Gait Data Analysis with AIT STUDIO (RS-2024-00467438)
Collaborating with AIT STUDIO, we devolop the framework for incorporating AI technology into gait analysis.
· Bio-healthcare data
· Time-series data
Automobile Image Data Analysis and Compression (2024A-02-06-01-013)
Mathematical Data Science
· PDE based-supervised learning, data classification
· Topological data analysis
· Reinforce learning
Biomedical Modeling
· Collaborating with medical doctors