Article citationsMore>>

Ageev, A.L. and Antonova, T.V. (2015) Approximation of Discontinuity Lines for a Noisy Function of Two Variables with Countably Many Singularities. Journal of Applied and Industrial Mathematics, 9, 297-305.
https://doi.org/10.1134/S1990478915030011

has been cited by the following article:

• TITLE: Fourier-Series Representation of Discontinuous Functions and Its Physical Applications

  AUTHORS: Sami M. Al-Jaber, Iyad Saadeddin

  KEYWORDS: Electric Field, Charged Conductors, Electrostatics, Fourier Series

  JOURNAL NAME: Applied Mathematics, Vol.10 No.4, April 25, 2019

  ABSTRACT: In this work, Fourier-series representation of a discontinuous function is used to highlight and clarify the controversial problem of finding the value of the function at a point of discontinuity. Several physical situations are presented to examine the consequences of this kind of representation and its impact on some widely well-known problems whose results are not clearly understood or justified.