{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T06:51:33Z","timestamp":1777445493471,"version":"3.51.4"},"reference-count":37,"publisher":"American Mathematical Society (AMS)","issue":"254","license":[{"start":{"date-parts":[[2007,1,23]],"date-time":"2007-01-23T00:00:00Z","timestamp":1169510400000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>We propose and study a numerical method for time discretization of linear and semilinear integro-partial differential equations that are intermediate between diffusion and wave equations, or are subdiffusive. The method uses convolution quadrature based on the second-order backward differentiation formula. Second-order error bounds of the time discretization and regularity estimates for the solution are shown in a unified way under weak assumptions on the data in a Banach space framework. Numerical experiments illustrate the theoretical results.<\/p>","DOI":"10.1090\/s0025-5718-06-01788-1","type":"journal-article","created":{"date-parts":[[2006,2,15]],"date-time":"2006-02-15T11:05:20Z","timestamp":1140001520000},"page":"673-696","source":"Crossref","is-referenced-by-count":241,"title":["Convolution quadrature time discretization of fractional diffusion-wave equations"],"prefix":"10.1090","volume":"75","author":[{"given":"Eduardo","family":"Cuesta","sequence":"first","affiliation":[]},{"given":"Christian","family":"Lubich","sequence":"additional","affiliation":[]},{"given":"Cesar","family":"Palencia","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2006,1,23]]},"reference":[{"key":"1","series-title":"Operator Theory: Advances and Applications","isbn-type":"print","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-8518-8","volume-title":"Well-posedness of parabolic difference equations","volume":"69","author":"Ashyralyev, A.","year":"1994","ISBN":"https:\/\/id.crossref.org\/isbn\/3764350245"},{"issue":"244","key":"2","doi-asserted-by":"publisher","first-page":"1597","DOI":"10.1090\/S0025-5718-02-01488-6","article-title":"Maximum-norm estimates for resolvents of elliptic finite element operators","volume":"72","author":"Bakaev, Nikolai Yu.","year":"2003","journal-title":"Math. 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