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Melvin Leok, Ph.D. - Publications

Affiliations: 
2004 California Institute of Technology, Pasadena, CA 
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50 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2019 Parks H, Leok M. Constructing equivalence-preserving Dirac variational integrators with forces Ima Journal of Numerical Analysis. 39: 1706-1726. DOI: 10.1093/Imanum/Dry053  0.324
2019 Shen X, Leok M. Geometric exponential integrators Journal of Computational Physics. 382: 27-42. DOI: 10.1016/J.Jcp.2019.01.005  0.449
2019 Leok M. Variational Discretizations of Gauge Field Theories Using Group-Equivariant Interpolation Foundations of Computational Mathematics. 19: 965-989. DOI: 10.1007/S10208-019-09420-4  0.449
2018 Gawlik ES, Leok M. High-Order Retractions on Matrix Manifolds using Projected Polynomials Siam Journal On Matrix Analysis and Applications. 39: 801-828. DOI: 10.1137/17M1130459  0.308
2018 Gawlik ES, Leok M. Embedding-Based Interpolation on the Special Orthogonal Group Siam Journal On Scientific Computing. 40. DOI: 10.1137/17M1129416  0.32
2018 Schmitt JM, Leok M. Properties of Hamiltonian variational integrators Ima Journal of Numerical Analysis. 38: 377-398. DOI: 10.1093/Imanum/Drx010  0.447
2018 Li Y, Wu B, Leok M. Construction and comparison of multidimensional spectral variational integrators and spectral collocation methods Applied Numerical Mathematics. 132: 35-50. DOI: 10.1016/J.Apnum.2018.05.010  0.434
2018 Schmitt J, Shingel T, Leok M. Lagrangian and Hamiltonian Taylor variational integrators Bit Numerical Mathematics. 58: 457-488. DOI: 10.1007/S10543-017-0690-9  0.367
2018 Gawlik ES, Leok M. Interpolation on Symmetric Spaces Via the Generalized Polar Decomposition Foundations of Computational Mathematics. 18: 757-788. DOI: 10.1007/S10208-017-9353-0  0.351
2017 Leok M, Zhang J. Connecting Information Geometry and Geometric Mechanics Entropy. 19: 518. DOI: 10.3390/E19100518  0.303
2017 Li Y, Wu B, Leok M. Spectral-collocation variational integrators Journal of Computational Physics. 332: 83-98. DOI: 10.1016/J.Jcp.2016.12.007  0.45
2017 Li Y, Wu B, Leok M. Spectral variational integrators for semi-discrete Hamiltonian wave equations Journal of Computational and Applied Mathematics. 325: 56-73. DOI: 10.1016/J.Cam.2017.04.043  0.439
2017 Parks H, Leok M. Variational Integrators for Interconnected Lagrange–Dirac Systems Journal of Nonlinear Science. 27: 1399-1434. DOI: 10.1007/S00332-017-9364-7  0.42
2015 Ebrahimzadeh Z, Leok M, Mahzoon M. A novel variational formulation for thermoelastic problems Communications in Nonlinear Science and Numerical Simulation. 22: 263-268. DOI: 10.1016/J.Cnsns.2014.09.027  0.38
2015 Hall J, Leok M. Lie Group Spectral Variational Integrators Foundations of Computational Mathematics. DOI: 10.1007/S10208-015-9287-3  0.43
2014 Lee T, Leok M, Harris McClamroch N. High-fidelity numerical simulation of complex dynamics of tethered spacecraft Acta Astronautica. 99: 215-230. DOI: 10.1016/J.Actaastro.2014.02.021  0.387
2014 Vankerschaver J, Leok M. A novel formulation of point vortex dynamics on the sphere: Geometrical and numerical aspects Journal of Nonlinear Science. 24: 1-37. DOI: 10.1007/S00332-013-9182-5  0.436
2014 Hall J, Leok M. Spectral variational integrators Numerische Mathematik. 130: 681-740. DOI: 10.1007/S00211-014-0679-0  0.44
2013 Ohsawa T, Leok M. Symplectic semiclassical wave packet dynamics Journal of Physics a: Mathematical and Theoretical. 46. DOI: 10.1088/1751-8113/46/40/405201  0.376
2013 Vankerschaver J, Liao C, Leok M. Generating functionals and Lagrangian partial differential equations Journal of Mathematical Physics. 54. DOI: 10.1063/1.4817391  0.396
2013 Lee T, Leok M, Mcclamroch NH. Nonlinear robust tracking control of a quadrotor UAV on SE(3) Asian Journal of Control. 15: 391-408. DOI: 10.1002/Asjc.567  0.35
2012 Leok M, Sosa D. Dirac structures and Hamilton-Jacobi theory for Lagrangian mechanics on Lie algebroids Journal of Geometric Mechanics. 4: 421-442. DOI: 10.3934/Jgm.2012.4.421  0.417
2012 Leok M, Shingel T. Prolongation-collocation variational integrators Ima Journal of Numerical Analysis. 32: 1194-1216. DOI: 10.1093/Imanum/Drr042  0.453
2012 Leok M, Ohsawa T, Sosa D. Hamilton-Jacobi theory for degenerate Lagrangian systems with holonomic and nonholonomic constraints Journal of Mathematical Physics. 53. DOI: 10.1063/1.4736733  0.434
2012 Vankerschaver J, Yoshimura H, Leok M. The Hamilton-Pontryagin principle and multi-Dirac structures for classical field theories Journal of Mathematical Physics. 53. DOI: 10.1063/1.4731481  0.377
2012 Leok M, Shingel T. General techniques for constructing variational integrators Frontiers of Mathematics in China. 7: 273-303. DOI: 10.1007/S11464-012-0190-9  0.468
2011 Lee T, Leok M, McClamroch NH. Geometric tracking control of a quadrotor UAV for extreme maneuverability Ifac Proceedings Volumes (Ifac-Papersonline). 18: 6337-6342. DOI: 10.3182/20110828-6-It-1002.03599  0.348
2011 Ohsawa T, Bloch AM, Leok M. Discrete Hamilton-Jacobi theory Siam Journal On Control and Optimization. 49: 1829-1856. DOI: 10.1137/090776822  0.429
2011 Leok M, Zhang J. Discrete Hamiltonian variational integrators Ima Journal of Numerical Analysis. 31: 1497-1532. DOI: 10.1093/Imanum/Drq027  0.492
2011 Vankerschaver J, Yoshimura H, Leok M. On the geometry of multi-Dirac structures and Gerstenhaber algebras Journal of Geometry and Physics. 61: 1415-1425. DOI: 10.1016/J.Geomphys.2011.03.005  0.371
2011 Lee T, Leok M, McClamroch NH. Computational dynamics of a 3D elastic string pendulum attached to a rigid body and an inertially fixed reel mechanism Nonlinear Dynamics. 64: 97-115. DOI: 10.1007/S11071-010-9849-5  0.411
2011 Leok M, Ohsawa T. Variational and Geometric Structures of Discrete Dirac Mechanics Foundations of Computational Mathematics. 11: 529-562. DOI: 10.1007/S10208-011-9096-2  0.489
2011 Chaturvedi NA, Lee T, Leok M, McClamroch NH. Nonlinear dynamics of the 3D pendulum Journal of Nonlinear Science. 21: 3-32. DOI: 10.1007/S00332-010-9078-6  0.327
2011 Lee T, Leok M, McClamroch NH. Geometric numerical integration for complex dynamics of tethered spacecraft Proceedings of the American Control Conference. 1885-1891.  0.332
2010 Bloch AM, Leok M, Marsden JE, Zenkov DV. Controlled lagrangians and stabilization of discrete mechanical systems Discrete and Continuous Dynamical Systems - Series S. 3: 19-36. DOI: 10.3934/Dcdss.2010.3.19  0.587
2010 Vankerschaver J, Yoshimura H, Leok M, Marsden JE. Stokes-Dirac structures through reduction of infinite-dimensional Dirac structures Proceedings of the Ieee Conference On Decision and Control. 6265-6270. DOI: 10.1109/CDC.2010.5717698  0.427
2010 Leok M, Ohsawa T. Discrete Dirac structures and implicit discrete Lagrangian and Hamiltonian systems Aip Conference Proceedings. 1260: 91-102. DOI: 10.1063/1.3479325  0.377
2009 Lee T, Leok M, McClamrochy NH. Dynamics of a 3D elastic string pendulum Proceedings of the Ieee Conference On Decision and Control. 3347-3352. DOI: 10.1109/CDC.2009.5399611  0.31
2009 Bloch AM, Hussein II, Leok M, Sanyal AK. Geometric structure-preserving optimal control of a rigid body Journal of Dynamical and Control Systems. 15: 307-330. DOI: 10.1007/S10883-009-9071-2  0.448
2009 Lee T, Leok M, McClamroch NH. Lagrangian mechanics and variational integrators on two-spheres International Journal For Numerical Methods in Engineering. 79: 1147-1174. DOI: 10.1002/Nme.2603  0.487
2008 Lee T, Leok M, McClamroch NH. Optimal attitude control of a rigid body using geometrically exact computations on SO(3) Journal of Dynamical and Control Systems. 14: 465-487. DOI: 10.1007/S10883-008-9047-7  0.379
2007 Lee T, Leok M, McClamroch NH. Lie group variational integrators for the full body problem Computer Methods in Applied Mechanics and Engineering. 196: 2907-2924. DOI: 10.1016/J.Cma.2007.01.017  0.414
2007 Lee T, Leok M, McClamroch NH. Lie group variational integrators for the full body problem in orbital mechanics Celestial Mechanics and Dynamical Astronomy. 98: 121-144. DOI: 10.1007/S10569-007-9073-X  0.43
2007 Bloch AM, Leok M, Marsden JE, Zenkov DV. Matching and stabilization of discrete mechanical systems Pamm. 7: 1030603-1030604. DOI: 10.1002/Pamm.200700390  0.577
2006 Jalnapurkar SM, Leok M, Marsden JE, West M. Discrete Routh reduction Journal of Physics a: Mathematical and General. 39: 5521-5544. DOI: 10.1088/0305-4470/39/19/S12  0.649
2006 Bloch AM, Leok M, Marsden JE, Zenkov DV. Controlled Lagrangians and potential shaping for stabilization of discrete mechanical systems Proceedings of the Ieee Conference On Decision and Control. 3333-3338.  0.562
2006 Fahnestock EG, Lee T, Leok M, McClamroch NH, Scheeres DJ. Polyhedral potential and variational integrator computation of the full two body problem Collection of Technical Papers - Aiaa/Aas Astrodynamics Specialist Conference, 2006. 1: 644-660.  0.314
2006 Hussein II, Leok M, Sanyal AK, Bloch AM. A discrete variational integrator for optimal control problems on SO(3) Proceedings of the Ieee Conference On Decision and Control. 6636-6641.  0.369
2005 Bloch AM, Leok M, Marsden JE, Zenkov DV. Controlled Lagrangians and stabilization of the discrete cart-pendulum system Proceedings of the 44th Ieee Conference On Decision and Control, and the European Control Conference, Cdc-Ecc '05. 2005: 6579-6584. DOI: 10.1109/CDC.2005.1583218  0.516
2005 Desbrun M, Leok M, Marsden JE. Discrete Poincaré lemma Applied Numerical Mathematics. 53: 231-248. DOI: 10.1016/J.Apnum.2004.09.035  0.472
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