Publications

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]

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] 

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]

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]