Publications of Pawan Kumar Goyal

Journal Article

Benner, P., Goyal, P. K., & Van Dooren, P. (2024)Parameterized Interpolation of Passive SystemsSIAM journal on Matrix Analysis and Applications.

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Journal Article

Goyal, P. K. & Benner, P. (2024)Generalized Quadratic-Embeddings for Nonlinear Dynamics using Deep LearningPhysica D: Nonlinear Phenomena, 463, 134158doi: 10.1016/j.physd.2024.134158.

MPG.PuRe

Journal Article

Goyal, P. K., Peherstorfer, B., & Benner, P. (2024)Rank-Minimizing and Structured Model InferenceSIAM Journal on Scientific Computing.

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Journal Article

Goyal, P. K., Pontes Duff, I., & Benner, P. (2024)Dominant Subspaces of High-Fidelity Polynomial Structured Parametric Dynamical Systems and Model ReductionAdvances in Computational Mathematics.

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2023

Journal Article

Filanova, Y., Pontes Duff, I., Goyal, P. K., & Benner, P. (2023)An Operator Inference Oriented Approach for Linear Mechanical SystemsMechanical Systems and Signal Processing, 200, 110620doi: 10.1016/j.ymssp.2023.110620.

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Journal Article

Goyal, P. K. & Benner, P. (2023)Neural Ordinary Differential Equations with Irregular and Noisy DataRoyal Society Open Science, 10, arXiv admin note: substantial text overlap with arXiv:2109.11446doi: 10.1098/rsos.221475.

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Journal Article

Khorrami, M. S., Mianroodi, J. R., Siboni, N. H., Goyal, P. K., Svendsen, B., Benner, P., & Raabe, D. (2023)An Artificial Neural Network for Surrogate Modeling of Stress Fields in Viscoplastic Polycrystalline Materialsnpj Computational Materials, 9, 37doi: 10.1038/s41524-023-00991-z.

MPG.PuRe

2022

Journal Article

Benner, P., Goyal, P. K., Heiland, J., & Pontes Duff, I. (2022)Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible FlowsElectronic Transactions on Numerical Analysis: Special Issue SciML, 56, 28–51doi: 10.1553/etna_vol56s28.

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Journal Article

Benner, P., Goyal, P. K., & Pontes Duff, I. (2022)Gramians, Energy Functionals and Balanced Truncation for Linear Dynamical Systems with Quadratic OutputsIEEE Transactions on Automatic Control, 67 (2), 886–893doi: 10.1109/TAC.2021.3086319.

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Journal Article

Cherifi, K., Goyal, P. K., & Benner, P. (2022)A Non-Intrusive Method to Inferring Linear Port-Hamiltonian Realizations using Time-Domain DataElectronic Transactions on Numerical Analysis: Special Issue SciML, 56, 102–116doi: 10.1553/etna_vol56s102.

MPG.PuRe

Journal Article

Cherifi, K., Goyal, P. K., & Benner, P. (2022)A Greedy Data Collection Scheme For Linear Dynamical SystemsData-Centric Engineering, 3, e16doi: 10.1017/dce.2022.16.

MPG.PuRe

Journal Article

Goyal, P. K. & Benner, P. (2022)Discovery of Nonlinear Dynamical Systems using a Runge-Kutta Inspired Dictionary-based Sparse Regression ApproachProceedings of the Royal Society A, 478 (2262), 20210883doi: 10.1098/rspa.2021.0883.

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2021

Journal Article

Benner, P. & Goyal, P. K. (2021)Interpolation-Based Model Order Reduction for Polynomial SystemsSIAM Journal on Scientific Computing, 43 (1), A84–A108doi: 10.1137/19M1259171.

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Journal Article

De Falco, P., Weinkamer, R., Wagermaier, W., Li, C., Snow, T., Terrill, N. J., Gupta, H. S., Goyal, P. K., Stoll, M., Benner, P., & Fratzl, P. (2021)Tomographic X-ray Scattering based on Invariant Reconstruction: Analysis of the 3D Nanostructure of Bovine BoneJournal of Applied Crystallography, 54 (2), 486–497doi: 10.1107/S1600576721000881.

MPG.PuRe

Journal Article

Redmann, M., Bayer, C., & Goyal, P. K. (2021)Low-Dimensional Approximations of High-Dimensional Asset Price ModelsSIAM Journal on Financial Mathematics, 12 (1), 1–28doi: 10.1137/20M1325666.

MPG.PuRe

Journal Article

Yıldız, S., Goyal, P. K., Benner, P., & Karasözen, B. (2021)Learning Reduced-order Dynamics for Parametrized Shallow Water Equations from DataInternational Journal for Numerical Methods in Fluids, 93 (8), 2803–2821doi: 10.1002/fld.4998.

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2020

Journal Article

Benner, P., Goyal, P. K., Kramer, B., Peherstorfer, B., & Willcox, K. (2020)Operator Inference for Non-Intrusive Model Reduction of Systems with Non-Polynomial Nonlinear TermsComputer Methods in Applied Mechanics and Engineering, 372, 113433, 17 pagesdoi: 10.1016/j.cma.2020.113433.

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post-print

Journal Article

Benner, P., Goyal, P. K., & Van Dooren, P. (2020)Identification of Port-Hamiltonian Systems from Frequency Response DataSystems & Control Letters, 143, 104741, 9 pagesdoi: 10.1016/j.sysconle.2020.104741.

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post-print

2019

Journal Article

Goyal, P. K. & Redmann, M. (2019)Time-Limited H₂-Optimal Model Order ReductionApplied Mathematics and Computation, 355, 184–197doi: 10.1016/j.amc.2019.02.065.

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