Peaks and jumps reconstruction with B-splines scaling functions

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:272

Article

Ortiz-Gracia, Luis¹  Masdemont, Josep J.² 

[1] Ctr Recerca Matemat, Bellaterra 08193, Barcelona, Spain

[2] Univ Politecn Cataluna, Dept Matemat Aplicada 1, E-08028 Barcelona, Spain

关键词: Haar wavelets;    B-splines;    Fourier inversion;    Peaks and jumps;    COS method;    Filtered-COS;   

DOI  :  10.1016/j.cam.2014.05.015

来源: Elsevier

【 摘 要 】

We consider a methodology based on B-splines scaling functions to numerically invert Fourier or Laplace transforms of functions in the space L-2(R). The original function is approximated by a finite combination of jth order B-splines basis functions and we provide analytical expressions for the recovered coefficients. The methodology is particularly well suited when the original function or its derivatives present peaks or jumps due to discontinuities in the domain. We will show in the numerical experiments the robustness and accuracy of the method. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free