High order accurate weighted essentially nonoscillatory (WENO) schemes are relatively new
but have gained rapid popularity in numerical solutions of hyperbolic partial differential …

Elastic full-waveform inversion, which aims to match the waveforms of prestack seismic data,
potentially provides more accurate high-resolution reservoir characterization from seismic …

Weighted essentially non-oscillatory (WENO) schemes are a class of high-order shock
capturing schemes which have been designed and applied to solve many fluid dynamics …

A wide range of computer vision applications require an accurate solution of a particular
Hamilton-Jacobi (HJ) equation, known as the Eikonal equation. In this paper, we propose an …

In this paper, we revisit Hughes' dynamic continuum model for pedestrian flow in a two-
dimensional walking facility that is represented as a continuum within which pedestrians can …

The original fast swee** method, which is an efficient iterative method for stationary
Hamilton–Jacobi equations, relies on natural ordering provided by a rectangular mesh. We …

In this note we present an implementation of the fast marching algorithm for solving Eikonal
equations that in practice reduces the original run-time from O (NlogN) to linear. This lower …

We develop a fast swee** method for the factored eikonal equation. By decomposing the
solution of a general eikonal equation as the product of two factors: the first factor is the …

This paper presents a generalized walking cost distribution to determine a dynamic
navigation field in the social force model for pedestrian evacuation. The local walking cost …

We develop a fast swee** method for static Hamilton–Jacobi equations with convex
Hamiltonians. Local solvers and fast swee** strategies apply to structured and …