Publications of Pawan Kumar Goyal

Goyal, P. K.; Benner, P.: Algebraic Gramians for Quadratic-Bilinear Systems and their Application in Model Order Reduction. 22nd International Symposium on Mathematical Theory of Networks and Systems, Minnesota, USA (2016)

Goyal, P. K.; Benner, P.: Balanced Truncation Model Reduction for Quadratic-Linear Systems. Model Reduction of Parametrized Systems III (MoRePaS 2015), Trieste, Italy (2015)

Goyal, P. K.; Benner, P.: Model order reduction of stokes-type bilinear descriptor systems. Recent trends and future developments in Computational Science & Engineering, Plön, Germany (2015)

Goyal, P. K.; Heiland, J.; Ahmad, M. I.; Benner, P.: Interpolary Model Reduction for Stokes-type Quadratic-Bilinear Systems. International Conference on Scientific Computation And Differential Equations 2015 (SciCADE 2015), Potsdam, Germany (2015)

Goyal, P. K.: Interpolatory Model Order Reduction for Bilinear Descriptor Systems. Reduced Basis Summer School 2014, Münster, Germany (2014)

Bremer, J.; Goyal, P. K.; Feng, L.; Benner, P.; Sundmacher, K.: Optimization and Reduced Order Modeling of CO₂ Methanation Reactors. KoMSO Challenge Workshop "Reduced-Order Modeling for Simulation and Optimization"​, Renningen, Germany (2016)

Goyal, P. K.: Interpolatory model reduction for bilinear descriptor systems. Workshop on Model Reduction, Pilsen, Czech Republic (2015)

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

Forootani, A.; Goyal, P. K.; Benner, P.: A Robust SINDy Approach by Combining Neural Networks and an Integral Form. (2023)

Goyal, P. K.; Pontes Duff, I.; Benner, P.: Guaranteed Stable Quadratic Models and their applications in SINDy and Operator Inference. (2023)

Goyal, P. K.; Yildiz, S.; Benner, P.: Deep Learning for Structure-Preserving Universal Stable Koopman-Inspired Embeddings for Nonlinear Canonical Hamiltonian Dynamics. (2023)

Benner, P.; Goyal, P. K.; Van Dooren, P.: Parameterized Interpolation of Passive Systems. (2023)

Yildiz, S.; Goyal, P. K.; Benner, P.: Linearly Implicit Global Energy Preserving Reduced-order Models for Cubic Hamiltonian Systems. (2023)

Yildiz, S.; Goyal, P. K.; Bendokat, T.; Benner, P.: Data-Driven Identification of Quadratic Symplectic Representations of Nonlinear Hamiltonian Systems. (2023)

Goyal, P. K.; Peherstorfer, B.; Benner, P.: Rank-Minimizing and Structured Model Inference. (2023)

Goyal, P. K.; Pontes Duff, I.; Benner, P.: Inference of Continuous Linear Systems from Data with Guaranteed Stability. (2023)

Goyal, P. K.; Pontes Duff, I.; Benner, P.: Dominant Subspaces of High-Fidelity Nonlinear Structured Parametric Dynamical Systems and Model Reduction. (2023)

Goyal, P. K.; Benner, P.: Generalized Quadratic-Embeddings for Nonlinear Dynamics using Deep Learning. (2022)

Goyal, P. K.; Benner, P.: Learning Low-Dimensional Quadratic-Embeddings of High-Fidelity Nonlinear Dynamics using Deep Learning. (2021)

Goyal, P. K.; Benner, P.: LQResNet: A Deep Neural Network Architecture for Learning Dynamic Processes. (2021)