Publications of Pawan Kumar Goyal

Benner, P.; Goyal, P. K.: Interpolation-Based Model Order Reduction for Polynomial Systems. SIAM Journal on Scientific Computing 43 (1), pp. A84 - A108 (2021)

Benner, P.; Goyal, P. K.; Heiland, J.; Pontes Duff, I.: Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible Flows. Electronic Transactions on Numerical Analysis: Special Issue SciML (accepted)

Benner, P.; Goyal, P. K.; Pontes Duff, I.: Gramians, Energy Functionals and Balanced Truncation for Linear Dynamical Systems with Quadratic Outputs. IEEE Transactions on Automatic Control (2021)

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)

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 (Eds. Beattie, C.; Benner, P.; Embree, M.; Gugercin, S.; Lefteriu, S.). Springer Nature (accepted)

Benner, P.; Goyal, P. K.: An Iterative Model Reduction Scheme for Quadratic-Bilinear Descriptor Systems with an Application to Navier-Stokes Equations. In: Reduced-Order Modeling for Simulation and Optimization, pp. 1 - 19 (Eds. Keiper, W.; Milde, A.; Volkwein, S.). Springer International Publishing, Cham, Switzerland (2018)

Benner, P.; Goyal, P. K.; Redmann, M.: Truncated Gramians for Bilinear Systems and their Advantages in Model Order Reduction. In: Model Reduction of Parametrized Systems, pp. 285 - 300 (Eds. Benner, P.; Ohlberger, M.; Patera, A.; Rozza, G.; Urban, K.). Springer International Publishing, Cham, Switzerland (2017)

Bremer, J.; Goyal, P. K.; Feng, L.; Benner, P.; Sundmacher, K.: Nonlinear Model Order Reduction for Catalytic Tubular Reactors. In: 26th European Symposium on Computer Aided Process Engineering, pp. 2373 - 2378. 26th European Symposium on Computer Aided Process Engineering - ESCAPE 26, Portorož, Slovenia, June 12, 2016 - June 15, 2016. (2016)

Goyal, P. K.; Benner, P.: An Iterative Model Order Reduction Scheme for a Special Class of Bilinear Descriptor Systems Appearing in Constraint Circuit Simulation. In: Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering: Volume II, pp. 4196 - 4212 (Eds. Papadrakakis, M.; Papadopoulos, V.; Stefanou, G.; Plevris, V.). VII European Congress on Computational Methods in Applied Sciences and Engineering, Crete Island, Greece, June 05, 2016 - June 10, 2016. National Technical University of Athens (NTUA), Athens, Greece (2016)