L1‐type smoothness indicators based weighted essentially nonoscillatory scheme for Hamilton‐Jacobi equations
Sign Up to like & getrecommendations! Published in 2020 at "International Journal for Numerical Methods in Fluids"
DOI: 10.1002/fld.4855
Abstract: This article presents an improved fifth‐order finite difference weighted essentially nonoscillatory (WENO) scheme to solve Hamilton‐Jacobi equations. A new type of nonlinear weights is introduced with the construction of local smoothness indicators on each local… read more here.
Keywords: essentially nonoscillatory; jacobi equations; weighted essentially; hamilton jacobi ... See more keywords
Hamilton-Jacobi approach to holographic renormalization of massive gravity
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DOI: 10.1007/jhep07(2019)072
Abstract: A bstractRecently, a practical approach to holographic renormalization has been developed based on the Hamilton-Jacobi formulation. Using a simple Einstein-scalar theory, we clarify that this approach does not conflict with the Hamiltonian constraint as it… read more here.
Keywords: approach holographic; approach; gravity; holographic renormalization ... See more keywords
An iterative computational scheme for solving the coupled Hamilton–Jacobi–Isaacs equations in nonzero-sum differential games of affine nonlinear systems
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DOI: 10.1007/s10203-017-0184-x
Abstract: In this paper, we present iterative or successive approximation methods for solving the coupled Hamilton–Jacobi–Isaacs equations (HJIEs) arising in nonzero-sum differential game for affine nonlinear systems. We particularly consider the ones arising in mixed $${\mathcal… read more here.
Keywords: solving coupled; nonzero sum; jacobi isaacs; hamilton jacobi ... See more keywords
Dimension-by-dimension moment-based central Hermite WENO schemes for directly solving Hamilton-Jacobi equations
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DOI: 10.1007/s10444-017-9515-2
Abstract: In this paper, a class of high-order central Hermite WENO (HWENO) schemes based on finite volume framework and staggered meshes is proposed for directly solving one- and two-dimensional Hamilton-Jacobi (HJ) equations. The methods involve the… read more here.
Keywords: dimension; central hermite; hermite weno; jacobi equations ... See more keywords
The solution of a modified Hamilton–Jacobi equation with Lorentz-violating scalar field
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DOI: 10.1007/s10714-020-02762-3
Abstract: A modified Hamilton–Jacobi equation with Lorentz-violating scalar field in the curved spacetime is used to research tunneling radiation from the horizons of Reissner–Nordstr $$\ddot{\mathrm{o}}$$ m de Sitter black hole. We investigate the influence of different… read more here.
Keywords: jacobi equation; hamilton jacobi; modified hamilton;
The Tunneling Radiation from Non-Stationary Spherical Symmetry Black Holes and the Hamilton-Jacobi Equation
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DOI: 10.1007/s10773-016-3196-3
Abstract: We derive the Hamilton-Jacobi equation from the Dirac equation, then, with the help of the Hamilton-Jacobi equation, the the tunneling radiation behavior of the non-stationary spherical symmetry de Sitter black hole is discussed, at last,… read more here.
Keywords: tunneling radiation; jacobi equation; stationary spherical; non stationary ... See more keywords
The Fermion Tunneling from a Slowly Varying Charged Black Hole
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DOI: 10.1007/s10773-018-3994-x
Abstract: According to the Dirac equation and the Rarita-Schwinger equation, the Hamilton-Jacobi equation in curved space-time for the spin 1/2 and 3/2 fermions have been derived. Therefore, we find the Hamilton-Jacobi equation is a fundamental equation… read more here.
Keywords: slowly varying; black hole; jacobi equation; equation ... See more keywords
Algorithm for Overcoming the Curse of Dimensionality For Time-Dependent Non-convex Hamilton–Jacobi Equations Arising From Optimal Control and Differential Games Problems
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DOI: 10.1007/s10915-017-0436-5
Abstract: In this paper we develop a parallel method for solving possibly non-convex time-dependent Hamilton–Jacobi equations arising from optimal control and differential game problems. The subproblems are independent so they can be implemented in an embarrassingly… read more here.
Keywords: curse dimensionality; control; time; jacobi equations ... See more keywords
An Alternative Formulation of Discontinous Galerkin Schemes for Solving Hamilton–Jacobi Equations
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DOI: 10.1007/s10915-018-0794-7
Abstract: The aim of this paper is to develop an alternative formulation of discontinuous Galerkin (DG) schemes for approximating the viscosity solutions to nonlinear Hamilton–Jacobi (HJ) equations. The main difficulty in designing DG schemes lies in… read more here.
Keywords: jacobi equations; galerkin schemes; alternative formulation; hamilton jacobi ... See more keywords
Lasry–Lions approximations for discounted Hamilton–Jacobi equations
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DOI: 10.1016/j.jde.2018.03.010
Abstract: We study the Lasry-Lions approximation using the kernel determined by the fundamental solution with respect to a time-dependent Tonelli Lagrangian. This approximation process is also applied to the viscosity solutions of the discounted Hamilton-Jacobi equations. read more here.
Keywords: jacobi equations; discounted hamilton; hamilton jacobi; lasry lions ... See more keywords
Singular optimal controls of stochastic recursive systems and Hamilton–Jacobi–Bellman inequality
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DOI: 10.1016/j.jde.2018.11.006
Abstract: In this paper, we study the optimal singular controls for stochastic recursive systems, in which the control has two components: the regular control, and the singular control. Under certain assumptions, we establish the dynamic programming… read more here.
Keywords: controls stochastic; recursive systems; stochastic recursive; bellman inequality ... See more keywords