Paper
Operator Learning on the Data-Driven Multiscale Space for Nonlinear Flow in Random Heterogeneous Porous Media
With R. Pangilinan · arXiv:2606.25820 · Under review
About
Across scales, from local structure to global behavior.
I am an Assistant Professor in Applied Mathematics in the Department of Mathematics and Statistics at Texas A&M University–Corpus Christi.
My research sits at the intersection of numerical analysis, multiscale model reduction, and scientific machine learning. I am especially interested in reliable algorithms for multiscale media, coupled multiphysics processes, graph-based systems, learning on local approximation spaces, and reduced-order representation.
Current research
Recent papers and talks.
Updates from my 2025–2026 publications and conference presentations.
DateUpdates
Talk
Operator Learning on the Data-Driven Multiscale Space
41st Colorado Conference on Iterative and Multigrid Methods · Boulder, Colorado
Invited talk
Accelerated local-global coupling for non-isothermal multiphase reactive flow
27th Conference of the International Linear Algebra Society · Virginia Tech
Talk
Multiscale Graph Reduction for Discrete Diffusion
10th Coastal Bend Mathematics & Statistics Conference · Session organizer and speaker
Talk
Averaged Dynamics of Eco-Epidemic Processes on Graph
BICOB 2026 · Honolulu, Hawaii
Talk
Physics-guided Upscaling and Multiscale Solver for Highly Anisotropic Heat Flux
FEM Rodeo 2026 · University of Texas at Austin
Paper
Learning Ecological and Epidemic Processes using Neural ODEs, KAN-ODEs and SINDy
With Z. Wei, K. Gajamannage, H. Ji, A. Krasnikov, and A. Sadovski · Under review
Paper
Multiscale Graph Reduction for Heterogeneous and Anisotropic Discrete Diffusion Processes
With J. Brannick and B. S. Southworth · Under review
Published paper
An adaptive two-grid preconditioner for shale gas transport in fractured porous media
Computational Geosciences, 30(4), 55
Published paper
Implicit-Explicit Scheme with Multiscale Vanka Two-Grid Solver
Electronic Transactions on Numerical Analysis, 66, 1–31
Published paper
Adaptive multiscale approximation of generalized Forchheimer flow
Computers & Mathematics with Applications, 211, 1–25
Contact
Let’s connect.
Department of Mathematics and Statistics
Texas A&M University–Corpus Christi
Corpus Christi, Texas 78414