高维抛物型方程差分格式的稳定性

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The Stability of Difference Schemes of a Higher Dimensional Parabolic Equation

Shanghai University of Technology, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

摘要: 本文提出了一个改进抛物型方程差分格式稳定性条件的新方法,给出并证明新方法稳定的充要条件,数值例子显示了本方法的计算优越性.
- 稳定性条件 /
- 抛物型方程 /
- 差分格式
Abstract: This paper proposes a new method to improve the stability condition of difference scheme of a parabolic equation. Necessary and sufficient conditions of the stability of this new method are given and proved. Some numerical examples show that this method has some calculation advantages.
- stability condition /
- parabolic equation /
- difference scheme

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[3]	蒋尔雄、高坤敏、吴景琅,《线性代数》,人民教育出版社,上海(1978).