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hamilton-jacobi

Efficient algorithms for solving static Hamilton Jacobi equations

Efficient algorithms for solving static Hamilton Jacobi equations

... Efficient Algorithms for Solving Static Hamilton Jacobi Equations Efficient Algorithms for Solving Static Hamilton Jacobi Equations Thesis by Sean Mauch In Partial Fulfillment of the Requirements for[.] ...

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Some non monotone schemes for Hamilton-Jacobi-Bellman equations

Some non monotone schemes for Hamilton-Jacobi-Bellman equations

... order Hamilton-Jacobi equations for examples in [2, 23] or in [22] using spectral methods on a periodic ...order Hamilton-Jacobi-Bellman equation, some non monotone explicit schemes were ...

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Estimates for multiple stochastic integrals and stochastic Hamilton Jacobi equations

Estimates for multiple stochastic integrals and stochastic Hamilton Jacobi equations

... was considered, convergence of the series from perturbations theory proved, and necessary estimates for multiple integrals obtained. Multiple stochastic integrals with respect to general semimartingales or infinitely ...

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An exact viscosity solution to a Hamilton–Jacobi–Bellman quasi-variational inequality for animal population management

An exact viscosity solution to a Hamilton–Jacobi–Bellman quasi-variational inequality for animal population management

... a HamiltonJacobi–Bellman quasi-variational ...the HamiltonJacobi–Bellman quasi-variational inequality has not been investigated, which are thus addressed in this ...the ...

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Homogenization of monotone systems of non coercive Hamilton Jacobi Equations

Homogenization of monotone systems of non coercive Hamilton Jacobi Equations

... In this article, we study homogenization for a class of monotone systems of first-order time- dependent Hamilton-Jacobi equations in the case of non-coercive Hamiltonians. And we prove the uniform ...

16

On the Connection between the Hamilton Jacobi Bellman and the Fokker Planck Control Frameworks

On the Connection between the Hamilton Jacobi Bellman and the Fokker Planck Control Frameworks

... In the framework of stochastic processes, the connection between the dynamic programming scheme given by the Hamilton-Jacobi-Bellman equation and a recently proposed control approach based on the ...

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Parallel solutions of static Hamilton-Jacobi equations for simulations of geological folds

Parallel solutions of static Hamilton-Jacobi equations for simulations of geological folds

... static Hamilton-Jacobi equations are nonlinear, and the compu- tations needed for updating the solution in a grid node are expensive in terms of both floating-point operations and logical ...

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Constraints on holographic multifield inflation and models based on the Hamilton-Jacobi formalism

Constraints on holographic multifield inflation and models based on the Hamilton-Jacobi formalism

... (Received 1 October 2018; revised manuscript received 28 March 2019; published 13 May 2019) In holographic inflation, the 4D cosmological dynamics is postulated to be dual to the renormalization group flow of a 3D ...

7

ON THE STRUCTURE OF THE SINGULAR SET OF A PIECEWISE SMOOTH MINIMAX SOLUTION OF THE HAMILTON–JACOBI–BELLMAN EQUATION

ON THE STRUCTURE OF THE SINGULAR SET OF A PIECEWISE SMOOTH MINIMAX SOLUTION OF THE HAMILTON–JACOBI–BELLMAN EQUATION

... Another work deserves special attention. It is the monograph P. Cannarsa and C. Sinestari [7]. The authors study solutions of the HamiltonJacobi–Bellman equation in the class of semiconvex or semiconcave ...

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Correcting curvature-density effects in the Hamilton-Jacobi skeleton

Correcting curvature-density effects in the Hamilton-Jacobi skeleton

... boundary. The value of the flux through an area that does not contain any section of the skeleton is, in general, an order of magnitude smaller than the value calculated over an area that contains a skeletal branch. ...

16

Computation of nonclassical solutions to Hamilton-Jacobi problems

Computation of nonclassical solutions to Hamilton-Jacobi problems

... mation of nonclassical solutions to multidimensional Hamilton-Jacobi equations, for both scalar and vectorial problems. Recent theoretical results have yielded existence of solutions in many cases for which ...

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On a system of Hamilton Jacobi Bellman inequalities associated to a minimax   problem with additive final cost

On a system of Hamilton Jacobi Bellman inequalities associated to a minimax problem with additive final cost

... We study a minimax optimal control problem with finite horizon and additive final cost. After introducing an auxiliary problem, we analyze the dynamical program- ming principle (DPP) and we present a ...

22

Hamilton Jacobi equations on an evolving surface

Hamilton Jacobi equations on an evolving surface

... Abstract. We consider the well-posedness and numerical approximation of a HamiltonJacobi equation on an evolving hypersurface in R 3 . Definitions of viscosity sub- and supersolutions are extended in a ...

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Solving the Hamilton-Jacobi-Bellman Equation for Animation

Solving the Hamilton-Jacobi-Bellman Equation for Animation

... This thesis addresses the construction of a practical method for solving the Hamilton-Jacobi- Bellman (HJB) equation for the purpose of computer animation. Solutions of the HJB e[r] ...

181

Computation of nonclassical solutions to Hamilton-Jacobi problems

Computation of nonclassical solutions to Hamilton-Jacobi problems

... Abstract. This paper is devoted to the construction of numerical methods for the approximation of nonclassical solutions to multidimensional HamiltonJacobi equations for both scalar and vectorial problems. ...

20

On viscosity solution of Hamilton-Jacobi-Belman equations

On viscosity solution of Hamilton-Jacobi-Belman equations

... The paper deals with an optimal control problem governed by a state equation which involves evolution inclusions. These inclusions are formulated through time-dependent maximal monotone operators and the control variable ...

8

Duality methods for the study of Hamilton–Jacobi equations

Duality methods for the study of Hamilton–Jacobi equations

... Many problems of applied mathematics can be solved because one uses useful transforms as a tool. Among these transforms are the Fourier transform, the Laplace transform, the Radon and Cramer transforms. The benefit of ...

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A discontinuous Galerkin moving mesh method for Hamilton-Jacobi equations

A discontinuous Galerkin moving mesh method for Hamilton-Jacobi equations

... Redistribution subject to SIAM license or copyright; see http://www.siam.org/journals/ojsa.php MOVING MESH DG METHOD FOR HJ EQUATIONS 2259 [11] proposed a DG method to solve HJ equations[r] ...

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Differential equation based specification of turbulence integral length scales for cavity flows

Differential equation based specification of turbulence integral length scales for cavity flows

... Figure 1 illustrates the process chain. First an initial run of the geometry of interest is performed to solve the Poisson equation (5). This provides a local cavity length scale equal to the local cavity width. Next the ...

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Large time behavior of solutions for the porous medium equation with a nonlinear gradient source

Large time behavior of solutions for the porous medium equation with a nonlinear gradient source

... Equation (.) arises in the study of the growth of surfaces and it has been considered as a mathematical model for a variety of physical problems (see [, ]). For instance, in ballistic deposition processes, the ...

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