An Iterative Wiener--Hopf Method for Triangular Matrix Functions with Exponential Factors

Research output: Contribution to journalArticlepeer-review

Abstract

This paper introduces a new method for constructing approximate solutions to a class of Wiener--Hopf equations. This is particularly useful since exact solutions of this class of Wiener--Hopf equations currently cannot be obtained. The proposed method could be considered as a generalization of the “pole removal” technique and Schwarzschild's series. The criteria for convergence is proved. The error in the approximation is explicitly estimated, and by a sufficient number of iterations it could be made arbitrarily small. Typically only a few iterations are required for practical purposes. The theory is illustrated by numerical examples that demonstrate the advantages of the proposed procedure. This method was motivated by and successfully applied to problems in acoustics.

Bibliographical metadata

Original languageEnglish
Pages (from-to)45-62
Number of pages18
JournalSIAM JOURNAL ON APPLIED MATHEMATICS
Volume78
Issue number1
Early online date5 Jan 2018
DOIs
Publication statusE-pub ahead of print - 5 Jan 2018

Related information

Researchers

View all