{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,27]],"date-time":"2025-06-27T13:10:09Z","timestamp":1751029809687,"version":"3.41.0"},"reference-count":21,"publisher":"Walter de Gruyter GmbH","issue":"2","funder":[{"DOI":"10.13039\/501100002428","name":"Austrian Science Fund","doi-asserted-by":"publisher","award":["MA16-066 \u201cSEQUEX\u201d"],"award-info":[{"award-number":["MA16-066 \u201cSEQUEX\u201d"]}],"id":[{"id":"10.13039\/501100002428","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024,4,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>We analyze a numerical method to solve the time-dependent linear Pauli equation in three space dimensions. The Pauli equation is a semi-relativistic generalization of the Schr\u00f6dinger equation for 2-spinors which accounts both for magnetic fields and for spin, with the latter missing in preceding numerical work on the linear magnetic Schr\u00f6dinger equation. We use a four term operator splitting in time, prove stability and convergence of the method and derive error estimates as well as meshing strategies for the case of given time-independent electromagnetic potentials, thus providing a generalization of previous results for the magnetic Schr\u00f6dinger equation.<\/jats:p>","DOI":"10.1515\/cmam-2023-0094","type":"journal-article","created":{"date-parts":[[2023,10,5]],"date-time":"2023-10-05T09:50:55Z","timestamp":1696499455000},"page":"407-420","source":"Crossref","is-referenced-by-count":1,"title":["A Time Splitting Method for the Three-Dimensional Linear Pauli Equation"],"prefix":"10.1515","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8239-2372","authenticated-orcid":false,"given":"Timon S.","family":"Gutleb","sequence":"first","affiliation":[{"name":"Mathematical Institute , University of Oxford , Oxford OX2 6GG , United Kingdom"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Norbert J.","family":"Mauser","sequence":"additional","affiliation":[{"name":"Research platform MMM \u2018Mathematics \u2013 Magnetism \u2013 Materials\u2019 c\/o Fakult\u00e4t f\u00fcr Mathematik , Universit\u00e4t Wien , A-1090 Vienna , Austria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6213-1602","authenticated-orcid":false,"given":"Michele","family":"Ruggeri","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics , University of Strathclyde , Glasgow G1 1XH , United Kingdom"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hans Peter","family":"Stimming","sequence":"additional","affiliation":[{"name":"Research platform MMM \u2018Mathematics \u2013 Magnetism \u2013 Materials\u2019 c\/o Fakult\u00e4t f\u00fcr Mathematik , Universit\u00e4t Wien , A-1090 Vienna , Austria"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2023,10,6]]},"reference":[{"key":"2025062712372325309_j_cmam-2023-0094_ref_001","doi-asserted-by":"crossref","unstructured":"W.  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Ware,\nA spectral method of characteristics for hyperbolic problems,\nSIAM J. Numer. Anal. 28 (1991), no. 2, 423\u2013445.","DOI":"10.1137\/0728024"},{"key":"2025062712372325309_j_cmam-2023-0094_ref_021","doi-asserted-by":"crossref","unstructured":"M.  Thalhammer,\nHigh-order exponential operator splitting methods for time-dependent Schr\u00f6dinger equations,\nSIAM J. Numer. Anal. 46 (2008), no. 4, 2022\u20132038.","DOI":"10.1137\/060674636"}],"container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyterbrill.com\/document\/doi\/10.1515\/cmam-2023-0094\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyterbrill.com\/document\/doi\/10.1515\/cmam-2023-0094\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,27]],"date-time":"2025-06-27T12:38:10Z","timestamp":1751027890000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyterbrill.com\/document\/doi\/10.1515\/cmam-2023-0094\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,10,6]]},"references-count":21,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2024,1,2]]},"published-print":{"date-parts":[[2024,4,1]]}},"alternative-id":["10.1515\/cmam-2023-0094"],"URL":"https:\/\/doi.org\/10.1515\/cmam-2023-0094","relation":{},"ISSN":["1609-4840","1609-9389"],"issn-type":[{"type":"print","value":"1609-4840"},{"type":"electronic","value":"1609-9389"}],"subject":[],"published":{"date-parts":[[2023,10,6]]}}}