{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T14:37:25Z","timestamp":1776782245996,"version":"3.51.2"},"reference-count":32,"publisher":"American Mathematical Society (AMS)","issue":"245","license":[{"start":{"date-parts":[[2004,8,26]],"date-time":"2004-08-26T00:00:00Z","timestamp":1093478400000},"content-version":"am","delay-in-days":366,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>We design numerical schemes for nonlinear degenerate parabolic systems with possibly dominant convection. These schemes are based on discrete BGK models where both characteristic velocities and the source-term depend singularly on the relaxation parameter. General stability conditions are derived, and convergence is proved to the entropy solutions for scalar equations.<\/p>","DOI":"10.1090\/s0025-5718-03-01549-7","type":"journal-article","created":{"date-parts":[[2003,10,10]],"date-time":"2003-10-10T19:11:14Z","timestamp":1065813074000},"page":"63-94","source":"Crossref","is-referenced-by-count":58,"title":["Explicit diffusive kinetic schemes for nonlinear degenerate parabolic systems"],"prefix":"10.1090","volume":"73","author":[{"given":"D.","family":"Aregba-Driollet","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R.","family":"Natalini","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.","family":"Tang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"14","published-online":{"date-parts":[[2003,8,26]]},"reference":[{"key":"1","doi-asserted-by":"crossref","unstructured":"D. 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