Results 1 to 10 of about 16,809 (204)
A kinetic eikonal equation [PDF]
Comptes Rendus. Mathématique, 2012 We analyse the linear kinetic transport equation with a BGK relaxation operator. We study the large scale hyperbolic limit $(t,x)\to (t/\eps,x/\eps)$. We derive a new type of limiting Hamilton-Jacobi equation, which is analogous to the classical eikonal ...
Bouin, Emeric, Calvez, Vincent
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The wave equation: From eikonal to anti-eikonal approximation
Modern Electronic Materials, 2016 When the refractive index changes very slowly compared to the wave-length we may use the eikonal approximation to the wave equation. In the opposite case, when the refractive index highly variates over the distance of one wave-length, we have what can be
Luis Vázquez +2 more
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Computational solutions for Eikonal equation by differential quadrature method
Alexandria Engineering Journal, 2022 This article presents an efficient method to solve of Eikonal equation by the new differential quadrature method. The purpose of this article is to obtain the accuracy and performance method for the Eikonal equation.
Mehrullah Mehr, Davood Rostamy
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On the Subelliptic Eikonal Equation
Bruno Pini Mathematical Analysis Seminar, 2017 On a bounded smooth domain, we consider the viscosity solution of the homogeneous Dirichlet problem for the eikonal equation associated with a system of Hörmander’s vector fields.
Paolo Albano
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Knots, Braids and Hedgehogs from the Eikonal Equation [PDF]
Modern Physics Letters A, 2005 The complex eikonal equation in the three space dimensions is considered. We show that apart from the recently found torus knots this equation can also generate other topological configurations with a non-trivial value of the $\pi_2(S^2)$ index: braided ...
A. WERESZCZYŃSKI +7 more
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Eikonal equations on the Sierpinski gasket [PDF]
Mathematische Annalen, 2014 We study the eikonal equation on the Sierpinski gasket in the spirit of the construction of the Laplacian in Kigami [8]: we consider graph eikonal equations on the prefractals and we show that the solutions of these problems converge to a function ...
Camilli, Fabio +2 more
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Representation Formula for Solutions of Eikonal Type Equations
Nonlinear Analysis, 2001 Equations of an eikonal type ones arise in many areas of applications, including optics, fluid mechanics, material sciences, and control theory. This article investigates the representation formula for semiconcave solutions of the boundary problem for ...
Gintautas Gudynas
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Tug of War games and PDEs on graphs with applications in image and high dimensional data processing. [PDF]
Sci Rep, 2023 The aim of this note is to revisit the connections between some stochastic games, namely Tug-of-War games, and a class of nonlocal PDEs on graphs. We consider a general formulation of Tug-of-War games which is shown to be related to many classical PDEs ...
Ennaji H, Quéau Y, Elmoataz A.
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Methodological derivation of the eikonal equation
Discrete and Continuous Models and Applied Computational Science, 2023 Usually, when working with the eikonal equation, reference is made to its derivation in the monograph by Born and Wolf. The derivation of this equation was done rather carelessly.
Arseny V. Fedorov +4 more
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Microseismic Location Error Due to Eikonal Traveltime Calculation
Applied Sciences, 2021 The accuracy of computed traveltimes in a velocity model plays a crucial role in localization of microseismic events. The conventional approach usually utilizes robust fast sweeping or fast marching methods to solve the eikonal equation numerically with ...
Dmitry Alexandrov +2 more
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