Abstract | ||
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We consider a classical ill-posed problem-numerical differentiation with a new method. We propose Fourier truncation method to compute high order numerical derivatives. A Holder-type stability estimate is obtained. A numerical implementation is described. Numerical examples show that the proposed method is effective and stable. |
Year | DOI | Venue |
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2006 | 10.1016/j.amc.2006.01.057 | Applied Mathematics and Computation |
Keywords | Field | DocType |
ill-posed problem,classical ill-posed problem-numerical differentiation,numerical implementation,numerical derivative,fourier truncation,numerical derivatives,new method,fourier truncation method,numerical example,high order,holder-type stability estimate,numerical differentiation | Truncation,Truncation error,Fourier analysis,Mathematical analysis,Fourier transform,Truncation error (numerical integration),Numerical analysis,Truncation method,Numerical stability,Mathematics | Journal |
Volume | Issue | ISSN |
181 | 2 | Applied Mathematics and Computation |
Citations | PageRank | References |
8 | 1.16 | 3 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Zhi Qian | 1 | 41 | 7.81 |
Chu-Li Fu | 2 | 142 | 28.78 |
Xiang-Tuan Xiong | 3 | 77 | 20.18 |
T. Wei | 4 | 87 | 18.96 |