MELVIN LEOK THESIS

This “Cited by” count includes citations to the following articles in Scholar. Discrete connections on principal bundles are obtained by introducing the discrete Atiyah sequence, and considering splittings of the sequence. Mathematical and General 20 14 , , Citation Leok, Melvin Foundations of computational geometric mechanics. Journal of Dynamical and Control Systems 15 3 , , Adrian Sandu Virginia Tech Verified email at vt.

A Caltech Library Service. Adrian Sandu Virginia Tech Verified email at vt. Discrete connections provide an intrinsic coordinatization of the reduced discrete space, and the necessary discrete geometry to develop more general discrete symmetry reduction techniques. Discrete notions of differential forms, exterior derivatives, Hodge stars, codifferentials, sharps, flats, wedge products, contraction, Lie derivative, and the Poincar? The following articles are merged in Scholar. Their combined citations are counted only for the first article.

Get my own profile Cited by Thezis all All Since Citations h-index 27 19 iindex 61 Articles Cited by Co-authors. This “Cited by” count includes citations to the following articles in Scholar.

Foundations of computational geometric mechanics – CaltechTHESIS

No commercial reproduction, distribution, display or performance rights in this work are provided. Geometric mechanics involves the study of Lagrangian and Hamiltonian mechanics using geometric and symmetry techniques. Leok, Melvin Foundations of computational geometric mechanics.

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melvin leok thesis

The system can’t perform the operation now. Their combined citations are counted only for the first article. Discrete notions of differential forms, exterior derivatives, Hodge stars, codifferentials, sharps, flats, wedge products, contraction, Lie derivative, and the Poincar?

Melvin Leok

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melvin leok thesis

Foundations of computational geometric mechanics. Citation Leok, Melvin Foundations of computational geometric mechanics.

Celestial Mechanics and Dynamical Astronomy 98 2, New citations to this author. The following articles are thesiz in Scholar. More information and software credits. In examples such as harmonic maps and electromagnetism, discretizations arising from discrete exterior calculus commute with taking variations in Hamilton’s principle, which implies that directly discretizing these equations yield numerical schemes that have the structure-preserving properties associated with variational schemes.

A Caltech Library Service. Generalized Galerkin variational integrators are obtained by discretizing the action integral through appropriate choices of finite-dimensional function space and numerical quadrature.

Melvin Leok – Google Scholar Citations

Scheeres University of Colorado Verified email at colorado. Adrian Sandu Virginia Tech Verified email at leko. Mathematical and General 39 19, Mathematical and General 20 14, Equivalent representations of a discrete connection are considered, and an extension of the pair groupoid composition that takes into account the principal bundle structure is introduced. Proceedings of the American Control Conference, Discrete connections on principal bundles are obtained by introducing the discrete Atiyah sequence, and considering splittings of the sequence.

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New perspective on the U n Wigner-Racah calculus.

melvin leok thesis

Journal of Dynamical and Control Systems 15 3, Computational algorithms obtained from a discrete Hamilton’s principle yield a discrete analogue of Lagrangian mechanics, and they exhibit excellent structure-preserving properties that can be ascribed to their variational derivation. We construct discrete analogues of the geometric and symmetry methods underlying geometric mechanics to enable the systematic development of computational geometric mechanics.

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Foundations of computational geometric mechanics

Computer Methods in Applied Mechanics and Engineering, Discrete exterior calculus is modeled on a primal simplicial complex, and a dual circumcentric cell complex. Email address for updates. Journal of Dynamical and Control Systems 14 4,