Results 31 to 40 of about 16,809 (204)
Characteristic surface data for the eikonal equation [PDF]
Journal of Mathematical Physics, 1999 A method of solving the eikonal equation, in either flat or curved space–times, with arbitrary Cauchy data, is extended to the case of data given on a characteristic surface. We find a beautiful relationship between the Cauchy and characteristic data for the same solution, namely they are related by a Legendre transformation.
Newman, Ezra T., Perez, Alejandro
openaire +3 more sources
Software for the numerical solution of first-order partial differential equations
Discrete and Continuous Models and Applied Computational Science, 2019 Partial differential equations of the first order, arising in applied problems of optics and optoelectronics, often contain coefficients that are not defined by a single analytical expression in the entire considered domain.
Yaroslav Yu Kuziv
doaj +1 more source
Application of Fibonacci heap to fast marching method
Open Physics, 2021 The fast marching method (FMM) is an efficient, stable and adaptable travel time calculation method. In the realization of this method, it is necessary to select the minimum travel time node from the narrow band many times.
Meng Fanchang +5 more
doaj +1 more source
Quadratic Theory of Gravity with a Scalar Field and Type I Shapovalov Wave Spacetimes
Universe, 2022 For the quadratic theory of gravity with a scalar field, exact solutions are found for gravitational-wave models in Shapovalov I-type spacetimes, which do not arise in models of the general theory of relativity.
Konstantin Osetrin +2 more
doaj +1 more source
Eikonal Particle Scattering and Dilaton Gravity [PDF]
, 1995 Approximating light charged point-like particles in terms of (nonextremal) dilatonic black holes is shown to lead to certain pathologies in Planckian scattering in the eikonal approximation, which are traced to the presence of a (naked) curvature ...
A. Sen +17 more
core +2 more sources
Stripe patterns and the Eikonal equation
Discrete & Continuous Dynamical Systems - S, 2012 9 pages, 5 figures ...
Peletier Mark A., VENERONI, MARCO
openaire +4 more sources
International Journal of Geophysics, 2014 The present paper conducts a scientific review on ionospheric absorption, extrapolating the research prospects of a complex eikonal model for one-layer ionosphere.
Alessandro Settimi +3 more
doaj +1 more source
Hopf maps as static solutions of the complex eikonal equation
, 2004 We demonstrate that a class of torus-shaped Hopf maps with arbitrary linking number obeys the static complex eikonal equation. Further, we explore the geometric structure behind these solutions, explaining thereby the reason for their existence.
C. Adam +2 more
core +1 more source
Bayesian inversion of log-normal eikonal equations
Inverse Problems, 2023 Abstract We study the Bayesian inverse problem for inferring the log-normal slowness function of the eikonal equation, given noisy observation data on its solution at a set of spatial points. We contribute rigorous proofs on the existence and well-posedness of the problem.
Zhan Fei Yeo, Viet Ha Hoang
openaire +5 more sources
Three-dimensional P-velocity model of the upper mantle of the Western Mediterranean
Геофизический журнал, 2012 The paper presents 3D P-velocity structure of the upper mantle beneath Western Mediterranean region. Taylor approximation of eikonal equation and wave equation proposed by V. S. Gey-ko have been used.
I. V. Bugaenko +3 more
doaj +1 more source