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The method yields a sharp convergence criterion which is used to prove the convergence of generalized MUSCL schemes and a class of schemes using flux limiters previously discussed in 1984 by Sweby.<\/p>","DOI":"10.1090\/s0025-5718-96-00668-0","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T18:14:44Z","timestamp":1027707284000},"page":"45-67","source":"Crossref","is-referenced-by-count":12,"title":["On wavewise entropy inequalities for high-resolution schemes. I: The semidiscrete case"],"prefix":"10.1090","volume":"65","author":[{"given":"Huanan","family":"Yang","sequence":"first","affiliation":[]}],"member":"14","published-online":{"date-parts":[[1996]]},"reference":[{"issue":"6","key":"1","first-page":"619","article-title":"Un exemple de m\u00e9thode MUSCL satisfaisant toutes les in\u00e9galit\u00e9s d\u2019entropie num\u00e9riques","volume":"317","author":"Bouchut, Fran\u00e7ois","year":"1993","journal-title":"C. R. Acad. Sci. Paris S\\'{e}r. 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