{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,6,9]],"date-time":"2023-06-09T19:49:56Z","timestamp":1686340196755},"reference-count":28,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"5","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Numer. Anal."],"published-print":{"date-parts":[[2008,1]]},"DOI":"10.1137\/070700681","type":"journal-article","created":{"date-parts":[[2008,7,10]],"date-time":"2008-07-10T18:11:44Z","timestamp":1215713504000},"page":"2688-2714","source":"Crossref","is-referenced-by-count":7,"title":["The ${l}^1$-Error Estimates for a Hamiltonian-Preserving Scheme for the Liouville Equation with Piecewise Constant Potentials"],"prefix":"10.1137","volume":"46","author":[{"given":"Xin","family":"Wen","sequence":"first","affiliation":[]},{"given":"Shi","family":"Jin","sequence":"additional","affiliation":[]}],"member":"351","reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1137\/S003614290139562X"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1007\/s00222-004-0367-2"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1016\/S0362-546X(97)00536-1"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1137\/S0036141002420005"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1007\/BF01393835"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1137\/0524018"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-00-01185-6"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097-0312(199704)50:4<323::AID-CPA4>3.0.CO;2-C"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1137\/0523032"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2004.11.008"},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.4310\/CMS.2005.v3.n3.a2"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1137\/050631343"},{"key":"R13","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-03-01625-9"},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.1080\/03605309508821159"},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.2000.3826"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/22.4.623"},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1142\/S0252959904000299"},{"key":"R18","doi-asserted-by":"publisher","DOI":"10.4171\/RMI\/143"},{"key":"R19","doi-asserted-by":"publisher","DOI":"10.1137\/0732038"},{"key":"R20","doi-asserted-by":"publisher","DOI":"10.1137\/030602745"},{"key":"R21","doi-asserted-by":"publisher","DOI":"10.1137\/S0036139997327174"},{"key":"R22","doi-asserted-by":"publisher","DOI":"10.1007\/s10092-001-8181-3"},{"key":"R23","doi-asserted-by":"publisher","DOI":"10.1080\/03605309708821265"},{"key":"R24","first-page":"581","volume":"64","author":"Tang T.","year":"1995","journal-title":"Math. Comp.","ISSN":"http:\/\/id.crossref.org\/issn\/0025-5718","issn-type":"print"},{"key":"R25","doi-asserted-by":"publisher","DOI":"10.1016\/S0196-8858(82)80010-9"},{"key":"R26","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142999363668"},{"key":"R27","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142900374974"},{"key":"R30","first-page":"1","volume":"26","author":"Wen X.","year":"2008","journal-title":"J. Comput. Math.","ISSN":"http:\/\/id.crossref.org\/issn\/0254-9409","issn-type":"print"}],"container-title":["SIAM Journal on Numerical Analysis"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/070700681","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,1,29]],"date-time":"2017-01-29T15:14:30Z","timestamp":1485702870000},"score":1,"resource":{"primary":{"URL":"http:\/\/epubs.siam.org\/doi\/10.1137\/070700681"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,1]]},"references-count":28,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2008,1]]}},"alternative-id":["10.1137\/070700681"],"URL":"https:\/\/doi.org\/10.1137\/070700681","relation":{},"ISSN":["0036-1429","1095-7170"],"issn-type":[{"value":"0036-1429","type":"print"},{"value":"1095-7170","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,1]]}}}