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G. Karniadakis · SciRah

Researcher profile · Semantic Scholar

G. Karniadakis

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G. Karniadakis — researcher profile on SciRah

h-index: 147
Works: 1,061
Citations: 131K

Most-cited papers

A comprehensive and FAIR comparison between MLP and KAN representations for differential equations and operator networks
K. Shukla, Juan Diego Toscano, Zhi-Cheng Wang, Zongren Zou +1 more
2024Computer Methods in Applied Mechanics and Engineering274 citations
Semantic Scholar
Tackling the Curse of Dimensionality with Physics-Informed Neural Networks
Zhe-Yuan Hu, K. Shukla, G. Karniadakis, Kenji Kawaguchi
2023Neural Networks257 citations Open access
Semantic Scholar
Residual-based attention in physics-informed neural networks
Sokratis J. Anagnostopoulos, Juan Diego Toscano, Nikolaos Stergiopulos, G. Karniadakis
2023Computer Methods in Applied Mechanics and Engineering230 citations Open access
Semantic Scholar
Correcting model misspecification in physics-informed neural networks (PINNs)
Zongren Zou, Xuhui Meng, G. Karniadakis
2023Journal of Computational Physics114 citations
Semantic Scholar
Deep neural operators as accurate surrogates for shape optimization
K. Shukla, Vivek Oommen, Ahmad Peyvan, Michael Penwarden +5 more
2024Engineering applications of artificial intelligence103 citations Open access
Semantic Scholar
Learning stiff chemical kinetics using extended deep neural operators
S. Goswami, Ameya Dilip Jagtap, H. Babaee, Bryan T. Susi +1 more
2023Computer Methods in Applied Mechanics and Engineering96 citations Open access
Semantic Scholar
AI-Aristotle: A physics-informed framework for systems biology gray-box identification
Nazanin Ahmadi Daryakenari, Mario De Florio, K. Shukla, G. Karniadakis
2023PLoS Comput. Biol.85 citations Open access
Semantic Scholar
DeepSeek vs. ChatGPT vs. Claude: A Comparative Study for Scientific Computing and Scientific Machine Learning Tasks
Qile Jiang, Zhi-Wei Gao, G. Karniadakis
2025Theoretical and Applied Mechanics Letters68 citations Open access
Semantic Scholar
DeepOnet Based Preconditioning Strategies For Solving Parametric Linear Systems of Equations
Alena Kopanicáková, G. Karniadakis
2024SIAM Journal on Scientific Computing68 citations
Semantic Scholar
Hutchinson Trace Estimation for High-Dimensional and High-Order Physics-Informed Neural Networks
Zhe-Yuan Hu, Zekun Shi, G. Karniadakis, Kenji Kawaguchi
2023Computer Methods in Applied Mechanics and Engineering65 citations Open access
Semantic Scholar
NeuralUQ: A Comprehensive Library for Uncertainty Quantification in Neural Differential Equations and Operators
Zongren Zou, Xuhui Meng, Apostolos F. Psaros, G. Karniadakis
2024SIAM Review62 citations Open access
Semantic Scholar
En-DeepONet: An enrichment approach for enhancing the expressivity of neural operators with applications to seismology
E. Haghighat, U. bin Waheed, G. Karniadakis
2024Computer Methods in Applied Mechanics and Engineering61 citations
Semantic Scholar
RiemannONets: Interpretable Neural Operators for Riemann Problems
Ahmad Peyvan, Vivek Oommen, Ameya D. Jagtap, G. Karniadakis
2024Computer Methods in Applied Mechanics and Engineering61 citations Open access
Semantic Scholar
Transformers as Neural Operators for Solutions of Differential Equations with Finite Regularity
Benjamin Shih, Ahmad Peyvan, Zhong-Qiang Zhang, G. Karniadakis
2024Computer Methods in Applied Mechanics and Engineering58 citations
Semantic Scholar
Neural Operator Learning for Long-Time Integration in Dynamical Systems with Recurrent Neural Networks
K. Michałowska, S. Goswami, G. Karniadakis, Signe Riemer-Sørensen
2023IEEE International Joint Conference on Neural Network50 citations Open access
Semantic Scholar
Uncertainty quantification for noisy inputs-outputs in physics-informed neural networks and neural operators
Zongren Zou, Xuhui Meng, G. Karniadakis
2023arXiv.org47 citations
Semantic Scholar
Physics-Informed Neural Networks Enhanced Particle Tracking Velocimetry: An Example for Turbulent Jet Flow
Sheng-Ze Cai, C. Gray, G. Karniadakis
2024IEEE Transactions on Instrumentation and Measurement45 citations
Semantic Scholar
Sound propagation in realistic interactive 3D scenes with parameterized sources using deep neural operators
Nikolas Borrel-Jensen, S. Goswami, A. Engsig-Karup, G. Karniadakis +1 more
2023Proceedings of the National Academy of Sciences of the United States of America45 citations Open access
Semantic Scholar
State-space models are accurate and efficient neural operators for dynamical systems
Zhe-Yuan Hu, Nazanin Ahmadi Daryakenari, Qian-Li Shen, Kenji Kawaguchi +1 more
2024Neural Networks43 citations
Semantic Scholar
Synergistic Learning with Multi-Task DeepONet for Efficient PDE Problem Solving
Varun Kumar, S. Goswami, Katiana Kontolati, Michael D. Shields +1 more
2024Neural Networks43 citations Open access
Semantic Scholar
ViTO: Vision Transformer-Operator
O. Ovadia, Adar Kahana, Panos Stinis, Eli Turkel +1 more
2023arXiv.org40 citations Open access
Semantic Scholar
Fusion-DeepONet: A data-efficient neural operator for geometry-dependent hypersonic and supersonic flows
Ahmad Peyvan, Varun Kumar, G. Karniadakis
2025Journal of Computational Physics39 citations Open access
Semantic Scholar
Physics-Informed machine learning for solar-thermal power systems
Julian D. Osorio, Mario De Florio, Rob Hovsapian, C. Chryssostomidis +1 more
2025Energy Conversion and Management37 citations Open access
Semantic Scholar
GMC-PINNs: A new general Monte Carlo PINNs method for solving fractional partial differential equations on irregular domains
Shu-Peng Wang, G. Karniadakis
2024Computer Methods in Applied Mechanics and Engineering37 citations
Semantic Scholar
Learning in PINNs: Phase transition, diffusion equilibrium, and generalization
Sokratis J. Anagnostopoulos, Juan Diego Toscano, Nikolaos Stergiopulos, G. Karniadakis
2024Neural Networks35 citations Open access
Semantic Scholar
Score-Based Physics-Informed Neural Networks for High-Dimensional Fokker-Planck Equations
Zhe-Yuan Hu, Zhong-Qiang Zhang, G. Karniadakis, Kenji Kawaguchi
2024arXiv.org34 citations
Semantic Scholar
Uncertainty quantification for noisy inputs–outputs in physics-informed neural networks and neural operators
Zongren Zou, Xuhui Meng, G. Karniadakis
2025Computer Methods in Applied Mechanics and Engineering33 citations Open access
Semantic Scholar
Two-stage initial-value iterative physics-informed neural networks for simulating solitary waves of nonlinear wave equations
Jin Song, Ming Zhong, G. Karniadakis, Zhen-Ya Yan
2024Journal of Computational Physics33 citations Open access
Semantic Scholar
NeuroSEM: A hybrid framework for simulating multiphysics problems by coupling PINNs and spectral elements
K. Shukla, Zongren Zou, C. Chan, Additi Pandey +2 more
2024Computer Methods in Applied Mechanics and Engineering33 citations
Semantic Scholar
Tensor neural networks for high-dimensional Fokker-Planck equations
Tao-Rui Wang, Zhe-Yuan Hu, Kenji Kawaguchi, Zhong-Qiang Zhang +1 more
2024Neural Networks32 citations
Semantic Scholar
Tackling the Curse of Dimensionality in Fractional and Tempered Fractional PDEs with Physics-Informed Neural Networks
Zhe-Yuan Hu, Kenji Kawaguchi, Zhong-Qiang Zhang, G. Karniadakis
2024Computer Methods in Applied Mechanics and Engineering31 citations Open access
Semantic Scholar
Learning in latent spaces improves the predictive accuracy of deep neural operators
Katiana Kontolati, S. Goswami, G. Karniadakis, M. Shields
2023arXiv.org31 citations Open access
Semantic Scholar
KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics
Juan Diego Toscano, Li-Lian Wang, G. Karniadakis
2024arXiv.org30 citations
Semantic Scholar
ViTO: Vision Transformer-Operator
O. Ovadia, Adar Kahana, Panos Stinis, Eli Turkel +2 more
2024Computer Methods in Applied Mechanics and Engineering30 citations Open access
Semantic Scholar
Operator Learning for Reconstructing Flow Fields from Sparse Measurements: an Energy Transformer Approach
Qian Zhang, D. Krotov, G. Karniadakis
2025Journal of Computational Physics27 citations
Semantic Scholar
Physics-Informed Neural Networks and Extensions
M. Raissi, P. Perdikaris, Nazanin Ahmadi, G. Karniadakis
2024arXiv.org27 citations
Semantic Scholar
Deep neural operators can serve as accurate surrogates for shape optimization: A case study for airfoils
K. Shukla, Vivek Oommen, Ahmad Peyvan, Michael Penwarden +4 more
2023arXiv.org27 citations Open access
Semantic Scholar
Bi-orthogonal fPINN: A physics-informed neural network method for solving time-dependent stochastic fractional PDEs
Lei Ma, R. Li, Fanhai Zeng, Ling Guo +1 more
2023Communications in Computational Physics26 citations Open access
Semantic Scholar
Instability-wave prediction in hypersonic boundary layers with physics-informed neural operators
Yue Hao, P. C. Di Leoni, O. Marxen, C. Meneveau +2 more
2023Journal of Computer Science26 citations Open access
Semantic Scholar
Inferring turbulent velocity and temperature fields and their statistics from Lagrangian velocity measurements using physics-informed Kolmogorov-Arnold Networks
Juan Diego Toscano, T. Käufer, Zhibo Wang, Martin Maxey +2 more
2024arXiv.org24 citations
Semantic Scholar
Grand Challenges at the Interface of Engineering and Medicine
Shankar Subramaniam, M. Akay, M. Anastasio, Vasudev J. Bailey +46 more
2024IEEE Open Journal of Engineering in Medicine and Biology23 citations Open access
Semantic Scholar
Learning characteristic parameters and dynamics of centrifugal pumps under multi-phase flow using physics-informed neural networks
Felipe de Castro Teixeira Carvalho, Kamaljyoti Nath, A. Serpa, G. Karniadakis
2023Engineering applications of artificial intelligence20 citations Open access
Semantic Scholar
Real-time Inference and Extrapolation via a Diffusion-inspired Temporal Transformer Operator (DiTTO)
O. Ovadia, Vivek Oommen, Adar Kahana, Ahmad Peyvan +2 more
202320 citations
Semantic Scholar
Error Estimates of Residual Minimization using NNs for Linear PDEs
Yeonjong Shin, Zhong-Qiang Zhang, G. Karniadakis
2023Journal of Machine Learning for Modeling and Computing16 citations Open access
Semantic Scholar
Physics-Informed Machine Learning in Biomedical Science and Engineering
Nazanin Ahmadi, Q. Cao, J. Humphrey, G. Karniadakis
2025arXiv.org15 citations
Semantic Scholar
Operator Learning Enhanced Physics-informed Neural Networks for Solving Partial Differential Equations Characterized by Sharp Solutions
Bin Lin, Zhi-Ping Mao, Zhi-Cheng Wang, G. Karniadakis
2023arXiv.org15 citations
Semantic Scholar
Artificial to Spiking Neural Networks Conversion for Scientific Machine Learning
Qian Zhang, Chen-Chun Wu, Adar Kahana, Youngeun Kim +3 more
2023arXiv.org14 citations Open access
Semantic Scholar
Spectral and Spectral Element Methods for Fractional Ordinary and Partial Differential Equations
Mohsen Zayernouri, Li-Lian Wang, Jie Shen, G. Karniadakis
202413 citations
Semantic Scholar
Quantification of total uncertainty in the physics-informed reconstruction of CVSim-6 physiology
Mario De Florio, Zongren Zou, D. Schiavazzi, G. Karniadakis
2024arXiv.org13 citations
Semantic Scholar
Leveraging viscous Hamilton-Jacobi PDEs for uncertainty quantification in scientific machine learning
Zongren Zou, Tingwei Meng, Paula X. Chen, J. Darbon +1 more
2024SIAM/ASA J. Uncertain. Quantification13 citations
Semantic Scholar

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