{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T20:10:44Z","timestamp":1776802244204,"version":"3.51.2"},"reference-count":30,"publisher":"American Mathematical Society (AMS)","issue":"305","license":[{"start":{"date-parts":[[2017,9,12]],"date-time":"2017-09-12T00:00:00Z","timestamp":1505174400000},"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 prove the uniform AP convergence on unstructured meshes in 2D of a generalization of the Gosse-Toscani 1D scheme for the hyperbolic heat equation. This scheme is also a nodal extension in 2D of the Jin-Levermore scheme for the 1D case. In 2D, the proof is performed using a new diffusion scheme.<\/p>","DOI":"10.1090\/mcom\/3131","type":"journal-article","created":{"date-parts":[[2016,5,11]],"date-time":"2016-05-11T09:43:57Z","timestamp":1462959837000},"page":"1147-1202","source":"Crossref","is-referenced-by-count":10,"title":["Proof of uniform convergence for a cell-centered AP discretization of the hyperbolic heat equation on general meshes"],"prefix":"10.1090","volume":"86","author":[{"given":"Christophe","family":"Buet","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bruno","family":"Despr\u00e9s","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Emmanuel","family":"Franck","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thomas","family":"Leroy","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"14","published-online":{"date-parts":[[2016,9,12]]},"reference":[{"key":"1","unstructured":"D. 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