Definition of Eikonal. Meaning of Eikonal. Synonyms of Eikonal

Here you will find one or more explanations in English for the word Eikonal. Also in the bottom left of the page several parts of wikipedia pages related to the word Eikonal and, of course, Eikonal synonyms and on the right images related to the word Eikonal.

Definition of Eikonal

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Meaning of Eikonal from wikipedia

- An eikonal equation (from Gr**** εἰκών, image) is a non-linear first-order partial differential equation that is encountered in problems of wave propagation...
- Eikonal is the German form of the Gr**** word εἰκών, meaning likeness, icon or image. It can refer to: Eikonal equation, a non-linear partial differential...
- In theoretical physics, the eikonal approximation (Gr**** εἰκών for likeness, icon or image) is an approximative method useful in wave scattering equations...
- Operation Eikonal is a collaboration between the National Security Agency (NSA) and Bundesnachrichtendienst (BND) for the sharing of telephony and Internet...
- ^{2}S=-\nabla ^{2}A_{m-1}.} The first equation is known as the eikonal equation, which determines the eikonal S(r){\displaystyle S(\mathbf {r} )} is a Hamilton–Jacobi...
- recommendation. Solve the eikonal equation. The first two are only of 1st order approximation (see Orders of approximation). For the eikonal equation, many numerical...
- method is a numerical method for solving boundary value problems of the Eikonal equation. |∇u(x)|=1f(x) for x∈Ω{\displaystyle |\nabla u(\mathbf {x} )|={\frac...
- function is differentiable almost everywhere, and its gradient satisfies the eikonal equation |∇f|=1.{\displaystyle |\nabla f|=1.} If the boundary of Ω is Ck...
- method created by James Sethian for solving boundary value problems of the Eikonal equation: |∇u(x)|=1/f(x) for x∈Ω{\displaystyle |\nabla u(x)|=1/f(x){\text{...
- fact that the important "quasi-optical" singularities of the so-called eikonal approximations of many wave equations, namely the "caustics", are resolved...