Stable Lagrangian numerical differentiation with the highest order of approximation

Author:

Wang Xinghua,Cui Feng

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference16 articles.

1. Wang, X. H., Numerical Differentiation (in Chinese), Encyclopedia of China (Mathematics Section), Beijing-Shanghai: Encyclopedia of China Publishing House, 1988.

2. Wang, X. H., The remainder of numerical differentiation formula, Hangzhou Daxue Xuebao (in Chinese), 1978, 5(1): 1–10. An announcement of the results, Kexue Tongbao, 1979, 24(19): 859-872.

3. Wang, X. H., Lai, M. J., Yang, S. J., On the divided differences of the remainder in polynomial interpolation, J. Approx. Theory, 2004, 127: 193–197.

4. Groetsch, C. W., Differentiation of approximately specified functions, Amer. Math. Monthly, 1991, 98: 847–850.

5. Groetsch, C. W., Optimal order of accuracy in Vasin's method for differentiation of noisy functions, J. Optim. Theory Appl., 1992, 74(2): 373–378.

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