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Numerical Solutions to Wave Propagation and Heat Transfer Non-Linear PDEs by Using a Meshless Method

open access: yesMathematics, 2022
The applications of the Eikonal and stationary heat transfer equations in broad fields of science and engineering are the motivation to present an implementation, not only valid for structured domains but also for completely irregular domains, of the ...
Jesús Flores   +5 more
doaj   +1 more source

Three-dimensional acoustic vector field model using Gaussian beam tracing [PDF]

open access: yesJASA Express Letters, 2023
A three-dimensional acoustic vector field model was developed using Gaussian beam tracing. The field at any location is computed by coherently summing all contributing beams, where the beam equation of particle velocity depends only on beam width and ...
Yuchen Chen, Minghui Zhang, Lijia Gong
doaj   +1 more source

The focusing problem for the Eikonal equation [PDF]

open access: yesJournal of Evolution Equations, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Angenent, S. B., Aronson, D. G.
openaire   +2 more sources

An eikonal equation approach to thermodynamics and the gradient flows in information geometry [PDF]

open access: yesarXiv.org, 2020
We can incorporate a “time” evolution into thermodynamics as a Hamilton–Jacobi dynamics. A set of the equations of state in thermodynamics is considered as the generalized eikonal equation, which is equivalent to Hamilton–Jacobi equation.
T. Wada, A. Scarfone, H. Matsuzoe
semanticscholar   +1 more source

Equivalence of solutions of eikonal equation in metric spaces [PDF]

open access: yes, 2020
In this paper we prove the equivalence between some known notions of solutions to the eikonal equation and more general analogs of the Hamilton-Jacobi equations in complete and rectifiably connected metric spaces. The notions considered are that of curve-
Qing Liu   +2 more
semanticscholar   +1 more source

A Unified Shape-From-Shading Approach for 3D Surface Reconstruction Using Fast Eikonal Solvers

open access: yesInternational Journal of Optics, 2020
Object shape reconstruction from images has been an active topic in computer vision. Shape-from-shading (SFS) is an important approach for inferring 3D surface from a single shading image.
Guohui Wang, Xuan Zhang, Jin Cheng
doaj   +1 more source

Anti-eikonal equation of an eigenmirror

open access: yesJournal of the Optical Society of America A, 2020
We call a surface that appears undistorted when viewed in a curved mirror an eigensurface and the mirror an eigenmirror. Such pairs are described by a first-order nonlinear partial differential equation of the form a 0 + a 1 u x + a 2
R Andrew, Hicks   +2 more
openaire   +2 more sources

EikoNet traveltime calculation method and application based on deep neural network

open access: yes地球与行星物理论评, 2023
Seismic wave traveltime calculation plays an important role in many areas of seismology, such as seismic tomography, migration and microseismic location.
Shi Yao   +5 more
doaj   +1 more source

Unifying approaches: derivation of Balitsky hierarchy from the Lipatov effective action

open access: yesEuropean Physical Journal C: Particles and Fields, 2021
We consider a derivation of the hierarchy of correlators of ordered exponentials directly from the Lipatov’s effective action (Lipatov in Nucl Phys B 452:369, 1995; Phys Rep 286:131, 1997; Subnucl Ser 49:131, 2013; Int J Mod Phys Conf Ser 39: 1560082 ...
S. Bondarenko   +2 more
doaj   +1 more source

Stripe patterns and the Eikonal equation

open access: yesDiscrete and Continuous Dynamical Systems - S, 2012
9 pages, 5 figures ...
Peletier Mark A., VENERONI, MARCO
openaire   +4 more sources

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