{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T22:38:13Z","timestamp":1776724693300,"version":"3.51.2"},"reference-count":11,"publisher":"American Mathematical Society (AMS)","issue":"224","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>A systematic development of higher order spectral analysis, introduced by Dellwo and Friedman, is undertaken in the framework of an appropriate product space. Accelerated analogues of Osborn\u2019s results about spectral approximation are presented. Numerical examples are given by considering an integral operator.<\/p>","DOI":"10.1090\/s0025-5718-98-00980-6","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T18:13:45Z","timestamp":1027707225000},"page":"1401-1422","source":"Crossref","is-referenced-by-count":5,"title":["Accelerated spectral approximation"],"prefix":"10.1090","volume":"67","author":[{"given":"Rafikul","family":"Alam","sequence":"first","affiliation":[]},{"given":"Rekha","family":"Kulkarni","sequence":"additional","affiliation":[]},{"given":"Balmohan","family":"Limaye","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[1998]]},"reference":[{"key":"1","doi-asserted-by":"publisher","first-page":"213","DOI":"10.1137\/0712020","article-title":"Convergence rates for approximate eigenvalues of compact integral operators","volume":"12","author":"Atkinson, Kendall","year":"1975","journal-title":"SIAM J. Numer. Anal.","ISSN":"https:\/\/id.crossref.org\/issn\/0036-1429","issn-type":"print"},{"key":"2","doi-asserted-by":"publisher","first-page":"525","DOI":"10.2307\/2005658","article-title":"Rate of convergence estimates for nonselfadjoint eigenvalue approximations","volume":"27","author":"Bramble, J. H.","year":"1973","journal-title":"Math. Comp.","ISSN":"https:\/\/id.crossref.org\/issn\/0025-5718","issn-type":"print"},{"key":"3","series-title":"Computer Science and Applied Mathematics","isbn-type":"print","volume-title":"Spectral approximation of linear operators","author":"Chatelin, Fran\u00e7oise","year":"1983","ISBN":"https:\/\/id.crossref.org\/isbn\/0121706206"},{"issue":"151","key":"4","doi-asserted-by":"publisher","first-page":"679","DOI":"10.2307\/2006187","article-title":"Collocation approximation to eigenvalues of an ordinary differential equation: the principle of the thing","volume":"35","author":"de Boor, Carl","year":"1980","journal-title":"Math. Comp.","ISSN":"https:\/\/id.crossref.org\/issn\/0025-5718","issn-type":"print"},{"issue":"6","key":"5","doi-asserted-by":"publisher","first-page":"1115","DOI":"10.1137\/0721069","article-title":"Accelerated spectral analysis of compact operators","volume":"21","author":"Dellwo, David R.","year":"1984","journal-title":"SIAM J. Numer. Anal.","ISSN":"https:\/\/id.crossref.org\/issn\/0036-1429","issn-type":"print"},{"issue":"2","key":"6","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1051\/m2an\/1978120200971","article-title":"On spectral approximation. I. The problem of convergence","volume":"12","author":"Descloux, Jean","year":"1978","journal-title":"RAIRO Anal. Num\\'{e}r.","ISSN":"https:\/\/id.crossref.org\/issn\/0399-0516","issn-type":"print"},{"issue":"2","key":"7","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1051\/m2an\/1978120200971","article-title":"On spectral approximation. I. The problem of convergence","volume":"12","author":"Descloux, Jean","year":"1978","journal-title":"RAIRO Anal. Num\\'{e}r.","ISSN":"https:\/\/id.crossref.org\/issn\/0399-0516","issn-type":"print"},{"key":"8","doi-asserted-by":"publisher","first-page":"261","DOI":"10.1007\/BF02790238","article-title":"Perturbation theory for nullity, deficiency and other quantities of linear operators","volume":"6","author":"Kato, Tosio","year":"1958","journal-title":"J. Analyse Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0021-7670","issn-type":"print"},{"issue":"2","key":"9","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1017\/S144678870003439X","article-title":"On strongly stable approximations","volume":"52","author":"Nair, M. Thamban","year":"1992","journal-title":"J. Austral. Math. Soc. Ser. A","ISSN":"https:\/\/id.crossref.org\/issn\/0263-6115","issn-type":"print"},{"key":"10","isbn-type":"print","first-page":"115","article-title":"Nonselfadjoint spectral approximation and the finite element method","author":"Kolata, William","year":"1979","ISBN":"https:\/\/id.crossref.org\/isbn\/3540091106"},{"key":"11","doi-asserted-by":"publisher","first-page":"145","DOI":"10.1002\/mana.19770780113","article-title":"\u00dcber die Konvergenz und Divergenz von N\u00e4herungsmethoden bei Eigenwertproblemen","volume":"78","author":"Vainikko, Gennadi","year":"1977","journal-title":"Math. Nachr.","ISSN":"https:\/\/id.crossref.org\/issn\/0025-584X","issn-type":"print"}],"container-title":["Mathematics of Computation"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.ams.org\/mcom\/1998-67-224\/S0025-5718-98-00980-6\/S0025-5718-98-00980-6.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/www.ams.org\/mcom\/1998-67-224\/S0025-5718-98-00980-6\/S0025-5718-98-00980-6.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T21:51:19Z","timestamp":1776721879000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.ams.org\/mcom\/1998-67-224\/S0025-5718-98-00980-6\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998]]},"references-count":11,"journal-issue":{"issue":"224","published-print":{"date-parts":[[1998,10]]}},"alternative-id":["S0025-5718-98-00980-6"],"URL":"https:\/\/doi.org\/10.1090\/s0025-5718-98-00980-6","archive":["CLOCKSS","Portico"],"relation":{},"ISSN":["1088-6842","0025-5718"],"issn-type":[{"value":"1088-6842","type":"electronic"},{"value":"0025-5718","type":"print"}],"subject":[],"published":{"date-parts":[[1998]]}}}