An eikonal equation (from Greek 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 Greek word εἰκών, meaning likeness, icon or image. It can refer to: Eikonal equation, a non-linear partial differential...

physics, the eikonal approximation (Greek εἰκών for likeness, icon or image) is an approximative method useful in wave scattering equations, which occur...

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 ) | = 1 f ( x )  for  x ∈ Ω {\displaystyle |\nabla u(\mathbf...

first equation is known as the eikonal equation, which determines the eikonal S ( r ) {\displaystyle S(\mathbf {r} )} is a Hamilton–Jacobi equation, written...

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{...

is differentiable almost everywhere, and its gradient satisfies the eikonal equation | ∇ f | = 1. {\displaystyle |\nabla f|=1.} If the boundary of Ω is...

This is due to this being effectively the temporal integration of the Eikonal equation with a fixed front velocity. In mathematical modeling of combustion...

phase θ {\displaystyle \theta } , a scalar field. The second equation is the eikonal equation. It shows the effects of diffraction on the effective wavenumber:...