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. et al.; Fratzl, P.: Tomographic X-ray Scattering based on Invariant Reconstruction: Analysis of the 3D Nanostructure of Bovine Bone. Journal of Applied Crystallography 54 (2), pp. 486 - 497 (2021)

Redmann, M.; Bayer, C.; Goyal, P. K.: Low-Dimensional Approximations of High-Dimensional Asset Price Models. SIAM Journal on Financial Mathematics 12 (1), pp. 1 - 28 (2021)

Yıldız, S.; Goyal, P. K.; Benner, P.; Karasözen, B.: Learning Reduced-order Dynamics for Parametrized Shallow Water Equations from Data. International Journal for Numerical Methods in Fluids 93 (8), pp. 2803 - 2821 (2021)

Benner, P.; Goyal, P. K.; Kramer, B.; Peherstorfer, B.; Willcox, K.: Operator Inference for Non-Intrusive Model Reduction of Systems with Non-Polynomial Nonlinear Terms. Computer Methods in Applied Mechanics and Engineering 372, 113433, 17 pages (2020)

Benner, P.; Goyal, P. K.; Van Dooren, P.: Identification of Port-Hamiltonian Systems from Frequency Response Data. Systems & Control Letters 143, 104741, 9 pages (2020)

Goyal, P. K.; Redmann, M.: Time-Limited H₂-Optimal Model Order Reduction. Applied Mathematics and Computation 355, pp. 184 - 197 (2019)

Pontes Duff, I.; Goyal, P. K.; Benner, P.: Balanced Truncation for a Special Class of Bilinear Descriptor Systems. IEEE Control Systems Letters 3 (3), pp. 535 - 540 (2019)

Benner, P.; Goyal, P. K.; Gugercin, S.: H₂-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems. SIAM Journal on Matrix Analysis and Applications 39 (2), pp. 983 - 1032 (2018)

Ahmad, M. I.; Benner, P.; Goyal, P. K.: Krylov Subspace-Based Model Reduction for a Class of Bilinear Descriptor Systems. Journal of Computational and Applied Mathematics 315, pp. 303 - 318 (2017)

Ahmad, M. I.; Benner, P.; Goyal, P. K.; Heiland, J.: Moment-Matching Based Model Reduction for Navier–Stokes Type Quadratic-Bilinear Descriptor Systems. Zeitschrift für Angewandte Mathematik und Mechanik 97 (10), pp. 1252 - 1267 (2017)

Bremer, J.; Goyal, P. K.; Feng, L.; Benner, P.; Sundmacher, K.: POD-DEIM for Efficient Reduction of a Dynamic 2D Catalytic Reactor Model. Computers & Chemical Engineering 106, pp. 777 - 784 (2017)

Benner, P.; Goyal, P. K.: Multipoint Interpolation of Volterra Series and H₂-Model Reduction for a Family of Bilinear Descriptor Systems. Systems & Control Letters 97, pp. 1 - 11 (2016)

Gosea, I. V.; Peterson, L.; Goyal, P. K.; Bremer, J.; Sundmacher, K.; Benner, P.: Learning Reduced-Order Quadratic-Linear Models in Process Engineering using Operator Inference. In: Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1. ENUMATH 2023: European Conference, September 4-8, Lisbon, Portugal, pp. 365 - 376 (Eds. Sequeira, A.; Silvestre, A.; Valtchev, S.; Janela, J.). Springer, Cham (2025)

Pontes Duff, I.; Goyal, P. K.; Benner, P.: Data-Driven Identification of Rayleigh-Damped Second-Order Systems. In: Realization and Model Reduction of Dynamical Systems - A Festschrift in Honor of 70th Birthday of Thanos Antoulas, pp. 255 - 272 (Eds. Beattie, C.; Benner, P.; Embree, M.; Gugercin, S.; Lefteriu, S.). Springer International Publishing, Cham (2022)

Pontes Duff, I.; Goyal, P. K.; Benner, P.: Stability-Certified Learning of Control Systems with Quadratic Nonlinearities. MTNS 2024 - 26th International Symposium on Mathematical Theory of Networks and Systems, Cambridge, UK, August 19, 2024 - August 23, 2024. IFAC-PapersOnLine 58 (17), pp. 151 - 156 (2024)

Benner, P.; Goyal, P. K.; Heiland, J.; Pontes Duff, I.: A Quadratic Decoder Approach to Nonintrusive Reduced-Order Modeling of Nonlinear Dynamical Systems. 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics, Aachen, Germany, August 15, 2022 - August 19, 2022. Proceedings in Applied Mathematics and Mechanics 23 (1), e202200049, (2023)

Goyal, P. K.: System-Theoretic Model Order Reduction for Bilinear and Quadratic-Bilinear Control Systems. Dissertation, Otto-von-Guericke-Universität, Magdeburg (2018)

Gkimisis, L.; Pontes Duff, I.; Goyal, P. K.; Benner, P.: On the Representation of Energy-Preserving Quadratic Operators with Application to Operator Inference. (2025)

Forootani, A.; Kapadia, H.; Chellappa, S.; Goyal, P. K.; Benner, P.: GS-PINN: Greedy Sampling for Parameter Estimation in Partial Differential Equations. (2024)

Khorrami, M. S.; Goyal, P. K.; Mianroodi, J. R.; Svendsen, B.; Benner, P.; Raabe, D.: Divergence-free Neural Operators for Stress Field Modeling in Polycrystalline Materials. (2024)