Selected Projects

Numerical computation and deformation of solutions of evolutionary partial differential equations (PDEs) fixed by the action of subgroups of a Lie group Γ = Λ × R of continuous symmetries of the PDEs, where R is the group of time translations and Λ is non-trivial.  Analyzing the structure of the moduli spaces of solutions.

• V López. Numerical continuation of invariant solutions of the complex Ginzburg–Landau equation. Communications in Nonlinear Science and Numerical Simulation, 61:248–270, 2018.  https://doi.org/10.1016/j.cnsns.2018.01.019 

• V López, P Boyland, MT Heath, and RD Moser. Relative periodic solutions of the complex Ginzburg–Landau equation. SIAM Journal on Applied Dynamical Systems, 4(4):1042–1075, 2005. https://doi.org/10.1137/040618977 

• V López. Periodic solutions of chaotic partial differential equations with symmetries. PhD Thesis, University of Illinois at Urbana-Champaign, 2004.

Devise and implement numerical methods for solving initial / boundary value problems, coupled with sensor measurements, for simulating heat and mass transfer.

• V López. Simulating heat and mass transfer with limited amount of sensor data. In P Quintela, P Barral, D Gómez, FJ Pena, J Rodrı́guez, P Salgado, and ME Vázquez-Méndez, editors, Progress in Industrial Mathematics at ECMI 2016, pages 673–680, Cham, Springer International Publishing. 2017. https://doi.org/10.1007/978-3-319-63082-3_101 

• HF Hamann and V López. Data center metrology and measurement-based modeling methods. In Y Joshi and P Kumar, editors, Energy Efficient Thermal Management of Data Centers, pages 273–334. Springer US, Boston, MA, 2012.  https://doi.org/10.1007/978-1-4419-7124-1_7 

• V Lopez and HF Hamann. Heat transfer modeling in data centers. International Journal of Heat and Mass Transfer, 54(25-26):5306–5318, 2011.  https://doi.org/10.1016/j.ijheatmasstransfer.2011.08.012 

• V Lopez and HF Hamann. A numerical technique for the approximation of thermal zones. In International Electronic Packaging Technical Conference and Exhibition, pages 637–644, 2011.  https://doi.org/10.1115/IPACK2011-52213 

• V López and H Hamann. Measurement-based modeling for data centers. In 12th IEEE Intersociety Conference on Thermal and Thermomechanical Phenomena in Electronic Systems (ITHERM), pages 1–8. IEEE, 2010.  https://doi.org/10.1109/ITHERM.2010.5501415 

• HF Hamann, V López, and Andrew Stepanchuk. Thermal zones for more efficient data center energy management. In 12th IEEE Intersociety Conference on Thermal and Thermomechanical Phenomena in Electronic Systems (ITHERM), pages 1–6. IEEE, 2010.  https://doi.org/10.1109/ITHERM.2010.5501332 

• HF Hamann and V Lopez-Marrero. Techniques for determining physical zones of influence, 2013. US Patent 8,594,985.

• HF Hamann, V Lopez-Marrero, and A Stepanchuk. Methods and techniques for creating and visualizing thermal zones, 2012. US Patent 8,229,713.

• V Lopez-Marrero and HF Hamann. Finding a contaminant source in a volume of flowing fluid, 2023. US Patent 11,726,071.

• LJ Klein, SA Bermudez, AG Schrott, M Tsukada, P Dionisi-Vici, L Kargere, F Marianno, HF Hamann, V López, and  Leona. Wireless sensor platform for cultural heritage monitoring and modeling system. Sensors, 17(9), 2017.  https://doi.org/10.3390/s17091998 

• H Jiang, X Deng, V Lopez, and HF Hamann. Online updating of computer model output using real-time sensor data. Technometrics, 58(4):472–482, 2016.  https://doi.org/10.1080/00401706.2015.1080761 

• R Das, HF Hamann, V Lopez-Marrero, A Stepanchuk, and S Yarlanki. Provisioning aggregate computational workloads and air conditioning unit configurations to optimize utility of air conditioning units and processing resources within a data center, 2016. US Patent 9,286,135.

• H Jiang, X Deng, V Lopez, and H Hamann. A statistical approach to real-time updating and automatic scheduling of physical models. In International Electronic Packaging Technical Conference and Exhibition. American Society of Mechanical Engineers, 2013.  https://doi.org/10.1115/IPACK2013-73042 

• S Yarlanki, R Das, H Hamann, V Lopez, and Andrew Stepanchuk. Employing thermal zones for energy optimization in data centers. In International Electronic Packaging Technical Conference and Exhibition, pages 645–652, 2011.  https://doi.org/10.1115/IPACK2011-52234 

• R Das, S Yarlanki, H Hamann, JO Kephart, and V Lopez. A unified approach to coordinated energy-management in data centers. In 2011 7th International Conference on Network and Service Management, pages 1–5. IEEE, 2011.  https://ieeexplore.ieee.org/abstract/document/6104025 

• HF Hamann, TG van Kessel, M Iyengar, J-Y Chung, W Hirt, MA Schappert, A Claassen, JM Cook, W Min, Y Amemiya, V López, JA Lacey, and M O’Boyle. Uncovering energy-efficiency opportunities in data centers. IBM Journal of Research and Development, 53(3), 2009.  https://doi.org/10.1147/JRD.2009.5429023 

Density estimation from data via optimal measure transport and applications thereof.

• V López-Marrero, PR Johnstone, G Park, and X Luo. Density estimation via measure transport: Outlook for applications in the biological sciences. Statistical Analysis and Data Mining: The ASA Data Science Journal, 17(3), 2024.  https://doi.org/10.1002/sam.11687 

• V López-Marrero. Optimal transport as a tool for scientific discovery in radiation biology. Technical Report BNL-227918-2025-FORE, Brookhaven National Laboratory, 2025. https://doi.org/10.2172/2543026.

• V López-Marrero, P Johnstone, F Alexander, BJ Yoon, X Luo, G Park, and X Qian. Density estimation via measure transport. Conference on Data Analysis (CoDA), 2023. https://www.osti.gov/biblio/2005139.

Traditional numerics & scientific machine learning for predictive digital twins.

• V López-Marrero, M Lin, M Atif, W Xu, and Y Lin. Brookhaven National Laboratory Response to: Networking and Information Technology Research and Development Request for Information on Digital Twins Research and Development, 2024. https://www.nitrd.gov/rfi/DT/2024/89-FR-51554/Brookhaven-DTRD-RFI-2024.pdf

• K Chopra, V Lopez-Marrero, X Dai, and D Park. Multi-scale digital twins for plants: Integrating phenotypic and molecular responses across time and space. In 2025 Workshop on Envisioning Frontiers in AI and Computing for Biological Research, 2025. https://www.orau.gov/support_files/2025Envisioning/ChopraK_BNL-Kriti_Chopra.pdf.

• M Atif, V López-Marrero, T Zhang, A Sharfuddin, K Yu, J Yang, F Yang, F Ladeinde, Y Liu, M Lin, and L Li. Towards accelerating particle-resolved direct numerical simulation with neural operators. Statistical Analysis and Data Mining: The ASA Data Science Journal, 17(3), 2024.  https://doi.org/10.1002/sam.11690 

• T Zhang, L Li, V López-Marrero, M Lin, Y Liu, F Yang, K Yu, and M Atif. Emulator of PR-DNS: Accelerating dynamical fields with neural operators in particle-resolved direct numerical simulation. Journal of Advances in Modeling Earth Systems, 16(2), 2024.  https://doi.org/10.1029/2023MS003898 

• J Yang, M Atif, V López-Marrero, T Zhang, K Yu, M Lin, L Li, F Yang, Y Liu, A Sharfuddin, and F Ladeinde. Towards enabling digital twins capabilities for a cloud chamber. In SC ’23: The International Conference for High Performance Computing, Networking, Storage, and Analysis, 2023.  https://sc23.supercomputing.org/proceedings/tech_poster/tech_poster_pages/rpost121.html

• M Atif, P Dubey, PP Aghor, V López-Marrero, T Zhang, A Sharfuddin, K Yu, F Yang, F Ladeinde, Y Liu, M Lin, and L Li. Fourier neural operators for spatiotemporal dynamics in two-dimensional turbulence. In SC24-W: Workshops of the International Conference for High Performance Computing, Networking, Storage and Analysis, pages 41–48. IEEE, 2024.  https://doi.org/10.1109/SCW63240.2024.00013 

• T Zhang, L Li, Y Liu, V López-Marrero, F Yang, M Atif, F Ladeinde, A Sharfuddin, and M Lin. Emulator of PR-DNS: Part II, Accelerating thermodynamics and cloud droplet fields with machine learning in particle-resolved direct numerical simulation. Authorea Preprints, 2024.  https://doi.org/10.22541/essoar.172858028.85856778/v1 

• A Sharfuddin, F Ladeinde, Y Liu, F Yang, T Zhang, M Atif, M Lin, and V Lopez-Marrero. The impact of scalar forcing on cloud microphysics based on direct numerical simulations. In AIAA SCITECH 2025 Forum, 2025.  https://doi.org/10.2514/6.2025-2223 

• A Sharfuddin, F Ladeinde, Y Liu, M Atif, F Yang, V López-Marrero, M Lin, and T Zhang. Direct numerical simulations of activation and deactivation in turbulent atmospheric clouds. Physics of Fluids, 38(1), 2026. https://doi.org/10.1063/5.0301098.