top of page


  • B. Ghahremani and H. Babaee, A DEIM Tucker Tensor Cross Algorithm and its Application to Dynamical Low-Rank Approximation, Computer Methods in Applied Mechanics and Engineering, 423 (2024) 116879[arxiv][DOI]

  • M. Donello, G. Palkar, M. H. Naderi, D. C. D. R. Fernández, and H. Babaee. Oblique Projection for Scalable Rank-Adaptive Reduced-Order Modeling of Nonlinear Stochastic Partial Differential Equations with Time-Dependent Bases, Proceedings of Royal Society, Part A, 479 (2023) 20230320. [DOI]

  • S. Goswami, A. D. Jagtap, H. Babaee, Bryan T. Susi, and George Karniadakis, Learning Stiff Chemical Kinetics Using Extended Deep Neural Operators,  Computer Methods in Applied Mechanics and Engineering, 419 (2024) 116674[arxiv][DOI]

  • Y. Liu, H. Babaee, P. Givi, H. Chelliah, D. Livescu, A. Nouri, Skeletal Reaction Models for Methane CombustionFuel, 357 (2024) 129581. [arxiv][DOI]

  • M. H. Naderi and H. Babaee, Adaptive Sparse Interpolation for Accelerating Nonlinear Stochastic Reduced-Order Modeling with Time-Dependent Bases, Computer Methods in Applied Mechanics and Engineering, 405 (2023) 113882[DOI]

  • P. Patil and H. Babaee, Reduced-Order Modeling with Time-Dependent Bases for PDEs with Stochastic Boundary ConditionsSIAM/ASA Journal on Uncertainty Quantification, 3 (2023) 727-756. [DOI]

  • A. Aitzhan,  A. G. Nouri, P. Givi, and H. Babaee, Reduced-Order Modeling of Turbulence-Chemistry Interactions using Dynamically Bi-Orthonormal DecompositionSubmitted, (2022). [arxiv]

  • S. Zamani, M. Malik, and H. Babaee, Scalable In Situ Compression of Transient Simulation Data Using Time-Dependent BasesJournal of Computational Physics, 468, (2022) 111457. [DOI]

  • N. Gourianov, M. Lubasch, S. Dolgov, Q. Y. Berg, H. Babaee, P. Givi, M. Kiffner, and D. Jaksch, A Quantum Inspired Approach to Exploit Turbulence StructuresNature Computational Science, 2 (2022) 30–37. [DOI]

  • M. Sarabian, H. Babaee, and K. Laksari, Physics-Informed Neural Networks for Brain Hemodynamic Predictions Using Medical Imaging, IEEE Trans Med Imaging, (2022). [DOI]

  • M. Donello, M. Carpenter and H. Babaee, Computing Sensitivities in Evolutionary Systems: A Real-Time Reduced Order Modeling Strategy,  SIAM Journal on Scientific Computing, 44 (2022) A128-A149. [DOI]

  • D. Ramezanian, A. G. Nouri and H. Babaee, On-the-fly Reduced Order Modeling of Passive and Reactive Species via Time-Dependent Manifolds,  Computer Methods in Applied Mechanics and Engineering, 382 (2021) 113882. [DOI]

  • A. G. Nouri, H. Babaee, H. K. Chelliah, and D. Livescu, Skeletal Model Reduction with Forced Optimally Time-Dependent Modes, Combustion and Flames, 235 (2021) 111684. [DOI]

  • X. Meng, H. Babaee, and G. E. Karniadakis, Multi-fidelity Bayesian Neural Networks: Algorithms and Applications,  Journal of Computational Physics, 438 (2021) 110361. [DOI]

  • P. Arrue, N. Toosizadeh, H. Babaee, K. Laksari, Reduced Representation of the Kinematic Response of the Head During Head Impacts: A Data-Driven Approach,  Frontiers in Biotechnology and Bioengineering, 8 (2020) 1049. [DOI]

  •  P. Patil and H. Babaee, Real-Time Reduced-Order Modeling of Stochastic Partial Differential Equations via Time-Dependent Subspaces, Journal of Computational Physics415 (2020) 109511. [DOI]

  •  H. Babaee, C. Bastidas, M. DeFilippo, C. Chryssostomidis, G.E. Karniadakis, A Multi-Fidelity Framework and Uncertainty Quantification for Sea Surface Temperature in the Massachusetts and Cape Cod Bays, Earth and Space Science 7 (2020) 458. [DOI]

  • H. Babaee, An Observation-Driven Time-Dependent Basis for a Reduced Description of Transient Stochastic Systems,  Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences475 (2019) 20190506. [DOI]

  • M. Raissi, H. Babaee and P. Givi, Deep Learning of Turbulent Scalar Mixing, Physical Review Fluids4 (2019) 124501. [DOI]

  • M. Raissi, H. Babaee and G.E. Karniadakis, Parametric Gaussian Process Regression for Big Data, Computational Mechanics64 (2019) 409. [DOI]

  • D. Zhang, H. Babaee and G.E. Karniadakis, Stochastic Domain Decomposition via Moment Minimization, SIAM Journal on Scientific Computing40 (2018) A2152. [DOI]

  • K. Laksari, M. Kurt, H. Babaee, S. Kleiven and D. Camarillo, Mechanistic Insights into Human Brain Impact Dynamics Through Modal Analysis, Physical Review Letters120 (2018) 138101. Physical Review Letters editor’s highlight[DOI]

  • H. Babaee, M. Farazmand, G. Haller and T.P. Sapsis, Reduced-Order Description of Transient Instabilities and Computation of Finite-Time Lyapunov Exponents, Chaos: An Interdisciplinary Journal of Nonlinear Science,   27 (2017) 063103. [DOI]

  • H. Babaee, M. Choi, T.P. Sapsis and G.E. Karniadakis, A Robust Bi-Orthogonal/Dynamically-Orthogonal Method Using the Covariance Pseudo-Inverse for Stochastic Flow Problems, Journal of Computational Physics, 344 (2017) 303. [DOI]

  • H. Babaee and T. P. Sapsis, A Minimization Principle for the Description of Modes Associated with Finite-time Instabilities, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472 (2016) 20150779. Featured on the cover[DOI]

  • H. Babaee, P. Perdikaris, C. Chryssostomidis and G.E. Karniadakis, Multi-fidelity Modeling of Mixed Convection Based on Experimental Correlations and Numerical Simulations, Journal of Fluid Mechanics, 809 (2016) 895. [DOI]

  • X. Zheng, H. Babaee, S. Dong, C. Chryssostomidis, G.E. Karniadakis, A Phase-Field Method for 3D Simulation of Two-Phase Heat Transfer,  International Journal of Heat and Mass Transfer, 82 (2015) 282. [DOI]

  • L. Alvergue, H. Babaee, G. Gu, and S. Acharya, Feedback Stabilization of a Reduced Order Model of a Jet in Cross-flow,  AIAA Journal, 53 (2015) 2472. [DOI]

  • H. Babaee and S. AcharyaA Hybrid Staggered/Semi-staggered Finite Difference Algorithm for Solving Time- dependent Incompressible Navier-Stokes Equations on Complex GeometriesNumerical Heat Transfer, 65 (2014) 1[DOI]

  • H. Babaee, S. Acharya and X. Wan, Optimization of Forcing Parameters of Film Cooling EffectivenessASME Journal of Turbomachinery, 136 (2013) 061016. [DOI]

  • H. Babaee, X. Wan and S. Acharya, Effect of Uncertainty in Blowing Ratio on Film Cooling EffectivenessASME Journal of Heat Transfer, 136 (2013) 031701. [DOI]


  • K. Laksari, H. Babaee, Noninvasive Real-Time Patient-Specific Assessment of Stroke Severity, US Patent Application, (2019), 18-140.

bottom of page