Melvin Leok

According to our database1, Melvin Leok authored at least 46 papers between 2006 and 2021.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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PhD thesis 
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Links

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Bibliography

2021
Adaptive Hamiltonian Variational Integrators and Applications to Symplectic Accelerated Optimization.
SIAM J. Sci. Comput., 2021

Accelerated Optimization on Riemannian Manifolds via Discrete Constrained Variational Integrators.
CoRR, 2021

Variational Structures in Cochain Projection Based Variational Discretizations of Lagrangian PDEs.
CoRR, 2021

Multisymplectic Hamiltonian Variational Integrators.
CoRR, 2021

2019
Geometric exponential integrators.
J. Comput. Phys., 2019

Variational Discretizations of Gauge Field Theories Using Group-Equivariant Interpolation.
Found. Comput. Math., 2019

2018
Embedding-Based Interpolation on the Special Orthogonal Group.
SIAM J. Sci. Comput., 2018

High-Order Retractions on Matrix Manifolds Using Projected Polynomials.
SIAM J. Matrix Anal. Appl., 2018

Interpolation on Symmetric Spaces Via the Generalized Polar Decomposition.
Found. Comput. Math., 2018

2017
Iterative Computation of the Fréchet Derivative of the Polar Decomposition.
SIAM J. Matrix Anal. Appl., 2017

Variational Integrators for Interconnected Lagrange-Dirac Systems.
J. Nonlinear Sci., 2017

Spectral-collocation variational integrators.
J. Comput. Phys., 2017

Spectral variational integrators for semi-discrete Hamiltonian wave equations.
J. Comput. Appl. Math., 2017

Lie Group Spectral Variational Integrators.
Found. Comput. Math., 2017

Connecting Information Geometry and Geometric Mechanics.
Entropy, 2017

2015
Spectral variational integrators.
Numerische Mathematik, 2015

A novel variational formulation for thermoelastic problems.
Commun. Nonlinear Sci. Numer. Simul., 2015

Global formulations of Lagrangian and Hamiltonian mechanics on two-spheres.
Proceedings of the 54th IEEE Conference on Decision and Control, 2015

2014
A Novel Formulation of Point Vortex Dynamics on the Sphere: Geometrical and Numerical Aspects.
J. Nonlinear Sci., 2014

2012
Hamel's formalism and variational integrators on a sphere.
Proceedings of the 51th IEEE Conference on Decision and Control, 2012

Dynamics and control of a chain pendulum on a cart.
Proceedings of the 51th IEEE Conference on Decision and Control, 2012

Nonlinear robust tracking control of a quadrotor UAV on SE(3).
Proceedings of the American Control Conference, 2012

2011
Discrete Hamilton-Jacobi Theory.
SIAM J. Control. Optim., 2011

Nonlinear Dynamics of the 3D Pendulum.
J. Nonlinear Sci., 2011

Variational and Geometric Structures of Discrete Dirac Mechanics.
Found. Comput. Math., 2011

Stable manifolds of saddle equilibria for pendulum dynamics on S<sup>2</sup> and SO(3).
Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, 2011

Geometric numerical integration for complex dynamics of tethered spacecraft.
Proceedings of the American Control Conference, 2011

2010
Control of Complex Maneuvers for a Quadrotor UAV using Geometric Methods on SE(3).
CoRR, 2010

Stokes-Dirac structures through reduction of infinite-dimensional Dirac structures.
Proceedings of the 49th IEEE Conference on Decision and Control, 2010

Discrete Hamilton-Jacobi theory and discrete optimal control.
Proceedings of the 49th IEEE Conference on Decision and Control, 2010

Geometric tracking control of a quadrotor UAV on SE(3).
Proceedings of the 49th IEEE Conference on Decision and Control, 2010

2009
Discrete Control Systems.
Proceedings of the Encyclopedia of Complexity and Systems Science, 2009

Dynamics of a 3D elastic string pendulum.
Proceedings of the 48th IEEE Conference on Decision and Control, 2009

Dynamics of connected rigid bodies in a perfect fluid.
Proceedings of the American Control Conference, 2009

2008
Global optimal attitude estimation using uncertainty ellipsoids.
Syst. Control. Lett., 2008

Computational Geometric Optimal Control of Rigid Bodies.
Commun. Inf. Syst., 2008

Global symplectic uncertainty propagation on SO(3).
Proceedings of the 47th IEEE Conference on Decision and Control, 2008

Time optimal attitude control for a rigid body.
Proceedings of the American Control Conference, 2008

2007
A combinatorial optimal control problem for spacecraft formation reconfiguration.
Proceedings of the 46th IEEE Conference on Decision and Control, 2007

Propagation of uncertainty in rigid body attitude flows.
Proceedings of the 46th IEEE Conference on Decision and Control, 2007

Optimal Attitude Control for a Rigid Body with Symmetry.
Proceedings of the American Control Conference, 2007

Global Attitude Estimation using Single Direction Measurements.
Proceedings of the American Control Conference, 2007

2006
Deterministic Global Attitude Estimation.
Proceedings of the 45th IEEE Conference on Decision and Control, 2006

Optimal Control of a Rigid Body using Geometrically Exact Computations on SE(3).
Proceedings of the 45th IEEE Conference on Decision and Control, 2006

A Discrete Variational Integrator for Optimal Control Problems on SO(3).
Proceedings of the 45th IEEE Conference on Decision and Control, 2006

Controlled Lagrangians and Potential Shaping for Stabilization of Discrete Mechanical Systems.
Proceedings of the 45th IEEE Conference on Decision and Control, 2006


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