Two unconditional stable schemes for simulation of heat equation on manifold using DEC
Numerical Analysis
2010-01-13 v1
Abstract
To predict the heat diffusion in a given region over time, it is often necessary to find the numerical solution for heat equation. With the techniques of discrete differential calculus, we propose two unconditional stable numerical schemes for simulation heat equation on space manifold and time. The analysis of their stability and error is accomplished by the use of maximum principle.
Keywords
Cite
@article{arxiv.1001.1804,
title = {Two unconditional stable schemes for simulation of heat equation on manifold using DEC},
author = {Zheng Xie and Yujie Ma},
journal= {arXiv preprint arXiv:1001.1804},
year = {2010}
}
Comments
8 pages,3figures