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By fully well-balanced, we mean here that the proposed Godunov-type method is also able to preserve stationary states with non zero velocity. The numerical procedure is shown to preserve the positiveness of the water height and satisfies a discrete entropy inequality.<\/p>","DOI":"10.1090\/mcom3045","type":"journal-article","created":{"date-parts":[[2015,2,25]],"date-time":"2015-02-25T10:40:14Z","timestamp":1424860814000},"page":"1281-1307","source":"Crossref","is-referenced-by-count":56,"title":["A fully well-balanced, positive and entropy-satisfying Godunov-type method for the shallow-water equations"],"prefix":"10.1090","volume":"85","author":[{"given":"Christophe","family":"Berthon","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Christophe","family":"Chalons","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"14","published-online":{"date-parts":[[2015,9,15]]},"reference":[{"issue":"6","key":"1","doi-asserted-by":"publisher","first-page":"2050","DOI":"10.1137\/S1064827503431090","article-title":"A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows","volume":"25","author":"Audusse, Emmanuel","year":"2004","journal-title":"SIAM J. 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