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A subdomain is simple if the outgoing Green\u2019s function for the operator restricted to this subdomain is either available analytically or can be computed numerically, with arbitrary accuracy, by a tractable numerical method. These subdomain Green\u2019s functions are then used to reformulate the scattering problem as a system of boundary integral equations on the union of the subdomain boundaries. Assuming that the integral equations can be solved using the complex scaling method, this reformulation gives a practical numerical method, to solve these scattering problems, to any desired degree of accuracy, by solving integral equations on\n                    <jats:italic>finite<\/jats:italic>\n                    intervals, using standard discretization techniques.\n                  <\/jats:p>","DOI":"10.1007\/s10915-026-03282-z","type":"journal-article","created":{"date-parts":[[2026,4,10]],"date-time":"2026-04-10T10:33:18Z","timestamp":1775817198000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A Numerical Method for Scattering Problems from Unbounded Interfaces"],"prefix":"10.1007","volume":"107","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2201-5716","authenticated-orcid":false,"given":"Tristan","family":"Goodwill","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Charles L.","family":"Epstein","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2026,4,10]]},"reference":[{"key":"3282_CR1","doi-asserted-by":"crossref","unstructured":"Agocs, F.J., Barnett, A.H.: Trapped acoustic waves and raindrops: high-order accurate integral equation method for localized excitation of a periodic staircase. 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