The singular value expansion of the Volterra integral equation associated to a numerical differentiation problem

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:460

Article

Egidi, Nadaniela¹  Maponi, Pierluigi¹ 

[1] Univ Camerino, Scuola Sci & Tecnol, I-62032 Camerino, MC, Italy

关键词: Numerical differentiation;    Singular value expansion;    Volterra integral equation;   

DOI  :  10.1016/j.jmaa.2017.12.007

来源: Elsevier

【 摘 要 】

We consider the Volterra integral equation of the first kind for the derivative of a given function with one-side boundary conditions. We give a method to obtain the singular value expansion for the corresponding integral kernel. This singular value expansion can be used to give algorithms for the solution of the numerical differentiation problem. A numerical experiment shows the results obtained by a simple version of such algorithms. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free