P. Goyal

Most-cited papers

1. Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms

   P. Benner, P. Goyal, B. Kramer, B. Peherstorfer +1 more

   2020Computer Methods in Applied Mechanics and Engineering137 citations Open access

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2. An artificial neural network for surrogate modeling of stress fields in viscoplastic polycrystalline materials

   Mohammad Khorrami, J. Mianroodi, N. H. Siboni, P. Goyal +3 more

   2022npj Computational Materials104 citations Open access

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3. H2-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems

   P. Benner, P. Goyal, S. Gugercin

   2016SIAM Journal on Matrix Analysis and Applications91 citations Open access

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4. Discovery of nonlinear dynamical systems using a Runge–Kutta inspired dictionary-based sparse regression approach

   P. Goyal, P. Benner

   2021Proceedings of the Royal Society A79 citations Open access

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5. Guaranteed Stable Quadratic Models and their applications in SINDy and Operator Inference

   P. Goyal, I. P. Duff, P. Benner

   2023Physica A: Statistical Mechanics and its Applications42 citations Open access

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6. Identification of Port-Hamiltonian Systems from Frequency Response Data

   P. Benner, P. Goyal, P. Van Dooren

   2019Systems & control letters (Print)42 citations Open access

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7. Balanced Truncation Model Order Reduction For Quadratic-Bilinear Control Systems

   P. Benner, P. Goyal

   201740 citations

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8. Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible Flows

   P. Benner, P. Goyal, J. Heiland, I. P. Duff

   2020Electronic Transactions on Numerical Analysis36 citations Open access

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9. Gramians, Energy Functionals, and Balanced Truncation for Linear Dynamical Systems With Quadratic Outputs

   P. Benner, P. Goyal, I. P. Duff

   2019IEEE Transactions on Automatic Control34 citations Open access

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10. Neural ordinary differential equations with irregular and noisy data

    P. Goyal, P. Benner

    2023Royal Society Open Science31 citations Open access

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11. Learning reduced‐order dynamics for parametrized shallow water equations from data

    Süleyman Yıldız, P. Goyal, P. Benner, B. Karasözen

    2021International Journal for Numerical Methods in Fluids27 citations Open access

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12. An operator inference oriented approach for linear mechanical systems

    Yevgeniya Filanova, I. P. Duff, P. Goyal, P. Benner

    2022Mechanical systems and signal processing24 citations Open access

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13. Interpolation-Based Model Order Reduction for Polynomial Systems

    P. Benner, P. Goyal

    2021SIAM Journal on Scientific Computing24 citations Open access

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14. POD-DEIM for efficient reduction of a dynamic 2D catalytic reactor model

    J. Bremer, P. Goyal, Li-Hong Feng, P. Benner +1 more

    2017Computers and Chemical Engineering23 citations Open access

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15. Roadmap on data-centric materials science

    Stefan Bauer, Peter Benner, Tristan Bereau, Volker Blum +57 more

    2024Modelling and Simulation in Materials Science and Engineering22 citations Open access

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16. Generalized Quadratic-Embeddings for Nonlinear Dynamics using Deep Learning

    P. Goyal, P. Benner

    2022Physica A: Statistical Mechanics and its Applications21 citations Open access

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17. Time-limited H2-optimal model order reduction

    P. Goyal, Martin Redmann

    2019Applied Mathematics and Computation21 citations

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18. Truncated Gramians for Bilinear Systems and their Advantages in Model Order Reduction

    P. Benner, P. Goyal, Martin Redmann

    201720 citations

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19. Balanced truncation for quadratic-bilinear control systems

    Peter Benner, P. Goyal

    2024Advances in Computational Mathematics19 citations Open access

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20. Moment‐matching based model reduction for Navier–Stokes type quadratic‐bilinear descriptor systems

    Mian Ilyas Ahmad, P. Benner, P. Goyal, J. Heiland

    201719 citations Open access

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21. Krylov subspace-based model reduction for a class of bilinear descriptor systems

    Mian Ilyas Ahmad, P. Benner, P. Goyal

    2017Journal of Computational and Applied Mathematics19 citations Open access

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22. A robust sparse identification of nonlinear dynamics approach by combining neural networks and an integral form

    Ali Forootani, P. Goyal, Peter Benner

    2025Engineering applications of artificial intelligence17 citations Open access

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23. A quadratic decoder approach to nonintrusive reduced‐order modeling of nonlinear dynamical systems

    P. Benner, P. Goyal, J. Heiland, Igor Pontes Duff

    2022Pamm16 citations Open access

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24. A Non-Intrusive Method to Inferring Linear Port-Hamiltonian Realizations using Time-Domain Data

    K. Cherifi, P. Goyal, P. Benner

    2020Electronic Transactions on Numerical Analysis15 citations Open access

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25. Interpolation-Based Model Order Reduction for Polynomial Parametric Systems

    P. Benner, P. Goyal

    201915 citations

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26. A greedy data collection scheme for linear dynamical systems

    K. Cherifi, P. Goyal, P. Benner

    2021Data-Centric Engineering14 citations Open access

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27. A Robust SINDy Approach by Combining Neural Networks and an Integral Form

    Ali Forootani, P. Goyal, P. Benner

    2023arXiv.org13 citations Open access

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28. Data-Driven Identification of Quadratic Representations for Nonlinear Hamiltonian Systems using Weakly Symplectic Liftings

    Süleyman Yıldız, P. Goyal, Thomas Bendokat, P. Benner

    2023Journal of Machine Learning for Modeling and Computing13 citations Open access

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29. Multipoint interpolation of Volterra series and H2-model reduction for a family of bilinear descriptor systems

    P. Benner, P. Goyal

    2016Systems & control letters (Print)13 citations Open access

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30. Model reduction of quadratic-bilinear descriptor systems via Carleman bilinearization

    P. Goyal, Mian Ilyas Ahmad, P. Benner

    2015European Control Conference12 citations

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31. LQResNet: A Deep Neural Network Architecture for Learning Dynamic Processes

    P. Goyal, P. Benner

    2021arXiv.org11 citations

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32. Learning Dynamics from Noisy Measurements using Deep Learning with a Runge-Kutta Constraint

    P. Goyal, P. Benner

    2021arXiv.org11 citations

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33. Balanced Truncation for a Special Class of Bilinear Descriptor Systems

    I. P. Duff, P. Goyal, P. Benner

    2019IEEE Control Systems Letters11 citations Open access

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34. Data-Driven Identification of Rayleigh-Damped Second-Order Systems

    I. P. Duff, P. Goyal, P. Benner

    2019arXiv.org10 citations

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35. Low-dimensional approximations of high-dimensional asset price models

    Martin Redmann, Christian Bayer, P. Goyal

    2020SIAM Journal on Financial Mathematics8 citations Open access

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36. Identification of Dominant Subspaces for Linear Structured Parametric Systems and Model Reduction

    P. Benner, P. Goyal, I. P. Duff

    2019arXiv.org8 citations

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37. Model based control for a Selective Catalytic Reduction (SCR) system in an exhaust gas aftertreatment system for a diesel engine

    W. Rasheed, P. Goyal, C. Joseph

    2013International Conference on Energy Efficient Technologies for Sustainability8 citations

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38. GS-PINN: Greedy Sampling for Parameter Estimation in Partial Differential Equations

    Ali Forootani, Harshit Kapadia, Sridhar Chellappa, P. Goyal +1 more

    20247 citations

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39. Inference of Continuous Linear Systems from Data with Guaranteed Stability

    P. Goyal, I. P. Duff, P. Benner

    2023arXiv.org7 citations Open access

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40. Deep learning for structure-preserving universal stable Koopman-inspired embeddings for nonlinear canonical Hamiltonian dynamics

    P. Goyal, Süleyman Yıldız, P. Benner

    2023Machine Learning: Science and Technology7 citations Open access

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41. Neural ODEs with Irregular and Noisy Data

    P. Goyal, P. Benner

    2022arXiv.org7 citations Open access

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42. Dominant subspaces of high-fidelity polynomial structured parametric dynamical systems and model reduction

    P. Goyal, I. P. Duff, Peter Benner

    2024Advances in Computational Mathematics6 citations Open access

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43. GN-SINDy: Greedy Sampling Neural Network in Sparse Identification of Nonlinear Partial Differential Equations

    Ali Forootani, Harshit Kapadia, Sridhar Chellappa, P. Goyal +1 more

    2024arXiv.org6 citations

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44. Balanced Truncation of Descriptor Systems with a Quadratic Output

    J. Przybilla, I. P. Duff, P. Goyal, Peter Benner

    20246 citations

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45. A physics-encoded Fourier neural operator approach for surrogate modeling of divergence-free stress fields in solids

    Mohammad Khorrami, P. Goyal, J. Mianroodi, Bob Svendsen +2 more

    20245 citations

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46. Learning Low-Dimensional Quadratic-Embeddings of High-Fidelity Nonlinear Dynamics using Deep Learning

    P. Goyal, P. Benner

    2021arXiv.org5 citations

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47. Tomographic X-ray scattering based on invariant reconstruction: analysis of the 3D nanostructure of bovine bone

    Paolino De Falco, R. Weinkamer, W. Wagermaier, Chenghao Li +7 more

    2021Journal of Applied Crystallography5 citations Open access

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48. Towards Time-Limited H2-Optimal Model Order Reduction

    P. Goyal, Martin Redmann

    20185 citations

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49. Moment-Matching Based Model Reduction for Stokes-Type Quadratic-Bilinear Descriptor Systems

    Mian Ilyas Ahmad, P. Benner, P. Goyal

    20155 citations

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50. Learning reduced-order Quadratic-Linear models in Process Engineering using Operator Inference

    I. V. Gosea, Luisa Peterson, P. Goyal, J. Bremer +2 more

    2024arXiv.org4 citations

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