Results 31 to 40 of about 9,739 (169)

A higher order frozen Jacobian iterative method for solving Hamilton-Jacobi equations

, 2016
It is well-known that the solution of Hamilton-Jacobi equation may have singularity i.e., the solution is non-smooth or nearly non-smooth. We construct a frozen Jacobian multi-step iterative method for solving Hamilton-Jacobi equation under the ...
Younas, Arshad M. M., Eman S. Al-Aidarous, Arshad M. M. Younas, Ahmad, Shamshad, Ebraheem O. Alzahrani, Ahmad, Shahid, Alaidarous, Eman, Fayyaz Ahmad, Alzahrani, Ebraheem O., Ahmad, Fayyaz, Shamshad Ahmad, Shahid Ahmad   +11 more
core   +2 more sources

On the geometric structure of characteristic vector fields related with nonlinear equations of the Hamilton-Jacobi type [PDF]

Opuscula Mathematica, 2007
The Cartan-Monge geometric approach to the characteristics method for Hamilton-Jacobi type equations and nonlinear partial differential equations of higher orders is analyzed.
Natalia K. Prykarpatska, Eugeniusz Wachnicki   +1 more
doaj  

Optimal control of the propagation of a graph in inhomogeneous media [PDF]

, 2009
We study an optimal control problem for viscosity solutions of a Hamilton–Jacobi equation describing the propagation of a one-dimensional graph with the control being the speed function.
Deckelnick, Klaus, Vanessa Styles (4460662), Charles M Elliott (16060877), Styles, Vanessa, Klaus Deckelnick (16038425), Elliott, Charles M.   +5 more
core   +1 more source

Hamilton-Jacobi Method for Mechanical Systems on Time Scales

Complexity, 2018
This paper presents the Hamilton-Jacobi method for integrating the equations of motion of mechanical systems on time scales. We give the criterion and four basic forms of canonical transformation on time scales.
Xiang-Hua Zhai, Yi Zhang
doaj   +1 more source

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   +1 more source

A direct approach to linear-quadratic stochastic control [PDF]

Opuscula Mathematica, 2017
A direct approach is used to solve some linear-quadratic stochastic control problems for Brownian motion and other noise processes. This direct method does not require solving Hamilton-Jacobi-Bellman partial differential equations or backward stochastic ...
Tyrone E. Duncan, Bozenna Pasik-Duncan
doaj   +1 more source

A discontinuous Galerkin moving mesh method for Hamilton-Jacobi equations

, 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   +1 more source

Hamilton-Jacobi equations [PDF]

, 2015
Voce in ...
Cristiani, E.
  +6 more sources

The Dual Hamilton–Jacobi Equation and the Poincaré Inequality

Mathematics
Following the equivalence between logarithmic Sobolev inequalities and hypercontractivity shown by L. Gross, and applying the ideas and methods of the work by Bobkov, Gentil and Ledoux, we would like to establish a new connection between the logarithmic ...
Rigao He, Wei Wang, Jianglin Fang, Yuanlin Li   +3 more
doaj   +1 more source

Minimal Length Effects on Tunnelling from Spherically Symmetric Black Holes

Advances in High Energy Physics, 2015
We investigate effects of the minimal length on quantum tunnelling from spherically symmetric black holes using the Hamilton-Jacobi method incorporating the minimal length.
Benrong Mu, Peng Wang, Haitang Yang
doaj   +1 more source