Supplementary material from "Applying an iterative method numerically to solve n × n matrix Wiener–Hopf equations with exponential factors"
Posted on 2019-10-16 - 13:50
This paper presents a generalization of a recent iterative approach to solving a class of 2 × 2 matrix Wiener–Hopf equations involving exponential factors. We extend the method to square matrices of arbitrary dimension n, as arise in mixed boundary value problems with n junctions. To demonstrate the method, we consider the classical problem of scattering a plane wave by a set of collinear plates. The results are compared to other known methods. We describe an effective implementation using a spectral method to compute the required Cauchy transforms. The approach is ideally suited to obtaining far-field directivity patterns of utility to applications. Convergence in iteration is fastest for large wavenumbers, but remains practical at modest wavenumbers to achieve a high degree of accuracy.This article is part of the title issue ‘Modelling of dynamic phenomena and localization in structured media (part 2)’.
CITE THIS COLLECTION
DataCite
3 Biotech
3D Printing in Medicine
3D Research
3D-Printed Materials and Systems
4OR
AAPG Bulletin
AAPS Open
AAPS PharmSciTech
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
ABI Technik (German)
Academic Medicine
Academic Pediatrics
Academic Psychiatry
Academic Questions
Academy of Management Discoveries
Academy of Management Journal
Academy of Management Learning and Education
Academy of Management Perspectives
Academy of Management Proceedings
Academy of Management Review
Priddin, Matthew J.; Kisil, Anastasia V.; Ayton, Lorna J. (2019). Supplementary material from "Applying an iterative method numerically to solve n × n matrix Wiener–Hopf equations with exponential factors". The Royal Society. Collection. https://doi.org/10.6084/m9.figshare.c.4700375.v1
or
Select your citation style and then place your mouse over the citation text to select it.
SHARE
Usage metrics
Read the peer-reviewed publication
AUTHORS (3)
MP
Matthew J. Priddin
AK
Anastasia V. Kisil
LA
Lorna J. Ayton