{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T05:11:07Z","timestamp":1776834667425,"version":"3.51.2"},"reference-count":22,"publisher":"American Mathematical Society (AMS)","issue":"254","license":[{"start":{"date-parts":[[2007,2,2]],"date-time":"2007-02-02T00:00:00Z","timestamp":1170374400000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>We construct a family of absorbing boundary conditions for the semilinear wave equation. Our principal tool is the paradifferential calculus which enables us to deal with nonlinear terms. We show that the corresponding initial boundary value problems are well posed. We finally present numerical experiments illustrating the efficiency of the method.<\/p>","DOI":"10.1090\/s0025-5718-06-01820-5","type":"journal-article","created":{"date-parts":[[2006,2,15]],"date-time":"2006-02-15T11:05:20Z","timestamp":1140001520000},"page":"565-594","source":"Crossref","is-referenced-by-count":21,"title":["A nonlinear approach to absorbing boundary conditions for the semilinear wave equation"],"prefix":"10.1090","volume":"75","author":[{"given":"J\u00e9r\u00e9mie","family":"Szeftel","sequence":"first","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2006,2,2]]},"reference":[{"issue":"10","key":"1","first-page":"287","article-title":"R\u00e9flexion transverse des singularit\u00e9s pour un probl\u00e8me aux limites non lin\u00e9aire d\u2019ordre 2","volume":"300","author":"Alabidi, Ali","year":"1985","journal-title":"C. R. Acad. Sci. Paris S\\'{e}r. 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