Name
Abstract | ||
|---|---|---|
In this paper we consider the numerical differentiation of functions specified by noisy data. A new approach, which is based on an integral equation of the first kind with a suitable compact operator, is presented and discussed. Since the singular system of the compact operator can be obtained easily, TSVD is chosen as the needed regularization technique and we show that the method calls for a discrete sine transform, so the method can be implemented easily and fast. Numerical examples are also given to show the efficiency of the method. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.cam.2009.06.001 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
needed regularization technique,discrete sine,suitable compact operator,compact operator,noisy data,numerical example,method call,new approach,numerical differentiation,integral equation,discrete sine transform | Numerical differentiation,Noisy data,Mathematical analysis,Integral equation,Compact operator,Regularization (mathematics),Discrete sine transform,Numerical analysis,Numerical linear algebra,Mathematics | Journal |
Volume | Issue | ISSN |
232 | 2 | 0377-0427 |
Citations | PageRank | References |
1 | 0.38 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhenyu Zhao | 1 | 12 | 7.86 |
| Ze-hong Meng | 2 | 19 | 2.07 |
| Guoqiang He | 3 | 8 | 3.41 |