{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T16:30:03Z","timestamp":1787329803008,"version":"build-2736575974"},"reference-count":8,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[1995,1]]},"abstract":"<jats:p>In this note the author shows a uniform-consistency barrier on finite-difference schemes of positive type for convection-diffusion equations; i.e., any difference scheme of positive type cannot approximate $Lu = - \\varepsilon \\Delta u + \\vec f \\cdot \\nabla u + gu$ to $O(h^\\alpha )$$(\\alpha &gt; 1)$ accuracy uniformly in $\\varepsilon $.<\/jats:p>","DOI":"10.1137\/0916011","type":"journal-article","created":{"date-parts":[[2005,3,1]],"date-time":"2005-03-01T03:42:54Z","timestamp":1109648574000},"page":"169-172","source":"Crossref","is-referenced-by-count":1,"title":["A Uniform-Consistency Barrier on Finite-Difference Schemes of Positive Type for Convection-Diffusion Equations"],"prefix":"10.1137","volume":"16","author":[{"given":"Hao","family":"Lu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,13]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1137\/0727093"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00317059"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-1987-0878690-0"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1007\/BF01093706"},{"key":"R5","first-page":"113","volume-title":"Boundary and interior layers\u2014computational and asymptotic methods (Proc. Conf., Trinity College, Dublin, 1980)","author":"Kellogg R. B.","year":"1980"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-1978-0483484-9"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1007\/BF01411843"},{"key":"R8","first-page":"361","volume-title":"Numerical analysis of singular perturbation problems (Proc. Conf., Math. Inst., Catholic Univ., Nijmegen, 1978)","author":"Veldhuizen M.","year":"1979"}],"container-title":["SIAM Journal on Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/0916011","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T15:34:30Z","timestamp":1787326470000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/0916011"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1995,1]]},"references-count":8,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1995,1]]}},"alternative-id":["10.1137\/0916011"],"URL":"https:\/\/doi.org\/10.1137\/0916011","relation":{},"ISSN":["1064-8275","1095-7197"],"issn-type":[{"value":"1064-8275","type":"print"},{"value":"1095-7197","type":"electronic"}],"subject":[],"published":{"date-parts":[[1995,1]]}}}