{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,14]],"date-time":"2026-03-14T08:04:34Z","timestamp":1773475474090,"version":"3.50.1"},"reference-count":25,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Numer. Anal."],"published-print":{"date-parts":[[2023,6,30]]},"DOI":"10.1137\/21m1465718","type":"journal-article","created":{"date-parts":[[2023,6,14]],"date-time":"2023-06-14T08:15:43Z","timestamp":1686730543000},"page":"1513-1545","source":"Crossref","is-referenced-by-count":22,"title":["Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations"],"prefix":"10.1137","volume":"61","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0313-5387","authenticated-orcid":true,"given":"Carlo","family":"Marcati","sequence":"first","affiliation":[{"name":"Seminar for Applied Mathematics, ETH Zurich, Zurich, 8092, Switzerland. Current address: Dipartimento di Matematica \u201cF. Casorati\u201d, University of Pavia, Pavia, 27100, Italy."}]},{"given":"Christoph","family":"Schwab","sequence":"additional","affiliation":[{"name":"Seminar for Applied Mathematics, ETH Zurich, Zurich, 8092, Switzerland."}]}],"member":"351","published-online":{"date-parts":[[2023,6,14]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/s00332-018-9525-3"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/s10409-021-01148-1"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-30726-6"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/72.286886"},{"key":"ref5","series-title":"Oxford Lecture Series in Mathematics and its Applications 17","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198565543.001.0001","volume-title":"An Introduction to Homogenization","author":"Cioranescu D.","year":"1999"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1142\/S0218202505000480"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2022.06.019"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/s40304-018-0127-z"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2021.3062161"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/drab031"},{"key":"ref14","first-page":"1","volume":"22","author":"Kovachki N.","year":"2021","journal-title":"J. Mach. Learn. Res."},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/s00365-021-09551-4"},{"key":"ref17","volume":"6","author":"Lanthaler S.","year":"2022","journal-title":"Trans. Math. Appl."},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1038\/s42256-021-00302-5"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-022-09565-9"},{"key":"ref22","series-title":"Classics in Mathematics","volume-title":"Multiple Integrals in the Calculus of Variations","author":"Morrey C. B.","year":"2008"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1142\/S0219530519410136"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/s00365-021-09542-5"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2018.08.019"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-49316-9"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2018.10.045"},{"key":"ref28","first-page":"1","volume":"24","author":"Ruf J.","year":"2020","journal-title":"J. Comp. Finance"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1142\/S0219530518500203"},{"key":"ref30","volume-title":"Linear Algebra and Learning from Data","volume":"4","author":"Strang G.","year":"2019"},{"key":"ref31","series-title":"Pure and Applied Mathematics 71","volume-title":"A First Course in Rational Continuum Mechanics. Vol. 1","author":"Truesdell C. A.","year":"1991","edition":"2"}],"container-title":["SIAM Journal on Numerical Analysis"],"original-title":[],"language":"en","deposited":{"date-parts":[[2023,12,15]],"date-time":"2023-12-15T02:08:13Z","timestamp":1702606093000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/21M1465718"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,6,14]]},"references-count":25,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2023,6,30]]}},"alternative-id":["10.1137\/21M1465718"],"URL":"https:\/\/doi.org\/10.1137\/21m1465718","relation":{},"ISSN":["0036-1429","1095-7170"],"issn-type":[{"value":"0036-1429","type":"print"},{"value":"1095-7170","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,6,14]]}}}