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Research
Areas
- Numerical methods and analysis for PDE
- Diffuse domain methods and transmission-type boundary conditions
- Multigrid methods and fast solvers
- Mathematical imaging and computational geometry
- Scientific machine learning (GNN + reinforcement learning)
Selected Publications
Book
- S. M. Wise, A. J. Salgado, and M. H. Wong, Multigrid Methods: Axiomatic Convergence Theory for Linear and Weakly Nonlinear Problems, De Gruyter, 2025. ISBN: 978-3-11-135488-0. Publisher page
Preprints
- T. Luong, T. Mengesha, K. Stinson, S. M. Wise, and M. H. Wong, The α-Limit Problem: Convergence of a Linear Degenerate Interface Transmission Problem, arXiv:2609.01237 [math.AP], 2026. arXiv
- M. H. Wong, The symmetric V-cycle can diverge under the multigrid axioms for cell-centred discretisations, arXiv:2607.23391 [math.NA], 2026. arXiv
Journal Articles
- T. Luong, T. Mengesha, S. M. Wise, and M. H. Wong, A Diffuse Domain Approximation with Transmission-Type Boundary Conditions II: Gamma-Convergence, International Journal of Numerical Analysis and Modeling, 22(5):728-744, 2025. DOI
- T. Luong, T. Mengesha, S. M. Wise, and M. H. Wong, A Diffuse Domain Approximation with Transmission-Type Boundary Conditions I: Asymptotic Analysis and Numerics, International Journal of Numerical Analysis and Modeling, 22(5):694-727, 2025. DOI
- M.-H. Wong, M. Li, K.-M. Tam, H.-M. Yuen, C.-T. Au, K. C.-C. Chan, A. M. Li, and L.-M. Lui, A Quasiconformal-Based Geometric Model for Craniofacial Analysis and Its Application, Axioms, 12(4):393, 2023. DOI
Invited and Conference Talks
- SIAM SEAS 2025 (Invited Talk): “Gamma-Convergence and Asymptotic Analysis for a Diffuse Domain Problem with Transmission Boundary Conditions: Part 2, Numerical Confirmation”
- UARK-SIAM-CSS 2025 Conference (Invited Talk), University of Arkansas, Fayetteville, AR: “Gamma-Convergence and Asymptotic Analysis for a Diffuse Domain Problem with Transmission Boundary Conditions: Part 2, Numerical Confirmation”
- Workshop on Theoretical and Numerical Challenges in Materials Science (2024), University of Alabama
- UROP Workshop (2022), CUHK: “Preliminary Diagnosis of Childhood Obstructive Sleep Apnea using 2D Images by Quasi-Conformal Geometry”
Current and Recent Projects
- Diffuse Domain Methods for Poisson PDE
- Asymptotic behavior, numerics, and Gamma-convergence analysis
- Co-supervised by Steven M. Wise and Tadele Mengesha
- Combinatorial Optimization with GCN + Deep RL
- ORNL + UTK collaboration
- Optimization workflow design for scientific applications
- Medical Imaging for Early Diagnosis of Childhood Obstructive Sleep Apnea
- Quasiconformal-geometry-based craniofacial analysis from 2D images
- Classification workflow development for early-stage diagnosis
Selected Awards
- Spike Tickle STEM Endowed Fellowship (UTK, 2026)
- Dawn and Lawrence Taylor Graduate Fellowship (UTK, 2025)
- Dorothea and Edgar D. Eaves Graduate Student Teaching Award - Senior (UTK, 2025)
- Department of Mathematics Fellowship (UTK, 2022)
- Undergraduate Research Opportunities Programme (UROP) Gold Award (CUHK, 2022)
- Chung Chi College Kunkle and Pommerenke Full Tuition Scholarship (CUHK)
- Chung Chi College Departmental Prize - Enrichment Mathematics (CUHK, 2022)
- Chung Chi College Scholarship for Excellence (CUHK, 2021)
- Faculty of Science Dean’s List (CUHK, five-time awardee)
- Undergraduate Mathematics Scholarship, Department of Mathematics (CUHK, five-time awardee)
