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Symplectic Model Order Reduction with Non-Orthonormal Bases
- Patrick Buchfink, A. Bhatt, B. Haasdonk
- MathematicsMathematical and Computational Applications
- 27 February 2019
Parametric high-fidelity simulations are of interest for a wide range of applications. However, the restriction of computational resources renders such models to be inapplicable in a real-time…
Second Order Conformal Symplectic Schemes for Damped Hamiltonian Systems
- A. Bhatt, Dwayne Floyd, Brian E. Moore
- MathematicsJ. Sci. Comput.
- 1 March 2016
TLDR
Structure-preserving Exponential Runge-Kutta Methods
- A. Bhatt, Brian E. Moore
- Mathematics, Computer ScienceSIAM J. Sci. Comput.
- 13 April 2017
TLDR
Modified Particle Swarm Optimization based Path Planning for Multi-Uav Formation
- Ankur Patley, A. Bhatt, Arnab Maity, K. Das, Shashi Ranjan Kumar
- Computer ScienceAIAA Scitech Forum
- 7 January 2019
MULTIPLE SCALES AND ENERGY ANALYSIS OF COUPLED RAYLEIGH-VAN DER POL OSCILLATORS WITH TIME-DELAYED DISPLACEMENT AND VELOCITY FEEDBACK: HOPF BIFURCATIONS AND AMPLITUDE DEATH
- Gizem S. Oztepe, S. Choudhury, A. Bhatt
- Mathematics, Physics
- 15 June 2015
In this paper, two classes of techniques, based on multiple scales perturbation analysis and the averaged energy (or Lyapunov function) method, are employed to investigate interesting nonlinear…
Exponential integrators preserving local conservation laws of PDEs with time-dependent damping/driving forces
- A. Bhatt, Brian E. Moore
- MathematicsJ. Comput. Appl. Math.
- 6 April 2018
A Sensitivity Study of Error Estimation in Reduced Elastic Multibody Systems
- J. Fehr, D. Grunert, A. Bhatt, B. Haasdonk
- Computer Science, Mathematics
- 2018
Symplectic Model-Reduction with a Weighted Inner Product
- Babak Maboudi Afkham, A. Bhatt, B. Haasdonk, J. Hesthaven
- Mathematics
- 1 March 2018
In the recent years, considerable attention has been paid to preserving structures and invariants in reduced basis methods, in order to enhance the stability and robustness of the reduced system. In…
Error Estimation for the Simulation of Elastic Multibody Systems
- J. Fehr, D. Grunert, A. Bhatt, B. Haasdonk
- Computer SciencePAMM
- 1 December 2018
TLDR
Model Order Reduction of an Elastic Body Under Large Rigid Motion
- A. Bhatt, J. Fehr, B. Haasdonk
- EngineeringLecture Notes in Computational Science and…
- 25 September 2017
A parametrized equation of motion in the absolute coordinate formulation is derived for an elastic body with large rigid motion using continuum mechanics. The resulting PDE is then discretized using…
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