3.4k citations · 27.2k across the 213 of their papers we have counts for
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Toward Autonomous Engineering Design: A Knowledge-Guided Multi-Agent Framework
Varun Kumar, George Em Karniadakis
The engineering design process often demands expertise from multiple domains, leading to complex collaborations and iterative refinements. Traditional methods can be resource-inten…
Physics-Informed Machine Learning in Biomedical Science and Engineering
Nazanin Ahmadi, Qianying Cao, Jay D. Humphrey +1
Physics-informed machine learning (PIML) is emerging as a potentially transformative paradigm for modeling complex biomedical systems by integrating parameterized physical laws wit…
AMORE: Adaptive Multi-Output Operator Network for Stiff Chemical Kinetics
Kamaljyoti Nath, Additi Pandey, Bryan T. Susi +2
Time integration of stiff systems is a primary source of computational cost in combustion, hypersonics, and other reactive transport systems. This stiffness can introduce time scal…
Clot Treatment via Compression- and Shear-Induced Densification of Fibrin Network Microstructure: A Combined in Vitro and In Silico Investigation
Yilong Changa, Guansheng Li, Jay Sim +2
Blood clots, consisting of red blood cells (RBCs) entrapped within a fibrin network, can cause life-threatening conditions such as stroke and heart attack. The recently developed m…
DeepSeek vs. ChatGPT vs. Claude: A Comparative Study for Scientific Computing and Scientific Machine Learning Tasks
Qile Jiang, Zhiwei Gao, George Em Karniadakis
Large Language Models (LLMs) have emerged as powerful tools for tackling a wide range of problems, including those in scientific computing, particularly in solving partial differen…
Connecting the geometry and dynamics of many-body complex systems with message passing neural operators
Nicholas A. Gabriel, Neil F. Johnson, George Em Karniadakis
The relationship between scale transformations and dynamics established by renormalization group techniques is a cornerstone of modern physical theories, from fluid mechanics to el…