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Connections between the Shadow Radius and the Quasinormal Modes of Kerr-Sen Black Hole
Universe, 2022 The correspondence between the shadow radius and the real part of the quasinormal modes (QNMs) of a Kerr–Sen black hole is studied. By using the equation of the shadow radius of Kerr–Sen black hole and the angular separation constant of the QNMs, the ...
Xianglong Wu, Xiangdong Zhang
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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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A Stable Neural Network-Based Eikonal Tomography using Hard-Constrained Measurements
, 2023 Eikonal tomography, or travel time inversion, has been one of the primary seismological tools for decades and has been used to understand Earth’s properties and dynamic processes.
Waheed, Umair bin +2 more
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European Physical Journal C: Particles and Fields, 2019 The asymptotic behavior of the scattering amplitude for two scalar particles at high energies with fixed momentum transfers is studied. The study is done within the effective theory of quantum gravity based on quasi-potential equation.
Nguyen Suan Han +2 more
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Wave focusing by submerged islands and gravitational analogues
Physical Review Research, 2022 We study water waves propagating over a smooth obstacle in a fluid of varying depth, motivated by the observation that submerged islands in the ocean act as effective lenses that increase the amplitude and destructive power of tsunami waves near focal ...
Theo Torres +3 more
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Causal Domain Restriction for Eikonal Equations [PDF]
SIAM Journal on Scientific Computing, 2014 27 pages; 17 figures; accepted for publication in SIAM J. on Sci. Comp; (a minor update to address the reviewers' comments)
Zachary Clawson +2 more
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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
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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
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A fast sweeping method for Eikonal equations [PDF]
Mathematics of Computation, 2004 In this paper a fast sweeping method for computing the numerical solution of Eikonal equations on a rectangular grid is presented. The method is an iterative method which uses upwind difference for discretization and uses Gauss-Seidel iterations with alternating sweeping ordering to solve the discretized system. The crucial idea is
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Journal of Advanced Transportation, 2023 The macroscopic models for solving the pedestrian flow problem can be generally classified into two categories as follows: first-order continuum models and high-order continuum models.
L. Yang, H. Liang, J. Du, S. C. Wong
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