| 波速反问题迭代算法的收敛性 |
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| 引用本文： | 陈小宏.波速反问题迭代算法的收敛性[J].淮北煤炭师范学院学报(自然科学版),1989(3). |
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| 作者姓名： | 陈小宏 |
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| 作者单位： | 淮北煤师院数学系 |
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| 摘 要： | 本文讨论了一维波动方程的波速反问题,将反问题归结为一个等价的非线性算子方程,利用Newton迭代法提出了一种求解非线性算子方程的简单迭代算法,应用推广的Newton-Kantorovich定理证明了迭代过程的收敛性.
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| 关 键 词： | 波动方程 反问题 非线性算子方程 |
Convergence of a simple computational scheme for determining the wave velocity in wave eguation |
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| Chen Xiaohong.Convergence of a simple computational scheme for determining the wave velocity in wave eguation[J].Journal of Huaibei Coal Industry Teachers College(Natural Science edition),1989(3). |
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| Authors: | Chen Xiaohong |
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| Institution: | Chen Xiaohong |
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| Abstract: | This article deals with the determination of the wave velocity in 1-D wave eguation. The inverse problem is boiled down to a eguavalent nonlinear operator eguation. And a simple iterative method for the operator eguation which is based on Newton's method is presented.Usnig the generalized Newton-Kantorovich theorem, We proved the convergence of the iterative process. |
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| Keywords: | wave eguation inverse problem nonlinear operator |
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