On discrete fundamental solution of nonuniform time step for the heat equation.

碩士 === 國立中興大學 === 應用數學系所 === 100 === In this thesis, we consider the Crank-Nicholson scheme and derive some properties of its discrete fundamental solutions on the mesh with nonuniform time steps. Then with these properties, we are able to establish error bounds in $L^{1}$ and $L^{infty}$ norms for...

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Bibliographic Details
Main Authors: Shin-Yu Tu, 杜世宇
Other Authors: 郭紅珠
Format: Others
Language:en_US
Published: 2012
Online Access:http://ndltd.ncl.edu.tw/handle/14862032357711730734