{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,22]],"date-time":"2026-06-22T00:47:10Z","timestamp":1782089230582,"version":"3.54.5"},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"2","license":[{"start":{"date-parts":[[2009,1,1]],"date-time":"2009-01-01T00:00:00Z","timestamp":1230768000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Comput. Methods Appl. Math."],"published-print":{"date-parts":[[2009]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>We obtain sharp pointwise 2nd-order estimates for both solution and\nderivative errors on arbitrary grids for a mimetic finite-difference approximation to\nsolutions of one-dimensional linear boundary-value problems with separated boundary\nconditions. Although the scheme considered is formally inconsistent with the differential\nequation, it turns out to possess nice convergence properties which make it a good\nalternative to more standard, consistent discretizations of similar arithmetic complexity,\nparticularly with respect to derivative errors.<\/jats:p>","DOI":"10.2478\/cmam-2009-0011","type":"journal-article","created":{"date-parts":[[2013,4,15]],"date-time":"2013-04-15T12:18:45Z","timestamp":1366028325000},"page":"192-202","source":"Crossref","is-referenced-by-count":3,"title":["Error Estimates on Arbitrary Grids\nfor a 2nd-order Mimetic Discretization\nof Boundary-value Problems for Linear Odes"],"prefix":"10.2478","volume":"9","author":[{"given":"J.P.","family":"Zingano","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00b4atica Pura e Aplicada, Universidade Federal do Rio Grande do Sul, Porto Alegre, RS 91509, Brazil."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"S.L.","family":"Steinberg","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of New Mexico, Albuquerque, NM 87131, USA."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"374","published-online":{"date-parts":[[2009]]},"container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/9\/2\/article-p192.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyterbrill.com\/document\/doi\/10.2478\/cmam-2009-0011\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyterbrill.com\/document\/doi\/10.2478\/cmam-2009-0011\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,6,21]],"date-time":"2026-06-21T23:53:15Z","timestamp":1782085995000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyterbrill.com\/document\/doi\/10.2478\/cmam-2009-0011\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2009]]},"published-print":{"date-parts":[[2009]]}},"alternative-id":["10.2478\/cmam-2009-0011"],"URL":"https:\/\/doi.org\/10.2478\/cmam-2009-0011","relation":{},"ISSN":["1609-9389","1609-4840"],"issn-type":[{"value":"1609-9389","type":"electronic"},{"value":"1609-4840","type":"print"}],"subject":[],"published":{"date-parts":[[2009]]}}}