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We justify that the density remains non-negative and the total physical entropy does not increase, under suitable stability conditions. Performances of the scheme are illustrated through a set of numerical experiments.<\/p>","DOI":"10.1090\/s0025-5718-2015-02957-3","type":"journal-article","created":{"date-parts":[[2015,3,18]],"date-time":"2015-03-18T12:50:59Z","timestamp":1426683059000},"page":"2221-2262","source":"Crossref","is-referenced-by-count":14,"title":["Kinetic schemes on staggered grids for barotropic Euler models: entropy-stability analysis"],"prefix":"10.1090","volume":"84","author":[{"given":"Florent","family":"Berthelin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thierry","family":"Goudon","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sebastian","family":"Minjeaud","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"14","published-online":{"date-parts":[[2015,3,18]]},"reference":[{"key":"1","doi-asserted-by":"crossref","unstructured":"A. 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