Results 11 to 20 of about 5,678,356 (168)

A Discrete Hamilton–Jacobi Theory for Contact Hamiltonian Dynamics

Mathematics
In this paper, we propose a discrete Hamilton–Jacobi theory for (discrete) Hamiltonian dynamics defined on a (discrete) contact manifold. To this end, we first provide a novel geometric Hamilton–Jacobi theory for continuous contact Hamiltonian dynamics ...
Oğul Esen, Cristina Sardón, Marcin Zajac   +2 more
doaj   +2 more sources

Hamilton-Jacobi Theory and Moving Frames [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2007
The interplay between the Hamilton-Jacobi theory of orthogonal separation of variables and the theory of group actions is investigated based on concrete examples.
Joshua D. MacArthur, Raymond G. McLenaghan, Roman G. Smirnov   +2 more
doaj   +1 more source

A discontinuous Galerkin moving mesh method for Hamilton-Jacobi equations [PDF]

, 2007
In this paper we consider the numerical solution of first-order Hamilton-Jacobi equations using the combination of a discontinuous Galerkin finite element method and an adaptive $r$-refinement (mesh movement) strategy.
MacKenzie, John, Nicola, Aurelian
core   +4 more sources

Nonholonomic and Discrete Hamilton-Jacobi Theory. [PDF]

The first part of the thesis discusses an extension of Hamilton-Jacobi theory to nonholonomic mechanics with a particular interest in its application to exactly integrating the equations of motion. The major advantage of our result is that it provides us
Ohsawa, Tomoki
core   +7 more sources

Estimates for multiple stochastic integrals and stochastic Hamilton-Jacobi equations [PDF]

, 2004
We study stochastic Hamilton-Jacobi-Bellman equations and the corresponding Hamiltonian systems driven by jump-type Lévy processes. The main objective of the present paper is to show existence, uniqueness and a (locally in time) diffeomorphism ...
Kolokoltsov, V. N. (Vasiliĭ Nikitich), Tyukov, Alexei E., Schilling, René L., Vassili Kolokol'tsov, Alexei Tyukov, Schilling, RL, Tyukov, AE, Tyukov, A.E., Kolokoltsov, VN, Kolokol'tsov, V.N., René Schilling   +10 more
core   +1 more source

An approximation method for the stabilizing solution of the Hamilton-Jacobi equation for integrable systems using Hamiltonian perturbation theory [PDF]

, 2006
In this report, a method for approximating the stabilizing solution of the Hamilton-Jacobi equation for integrable systems is proposed using symplectic geometry and a Hamiltonian perturbation technique.
Sakamoto, Noboru, Sakamoto, N., Sakamoto, Noboru,, van der Schaft, Arjan, Schaft, Arjan J. van der, Noboru Sakamoto, Schaft, Arjan J. van der,, Schaft, Arjan J. van der; id_orcid, van der Schaft, AJ; id_orcid, Arjan J. van der Schaft, van der Schaft, AJ   +10 more
core   +4 more sources

3D Reconstruction of Non-Lambertian Surfaces by Perspective Shape-From-Shading With Fast Viscosity Solution

Frontiers in Physics, 2022
Shape-from-shading (SFS) is an important method to reconstruct three-dimensional (3D) shape of a surface in photometry and computer vision. Lambertian surface reflectance and orthographic camera projection are two fundamental assumptions which generally ...
Guohui Wang, Hao Zheng
doaj   +1 more source

Hamiltonian approach to GR – Part 2: covariant theory of quantum gravity

European Physical Journal C: Particles and Fields, 2017
A non-perturbative quantum field theory of General Relativity is presented which leads to a new realization of the theory of covariant quantum gravity (CQG-theory). The treatment is founded on the recently identified Hamiltonian structure associated with
Claudio Cremaschini, Massimo Tessarotto
doaj   +1 more source

Numerical Construction of Viable Sets for Autonomous Conflict Control Systems

Mathematics, 2014
A conflict control system with state constraints is under consideration. A method for finding viability kernels (the largest subsets of state constraints where the system can be confined) is proposed.
Nikolai Botkin, Varvara Turova
doaj   +1 more source

Some non monotone schemes for Hamilton-Jacobi-Bellman equations [PDF]

ESAIM: Proceedings and Surveys, 2019
We extend the theory of Barles Jakobsen [3] for a class of almost monotone schemes to solve stationary Hamilton Jacobi Bellman equations. We show that the monotonicity of the schemes can be relaxed still leading to the convergence to the viscosity ...
Warin Xavier
doaj   +1 more source