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Pawan Goyal
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Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms
P Benner, P Goyal, B Kramer, B Peherstorfer, K Willcox
Computer Methods in Applied Mechanics and Engineering 372, 113433, 2020
1122020
-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems
P Benner, P Goyal, S Gugercin
SIAM Journal on Matrix Analysis and Applications 39 (2), 983-1032, 2018
1112018
Balanced truncation for quadratic-bilinear control systems
P Benner, P Goyal
Advances in Computational Mathematics 50 (4), 1-31, 2024
60*2024
Discovery of nonlinear dynamical systems using a Runge–Kutta inspired dictionary-based sparse regression approach
P Goyal, P Benner
Proceedings of the Royal Society A 478 (2262), 20210883, 2022
532022
Interpolation-based model order reduction for polynomial systems
P Benner, P Goyal
SIAM Journal on Scientific Computing 43 (1), A84-A108, 2021
46*2021
Identification of port-Hamiltonian systems from frequency response data
P Benner, P Goyal, P Van Dooren
Systems & Control Letters 143, 104741, 2020
412020
An artificial neural network for surrogate modeling of stress fields in viscoplastic polycrystalline materials
MS Khorrami, JR Mianroodi, NH Siboni, P Goyal, B Svendsen, P Benner, ...
npj Computational Materials 9 (1), 37, 2023
382023
Time-limited H2-optimal model order reduction
P Goyal, M Redmann
Applied Mathematics and Computation 355, 184-197, 2019
30*2019
Moment‐matching based model reduction for Navier–Stokes type quadratic‐bilinear descriptor systems
MI Ahmad, P Benner, P Goyal, J Heiland
ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte …, 2017
30*2017
Krylov subspace-based model reduction for a class of bilinear descriptor systems
MI Ahmad, P Benner, P Goyal
Journal of Computational and Applied Mathematics 315, 303-318, 2017
292017
Operator inference and physics-informed learning of low-dimensional models for incompressible flows
P Benner, P Goyal, J Heiland, IP Duff
arXiv preprint arXiv:2010.06701, 2020
272020
Gramians, energy functionals, and balanced truncation for linear dynamical systems with quadratic outputs
P Benner, P Goyal, IP Duff
IEEE Transactions on Automatic Control 67 (2), 886-893, 2021
252021
Truncated Gramians for bilinear systems and their advantages in model order reduction
P Benner, P Goyal, M Redmann
Model reduction of parametrized systems, 285-300, 2017
252017
Learning reduced‐order dynamics for parametrized shallow water equations from data
S Yıldız, P Goyal, P Benner, B Karasözen
International Journal for Numerical Methods in Fluids 93 (8), 2803-2821, 2021
242021
POD-DEIM for efficient reduction of a dynamic 2D catalytic reactor model
J Bremer, P Goyal, L Feng, P Benner, K Sundmacher
Computers & Chemical Engineering 106, 777-784, 2017
232017
Balanced truncation for a special class of bilinear descriptor systems
IP Duff, P Goyal, P Benner
IEEE Control Systems Letters 3 (3), 535-540, 2019
172019
Neural ordinary differential equations with irregular and noisy data
P Goyal, P Benner
Royal Society Open Science 10 (7), 221475, 2023
16*2023
Tomographic X-ray scattering based on invariant reconstruction: analysis of the 3D nanostructure of bovine bone
P De Falco, R Weinkamer, W Wagermaier, C Li, T Snow, NJ Terrill, ...
Journal of Applied Crystallography 54 (2), 486-497, 2021
162021
Identification of dominant subspaces for model reduction of structured parametric systems
P Benner, P Goyal, I Pontes Duff
International Journal for Numerical Methods in Engineering 125 (15), e7496, 2024
152024
Guaranteed stable quadratic models and their applications in SINDy and operator inference
P Goyal, IP Duff, P Benner
arXiv preprint arXiv:2308.13819, 2023
152023
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