Central Schemes for Multidimensional Hamilton-Jacobi Equations

Authors:
Steve Bryson;Doron Levy
Affiliations:
-;-
Venue:
SIAM Journal on Scientific Computing
Year:
2003

Citing 0
Cited 2

Mapped WENO and weighted power ENO reconstructions in semi-discrete central schemes for Hamilton-Jacobi equations

Applied Numerical Mathematics - Numerical methods for viscosity solutions and applications
Extrapolating tumor invasion margins for physiologically determined radiotherapy regions

MICCAI'06 Proceedings of the 9th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I

Quantified Score

Hi-index	0.00

Visualization

Abstract

We present new, efficient central schemes for multidimensional Hamilton--Jacobi equations. These nonoscillatory, nonstaggered schemes are first- and second-order accurate and are designed to scale well with an increasing dimension. Efficiency is obtained by carefully choosing the location of the evolution points and by using a one-dimensional projection step. First- and second-order accuracy is verified for a variety of multidimensional, convex, and nonconvex problems.