Publications
Preprints
H. Sharma, B. Kramer, "Preserving Lagrangian structure in data-driven reduced-order modeling of large-scale mechanical systems", arXiv:2203.06361. [Download]
H. Sharma, M. Patil, C. Woolsey, "Hermite-based, One-step, Variational and Galerkin Time Integrators for Mechanical Systems", arXiv:2201.07327. [Download]
Journal Papers
H. Sharma, H. Mu, P. Buchfink, R. Geelen, S. Glas, B. Kramer, "Symplectic model reduction of Hamiltonian systems using data-driven quadratic manifolds", Computer Methods in Applied Mechanics and Engineering, Volume 417, 2023, 116402. [Download]
H. Sharma, J. Borggaard, M. Patil, C. Woolsey, "Performance Assessment of Energy-preserving, Adaptive Time-step Variational Integrators", Communications in Nonlinear Science and Numerical Simulation, Volume 114, 2022, 106646. [Download]
H. Sharma, Z. Wang, B. Kramer, "Hamiltonian operator inference: Physics-preserving learning of reduced-order models for canonical Hamiltonian systems", Physica D: Nonlinear Phenomena, Volume 431, 2022, 133122. [Download]Â
H. Sharma, M. Patil, C. Woolsey, "A review of structure-preserving numerical methods for engineering applications", Computer Methods in Applied Mechanics and Engineering, Volume 366, 2020, 113067. [Download]
H. Sharma, M. Patil, C. Woolsey, "Energy-preserving variational integrators for forced Lagrangian systems", Communications in Nonlinear Science and Numerical Simulation, Volume 64, 2018, pp. 159-177. [Download]
Peer-reviewed Conference Papers
H. Sharma, N. Galioto, A. Gorodetsky, B. Kramer, "Bayesian Identification of Nonseparable Hamiltonian Systems Using Stochastic Dynamic Models", 2022 IEEE 61st Conference on Decision and Control (CDC), 2022, pp. 6742-6749. [Download]
H. Sharma, T. Lee, M. Patil, C. Woolsey, "Symplectic Accelerated Optimization on SO(3) with Lie Group Variational Integrators", 2020 American Control Conference (ACC), 2020, pp. 2826-2831. [Download]
H. Sharma, M. Patil, C. Woolsey, "Energy-preserving, Adaptive Time-Step Lie Group Variational Integrators for Rigid Body Motion in SE(3)", 2019 IEEE 58th Conference on Decision and Control (CDC), 2019, pp. 8079-8084. [Download]
H. Sharma, T. Lee, "Energy-preserving, Adaptive Time-Step Lie Group Variational Integrators for the Attitude Dynamics of a Rigid Body", 2019 American Control Conference (ACC), 2019, pp. 5487-5492. [Download]