Publications of Pawan Kumar Goyal

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.

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.

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.

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.

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.

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.

Pontes Duff, I., Goyal, P. K., & Benner, P. (2019)Balanced Truncation for a Special Class of Bilinear Descriptor SystemsIEEE Control Systems Letters, 3 (3), 535–540doi: 10.1109/LCSYS.2019.2911904.

Benner, P., Goyal, P. K., & Gugercin, S. (2018)H₂-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control SystemsSIAM Journal on Matrix Analysis and Applications, 39 (2), 983–1032doi: 10.1137/16M1098280.

Ahmad, M. I., Benner, P., & Goyal, P. K. (2017)Krylov Subspace-Based Model Reduction for a Class of Bilinear Descriptor SystemsJournal of Computational and Applied Mathematics, 315, 303–318doi: 10.1016/j.cam.2016.11.009.

Ahmad, M. I., Benner, P., Goyal, P. K., & Heiland, J. (2017)Moment-Matching Based Model Reduction for Navier–Stokes Type Quadratic-Bilinear Descriptor SystemsZeitschrift für Angewandte Mathematik und Mechanik, 97 (10), 1252–1267doi: 10.1002/zamm.201500262.

Bremer, J., Goyal, P. K., Feng, L., Benner, P., & Sundmacher, K. (2017)POD-DEIM for Efficient Reduction of a Dynamic 2D Catalytic Reactor ModelComputers & Chemical Engineering, 106, 777–784doi: 10.1016/j.compchemeng.2017.02.032.

Benner, P. & Goyal, P. K. (2016)Multipoint Interpolation of Volterra Series and H₂-Model Reduction for a Family of Bilinear Descriptor SystemsSystems & Control Letters, 97, 1–11doi: 10.1016/j.sysconle.2016.08.008.

Gosea, I. V., Peterson, L., Goyal, P. K., Bremer, J., Sundmacher, K., & Benner, P. (2025)Learning Reduced-Order Quadratic-Linear Models in Process Engineering using Operator InferenceNumerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1. ENUMATH 2023: European Conference, September 4-8, Lisbon, Portugal365–376Cham: Springerdoi: 10.1007/978-3-031-86173-4_37.

Pontes Duff, I., Goyal, P. K., & Benner, P. (2022)Data-Driven Identification of Rayleigh-Damped Second-Order SystemsRealization and Model Reduction of Dynamical Systems - A Festschrift in Honor of 70th Birthday of Thanos Antoulas255–272Cham: Springer International Publishingdoi: 10.1007/978-3-030-95157-3_14.

Benner, P. & Goyal, P. K. (2018)An Iterative Model Reduction Scheme for Quadratic-Bilinear Descriptor Systems with an Application to Navier-Stokes EquationsReduced-Order Modeling for Simulation and Optimization1–19Cham: Springer International Publishingdoi: 10.1007/978-3-319-75319-5_1.

Benner, P., Goyal, P. K., & Redmann, M. (2017)Truncated Gramians for Bilinear Systems and their Advantages in Model Order ReductionModel Reduction of Parametrized Systems285–300Cham: Springer International Publishingdoi: 10.1007/978-3-319-58786-8_18.

Fitzer, U., Goyal, P. K., Schuetz, A., Zawra, I., Hohlfeld, D., & Bechtold, T. (2024)Comparison of Model Order Reduction Methods for a Linear Finite Element Model of an Electrically Stimulated NeuronIn: 2024 25th International Conference on Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems, EuroSimE 2024, 1–8doi: 10.1109/EuroSimE60745.2024.10491473.

Peterson, L., Bremer, J., Goyal, P. K., Gosea, I. V., Benner, P., & Sundmacher, K. (2024)Learning Reduced-Order Models for Dynamic CO₂ Methanation using Operator InferenceIn: 34th European Symposium on Computer Aided Process Engineering / 15th International Symposium on Process Systems Engineering, 3319–3324doi: 10.1016/B978-0-443-28824-1.50554-8.

Pontes Duff, I., Goyal, P. K., & Benner, P. (2024)Stability-Certified Learning of Control Systems with Quadratic NonlinearitiesIn: IFAC-PapersOnLine, 151–156doi: 10.1016/j.ifacol.2024.10.129.

Benner, P., Goyal, P. K., Heiland, J., & Pontes Duff, I. (2023)A Quadratic Decoder Approach to Nonintrusive Reduced-Order Modeling of Nonlinear Dynamical SystemsIn: Proceedings in Applied Mathematics and Mechanics, e202200049doi: 10.1002/pamm.202200049.