A regularization procedure for the auto‐correlation equation | Zendy

Von Wolfersdorf L. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

A regularization procedure for the auto‐correlation equation

Author(s) -

Von Wolfersdorf L.

Publication year - 2001

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.257

Subject(s) - mathematics , regularization (linguistics) , quadratic equation , mathematical analysis , fourier transform , integral equation , boundary value problem , convergence (economics) , geometry , artificial intelligence , computer science , economics , economic growth

The paper deals with the auto‐correlation equation and its regularization by means of a Lavrent'ev regularization procedure in L 2 . The solution of this quadratic integral equation of the first kind and of the regularized equation of the second kind are obtained by reduction to a boundary value problem for the Fourier transform of the solution. We prove convergence of the approximate solution to the exact solution and derive a stability estimate for the error. Copyright © John Wiley & Sons, Ltd.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research