2010/01/12 by Zheng Xie, Yujie Ma, Xie, Zheng +1
Engineering · Mathematics · Physics and Astronomy · #02.30.Jr #02.30.Mv #02.40.Vh #44.05.+e #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical methods in inverse problems
paper · pdf · doi:10.48550/arxiv.1001.1804
openalex publication_date 2010/01/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.