Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 8 of 8 for “"Hamilton-Jacobi Equations"”.
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Stochastic Homogenization of Nonconvex Hamilton-Jacobi Equations in One Dimension
Hamilton-Jacobi equations are a class of partial differential equations that arise in many areas of science and engineering. Originating from classical mechanics, they are widely used in various fields such as optimal control theory, quantitative finance, and game theory. Stochastic homogenization …
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Existence of expansive solutions and Hamilton-Jacobi equations for the N-body problem
L'abstract è presente nell'allegato / the abstract is in the attachment
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A factorization approach for solving the Hamilton-Jacobi equations in nonlinear optimal control
The Hamilton-Jacobi equation (HJE) arose early in the last century in the study of the calculus of variation, classical mechanics and Hamiltonian systems. Recently, there has been a renewed interest in HJEs arising in various analysis and synthesis problems in systems theory. The HJE despite …
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A WENO finite difference scheme for a new class of Hamilton-Jacobi equations in electroelastostatics
"Hamilton-Jacobi equations have repeatedly emerged in many fields of physics, most notably, optimal control, differential games, geometric optics, and image processing. This thesis presents a new numerical method to solve a new class of Hamilton-Jacobi equation that has recently appeared in the …
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Modeling Collective Behavior of Dislocations in Crystalline Materials
… to a symmetric and well-conditioned system of equations with constant coefficients, making it attractive for large-scale problems. It is shown that the evolution equation simplifies to the Hamilton-Jacobi equations governing geometric optics and level set methods in the following physical …
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Energy optimal path planning using stochastic dynamically orthogonal level set equations
… new Dynamically Orthogonal Level Set Field equations. We then carefully present different approaches to handle the non-polynomial non-linearity in the stochastic Level Set Hamilton-Jacobi equations and also discuss the computational efficiency of the algorithm. We then illustrate the …
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Shortest Path Problems: Domain Restriction, Anytime Planning, and Multi-objective Optimization
… approximate the viscosity solution to a static Hamilton-Jacobi PDE. Such paths can be viewed as characteristics of static Hamilton-Jacobi equations, so we restrict the computations to a neighborhood of the characteristic. We explain how heuristic under/over-estimate functions can be used to …
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Fast Sweeping Methods for Steady State Hyperbolic Conservation Problems and Numerical Applications for Shape Optimization and Computational Cell Biology
… originally designed for solving stationary Hamilton-Jacobi equations. Their efficiency relies on Gauss-Seidel type nonlinear iterations, and a finite number of sweeping directions. We generalize the fast sweeping methods to hyperbolic conservation laws with source terms. The algorithm is …