Title :
Non-Oscillatory Central Difference Schemes for Hamilton-Jacobi Equations
Author :
Wei Xu ; Ling-Hui Chen
Author_Institution :
Coll. of Math. & Inf. Sci., Nanchang Hangkong Univ., Nanchang, China
Abstract :
C. T Lin and E. Tadmor developed the staggered version of the LxF schemes for reducing the excessive numerical viscosity. A class of non-staggered and non-oscillatory central difference schemes are constructed based on their schemes. Finally, several typical numerical experiments show that these schemes have advantages of low numerical viscosity and are easy to treat boundary conditions and high resolution.
Keywords :
boundary-value problems; partial differential equations; Hamilton-Jacobi equations; LxF schemes; boundary conditions; nonoscillatory central difference schemes; nonstaggered central difference scheme; numerical experiments; numerical viscosity; Accuracy; Approximation methods; Educational institutions; Equations; Jacobian matrices; Viscosity; Hamilton-Jacobi equations; central difference; high resolution; non-staggered;
Conference_Titel :
Computational and Information Sciences (ICCIS), 2013 Fifth International Conference on
Conference_Location :
Shiyang
DOI :
10.1109/ICCIS.2013.247
