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...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Others |
| Language: | en_US |
| Published: |
2012
|
| Online Access: | http://ndltd.ncl.edu.tw/handle/14862032357711730734 |
| id |
ndltd-TW-100NCHU5507080 |
|---|---|
| record_format |
oai_dc |
| spelling |
ndltd-TW-100NCHU55070802016-11-20T04:17:50Z http://ndltd.ncl.edu.tw/handle/14862032357711730734 On discrete fundamental solution of nonuniform time step for the heat equation. 熱方程的非均勻時間格的離散基本解。 Shin-Yu Tu 杜世宇 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 the difference between discrete fundamental solution and the heat kernel. 郭紅珠 2012 學位論文 ; thesis 25 en_US |
| collection |
NDLTD |
| language |
en_US |
| format |
Others
|
| sources |
NDLTD |
| description |
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 the difference between discrete fundamental solution and the heat kernel.
|
| author2 |
郭紅珠 |
| author_facet |
郭紅珠 Shin-Yu Tu 杜世宇 |
| author |
Shin-Yu Tu 杜世宇 |
| spellingShingle |
Shin-Yu Tu 杜世宇 On discrete fundamental solution of nonuniform time step for the heat equation. |
| author_sort |
Shin-Yu Tu |
| title |
On discrete fundamental solution of nonuniform time step for the heat equation. |
| title_short |
On discrete fundamental solution of nonuniform time step for the heat equation. |
| title_full |
On discrete fundamental solution of nonuniform time step for the heat equation. |
| title_fullStr |
On discrete fundamental solution of nonuniform time step for the heat equation. |
| title_full_unstemmed |
On discrete fundamental solution of nonuniform time step for the heat equation. |
| title_sort |
on discrete fundamental solution of nonuniform time step for the heat equation. |
| publishDate |
2012 |
| url |
http://ndltd.ncl.edu.tw/handle/14862032357711730734 |
| work_keys_str_mv |
AT shinyutu ondiscretefundamentalsolutionofnonuniformtimestepfortheheatequation AT dùshìyǔ ondiscretefundamentalsolutionofnonuniformtimestepfortheheatequation AT shinyutu rèfāngchéngdefēijūnyúnshíjiāngédelísànjīběnjiě AT dùshìyǔ rèfāngchéngdefēijūnyúnshíjiāngédelísànjīběnjiě |
| _version_ |
1718395604795654144 |