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Quintic B-spline method for function reconstruction from integral values of successive subintervals

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Abstract

In this paper, we study a new method for function reconstruction from given integral values of successive subintervals by using quintic B-splines. The new method does not need any additional data and it is easy to implement. We are able to reconstruct the original function and its first-order to fourth-order derivatives. The reconstruction errors are well studied. Numerical results show that our method is very effective.

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Authors and Affiliations

  1. School of Mathematical Sciences, Ocean University of China, Qingdao, Shandong, 266100, People’s Republic of China

    Xiao-Ping Xu & Feng-Gong Lang

Authors
  1. Xiao-Ping Xu
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  2. Feng-Gong Lang
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Corresponding author

Correspondence to Feng-Gong Lang.

Additional information

This work was supported by the National Natural Science Foundation of China (No.11071228) and the Fundamental Research Funds for the Central Universities (No.201113037).

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Xu, XP., Lang, FG. Quintic B-spline method for function reconstruction from integral values of successive subintervals. Numer Algor 66, 223–240 (2014). https://doi.org/10.1007/s11075-013-9731-x

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  • DOI: https://doi.org/10.1007/s11075-013-9731-x

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