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.

MPG.PuRe

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.

MPG.PuRe

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, 50, 42doi: 10.1007/s10444-024-10133-8.

MPG.PuRe

Journal Article

Yildiz, S., Goyal, P. K., Bendokat, T., & Benner, P. (2024)Data-Driven Identification of Quadratic Representations for Nonlinear Hamiltonian Systems using Weakly Symplectic LiftingsJournal of Machine Learning for Modeling and Computing.

MPG.PuRe

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.

MPG.PuRe

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.

MPG.PuRe

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.

MPG.PuRe

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.

MPG.PuRe

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.

MPG.PuRe

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.

MPG.PuRe

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.

MPG.PuRe

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.

MPG.PuRe

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.

MPG.PuRe