| A Finite Difference Scheme for a Semiconductor Device Problem on Grids with Local Refinement in Time and Space |
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| 作者姓名： | Wei Liu Yirang Yuan |
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| 作者单位： | Wei Liu and Yirang Yuan School of Mathematics and System Science，Shandong University，Jinan 250100，China. |
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| 基金项目： | 国家重点基础研究发展计划(973计划);国家自然科学基金;高等学校博士学科点专项科研项目 |
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| 摘 要： | The momentary state of a semiconductor device is described by a system of three nonlinear partial differential equations. A finite difference scheme for simulating transient behaviors of a semiconductor device on grids with local refinement in time and space is constructed and studied. Error analysis is presented and is illustrated by numerical examples.
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| 关 键 词： | 半导体器件 局部加密 有限差分格式 误差估计 |
| 收稿时间： | 2005-06-01 |
| 修稿时间： | 2006-03-23 |
A Finite Difference Scheme for a Semiconductor Device Problem on Grids with Local Refinement in Time and Space |
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| Wei Liu Yirang Yuan.A Finite Difference Scheme for a Semiconductor Device Problem on Grids with Local Refinement in Time and Space[J].Numerical Mathematics A Journal of Chinese Universities English Series,2006,15(3):278-288. |
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| Authors: | Wei Liu Yirang Yuan |
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| Abstract: | The momentary state of a semiconductor device is described by a system of three nonlinear partial differential equations. A finite difference scheme for simulating transient behaviors of a semiconductor device on grids with local refinement in time and space is constructed and studied. Error analysis is presented and is illustrated by numerical examples. |
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| Keywords: | Semiconductor device local refinement finite difference scheme error estimate |
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