{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,23]],"date-time":"2026-06-23T07:47:18Z","timestamp":1782200838368,"version":"3.54.5"},"reference-count":21,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","funder":[{"DOI":"10.13039\/501100001862","name":"Svenska Forskningsr\u00e5det Formas","doi-asserted-by":"publisher","award":["2023-03982"],"award-info":[{"award-number":["2023-03982"]}],"id":[{"id":"10.13039\/501100001862","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001862","name":"Svenska Forskningsr\u00e5det Formas","doi-asserted-by":"publisher","award":["2023-04862"],"award-info":[{"award-number":["2023-04862"]}],"id":[{"id":"10.13039\/501100001862","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Numer. Anal."],"published-print":{"date-parts":[[2026,6,30]]},"DOI":"10.1137\/25m1754406","type":"journal-article","created":{"date-parts":[[2026,6,23]],"date-time":"2026-06-23T07:00:38Z","timestamp":1782198038000},"page":"957-988","source":"Crossref","is-referenced-by-count":0,"title":["Convergence Analysis of Lie and Strang Splitting for Operator-Valued Differential Riccati Equations"],"prefix":"10.1137","volume":"64","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1187-6967","authenticated-orcid":true,"given":"Eskil","family":"Hansen","sequence":"first","affiliation":[{"name":"Centre for Mathematical Sciences, Lund University, 221 00 Lund, Sweden."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6123-4271","authenticated-orcid":true,"given":"Tony","family":"Stillfjord","sequence":"additional","affiliation":[{"name":"Centre for Mathematical Sciences, Lund University, 221 00 Lund, Sweden."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0008-4454-4049","authenticated-orcid":true,"given":"Teodor","family":"\u00c5berg","sequence":"additional","affiliation":[{"name":"Centre for Mathematical Sciences, Lund University, 221 00 Lund, Sweden."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2026,6,23]]},"reference":[{"key":"ref1","unstructured":"P. Benner and N. Lang, Peer Methods for the Solution of Large-Scale Differential Matrix Equations, preprint, https:\/\/arxiv.org\/abs\/1807.08524, 2018."},{"key":"ref2","unstructured":"P. Benner and H. Mena, BDF methods for large-scale differential Riccati equations, in Proceedings of the 16th International Symposium on Mathematical Theory of Network and Systems, MTNS 2004, B. De Moor, B. Motmans, J. Willems, P. Van Dooren, and V. Blondel, eds. 2004, pp. 1\u201312."},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2013.2258495"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1515\/jnma-2016-1039"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-8176-4581-6"},{"key":"ref6","volume-title":"Discrete Versions of Gronwall\u2019s Lemma and their Application to the Numerical Analysis of Parabolic Problems","author":"Emmrich E.","year":"1999"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1137\/130935501"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1137\/0728071"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511574801"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2020.113360"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479801384937"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139017329"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1137\/17M1134500"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2018.01.035"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1137\/18M1177901"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-5561-1"},{"key":"ref17","series-title":"Texts in Appl. Math. 13","volume-title":"An Introduction to Partial Differential Equations","author":"Renardy M.","year":"2004","edition":"2"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(91)90035-X"},{"key":"ref19","unstructured":"T. Stillfjord, Convergence Analysis for the Exponential Lie Splitting Scheme Applied to the Abstract Differential Riccati Equation, Technical report, Lund University preprints, Lund, Sweden, 2015."},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2015.2398889"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/s11075-017-0416-8"}],"container-title":["SIAM Journal on Numerical Analysis"],"original-title":[],"language":"en","deposited":{"date-parts":[[2026,6,23]],"date-time":"2026-06-23T07:00:48Z","timestamp":1782198048000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/25M1754406"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,6,23]]},"references-count":21,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2026,6,30]]}},"alternative-id":["10.1137\/25M1754406"],"URL":"https:\/\/doi.org\/10.1137\/25m1754406","relation":{},"ISSN":["0036-1429","1095-7170"],"issn-type":[{"value":"0036-1429","type":"print"},{"value":"1095-7170","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,6,23]]}}}