Publications of Pawan Kumar Goyal

Forootani, A., Goyal, P. K., & Benner, P. (2025)A Robust Sparse Identification of Nonlinear Dynamics Approach by Combining Neural Networks and an Integral FormEngineering Applications of Artificial Intelligence, 149, 110360doi: 10.1016/j.engappai.2025.110360.

Goyal, P. K., Yildiz, S., & Benner, P. (2025)Deep Learning for Structure-Preserving Universal Stable Koopman-Inspired Embeddings for Nonlinear Canonical Hamiltonian DynamicsMachine Learning: Science and Technology, 6 (1), 015063doi: 10.1088/2632-2153/adb9b5.

Yildiz, S., Goyal, P. K., & Benner, P. (2025)Structure-Preserving Learning for Multi-Symplectic PDEsAdvanced Modeling and Simulation in Engineering Sciences.

Bauer, S., Benner, P., Bereau, T., Blum, V., Boley, M., Carbogno, C., A. Catlow, C. R., Dehm, G., Eibl, S., Ernstorfer, R., Fekete, Á., Foppa, L., Fratzl, P., Freysoldt, C., Gault, B., M. Ghiringhelli, L., Sajal, K. G., Gladyshev, A., Goyal, P. K., Hattrick-Simpers, J., Kabalan, L., Karpov, P., S. Khorrami, M., Koch, C., Kokott, S., Kosch, T., Kowalec, I., Kremer, K., Leitherer, A., Li, Y., Liebscher, C. H., Logsdail, A. J., Lu, Z., Luong, F., Marek, A., Merz, F., R. Mianroodi, J., Neugebauer, J., Purcell, T. A. R., Raabe, D., Rampp, M., Rossi, M., Rost, J.-M., Saalmann, U., Saxena, A., Sbailo, L., Scheffler, M., Scheidgen, M., Schloz, M., Schmidt, D. F., Teshuva, S., Trunschke, A., Wei, Y., Weikum, G., Xian, R. P., Yao, Y., & Zhao, M. (2024)Roadmap on Data-Centric Materials ScienceModelling and Simulation in Materials Science and Engineering, 32, 063301,90 pagesdoi: 10.1088/1361-651X/ad4d0d.

Benner, P. & Goyal, P. K. (2024)Balanced Truncation Model Order Reduction For Quadratic-Bilinear Control SystemsAdvances in Computational Mathematics, 50, 88doi: 10.1007/s10444-024-10186-9.

Benner, P., Goyal, P. K., & Pontes Duff, I. (2024)Identification of Dominant Subspaces for Linear Structured Parametric Systems and Model ReductionInternational Journal for Numerical Methods in Engineering, 125 (15), e7496doi: 10.1002/nme.7496.

Benner, P., Goyal, P. K., & Van Dooren, P. (2024)Parameterized Interpolation of Passive SystemsSIAM Journal on Matrix Analysis and Applications, 45 (2), 1035–1053doi: 10.1137/23M1580528.

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.

Goyal, P. K., Peherstorfer, B., & Benner, P. (2024)Rank-Minimizing and Structured Model InferenceSIAM Journal on Scientific Computing, 46 (3), A1879–A1902doi: 10.1137/23M1554308.

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.

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, 5 (2), 45–71doi: 10.1615/JMachLearnModelComput.2024052810.

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.

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.

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.

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.

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.

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.

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.

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.

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.