Title :
A High Accurate Difference Scheme for Hamilton-Jacobi Equations
Author :
Xu, Wei ; Chen, Ling-hui
Author_Institution :
Coll. of Math. & Inf. Sci., Nanchang Hangkong Univ., Nanchang, China
Abstract :
Based on the reconstruction by using least squares fitting method and corresponding limiter correction, a class of high accuracy schemes are constructed for solving Hamilton-Jacobi equations. Several typical numerical tests demonstrate the desired low computational cost, high resolution and simple form.
Keywords :
curve fitting; least squares approximations; partial differential equations; Hamilton-Jacobi equation; difference scheme; least squares fitting method; limiter correction; numerical test; Educational institutions; Equations; Fitting; Jacobian matrices; Least squares approximation; Viscosity; Hamilton-Jacobi equations; least square fitting; one dimension; two dimension;
Conference_Titel :
Business Computing and Global Informatization (BCGIN), 2012 Second International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4673-4469-2
DOI :
10.1109/BCGIN.2012.134