| 二维Cahn-Hilliard方程半隐的预估-校正谱逼近(英文) |
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| 引用本文： | 贺力平.二维Cahn-Hilliard方程半隐的预估-校正谱逼近(英文)[J].应用数学与计算数学学报,2013(1):128-146. |
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| 作者姓名： | 贺力平 |
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| 作者单位： | 上海交通大学数学系;上海交通大学教育部科学工程计算重点实验室 |
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| 基金项目： | supported by the National Natural Science Foundation of China(11171218;11271258);the Special Foundation of Shanghai Jiao Tong University for Science and Technology Innovation(AE0710004) |
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| 摘 要： | 针对二维Cahn-Hilliard方程的初边值问题提出了一个便于计算的、半隐的预估-校正谱格式.通过引入两个三线性泛函,克服了非线性项所带来的困难,并用能量方法严格证明了数值解在时间方向具有二阶精度,而在空间方向具有谱精度.
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| 关 键 词： | Cahn-Hilliard方程 半隐式的预估-校正谱格式 高精度 收敛性 |
Semi-implicit prediction-correction spectral approximation to two-dimensional Cahn-Hilliard equation |
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| HE Li-ping.Semi-implicit prediction-correction spectral approximation to two-dimensional Cahn-Hilliard equation[J].Communication on Applied Mathematics and Computation,2013(1):128-146. |
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| Authors: | HE Li-ping |
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| Institution: | HE Li-ping(1,2) (1.Department of Mathematics,Shanghai Jiao Tong University,Shanghai 200030,China; 2.Ministry of Education Key Laboratory of Scientific and Engineering Computing, Shanghai Jiao Tong University,Shanghai 200234,China) |
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