{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T19:36:20Z","timestamp":1775504180177,"version":"3.50.1"},"reference-count":30,"publisher":"Association for Computing Machinery (ACM)","issue":"1","license":[{"start":{"date-parts":[[2007,3,1]],"date-time":"2007-03-01T00:00:00Z","timestamp":1172707200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Trans. Math. Softw."],"published-print":{"date-parts":[[2007,3]]},"abstract":"<jats:p>\n            Recently, a great deal of attention has been focused on the construction of exponential integrators for semilinear problems. In this article we describe a MATLAB\n            <jats:sup>1<\/jats:sup>\n            package which aims to facilitate the quick deployment and testing of exponential integrators, of Runge--Kutta, multistep, and general linear type. A large number of integrators are included in this package along with several well-known examples. The so-called \u03c6 functions and their evaluation is crucial for accuracy, stability, and efficiency of exponential integrators, and the approach taken here is through a modification of the scaling and squaring technique, the most common approach used for computing the matrix exponential.\n          <\/jats:p>","DOI":"10.1145\/1206040.1206044","type":"journal-article","created":{"date-parts":[[2007,4,5]],"date-time":"2007-04-05T19:20:08Z","timestamp":1175800808000},"page":"4","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":110,"title":["EXPINT---A MATLAB package for exponential integrators"],"prefix":"10.1145","volume":"33","author":[{"given":"H\u00e5vard","family":"Berland","sequence":"first","affiliation":[{"name":"Norwegian University of Science and Technology, Trondheim, Norway"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"B\u00e5rd","family":"Skaflestad","sequence":"additional","affiliation":[{"name":"Norwegian University of Science and Technology, Trondheim, Norway"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Will M.","family":"Wright","sequence":"additional","affiliation":[{"name":"Norwegian University of Science and Technology, Trondheim, Norway"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2007,3]]},"reference":[{"key":"e_1_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1137\/040612683"},{"key":"e_1_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.1998.6093"},{"key":"e_1_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01933191"},{"key":"e_1_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-0427(00)00455-6"},{"key":"e_1_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-005-0627-0"},{"key":"e_1_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-739X(02)00161-9"},{"key":"e_1_2_1_7_1","volume-title":"Mathematical Methods for Digital Computers","author":"Certaine J."},{"key":"e_1_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.2002.6995"},{"key":"e_1_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.1093\/imamat\/16.1.11"},{"key":"e_1_2_1_10_1","series-title":"Lecture Notes in Mathematics","volume-title":"Numerical Treatment of Differential Equations","author":"Friedli A."},{"key":"e_1_2_1_11_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01060992"},{"key":"e_1_2_1_12_1","doi-asserted-by":"publisher","DOI":"10.1137\/0913071"},{"key":"e_1_2_1_13_1","doi-asserted-by":"crossref","unstructured":"Higham N. J. 2002. Accuracy and stability of numerical algorithms 2nd ed. Society for Industrial and Applied Mathematics (SIAM) Philadelphia PA.   Higham N. J. 2002. Accuracy and stability of numerical algorithms 2nd ed. Society for Industrial and Applied Mathematics (SIAM) Philadelphia PA.","DOI":"10.1137\/1.9780898718027"},{"key":"e_1_2_1_14_1","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142995280572"},{"key":"e_1_2_1_15_1","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827595295337"},{"key":"e_1_2_1_16_1","doi-asserted-by":"publisher","DOI":"10.1137\/040611434"},{"key":"e_1_2_1_17_1","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827502410633"},{"key":"e_1_2_1_18_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2004.08.006"},{"key":"e_1_2_1_19_1","doi-asserted-by":"publisher","DOI":"10.1137\/0704033"},{"key":"e_1_2_1_20_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2003.08.006"},{"key":"e_1_2_1_21_1","unstructured":"Minchev B. and Wright W. M. 2005. A review of exponential integrators for semilinear problems. Tech. rep. 2\/05. Department of Mathematical Sciences Norwegian University of Science and Technology Trondheim Norway. Available online at http:\/\/www.math.ntnu.no\/preprint\/.  Minchev B. and Wright W. M. 2005. A review of exponential integrators for semilinear problems. Tech. rep. 2\/05. Department of Mathematical Sciences Norwegian University of Science and Technology Trondheim Norway. Available online at http:\/\/www.math.ntnu.no\/preprint\/."},{"key":"e_1_2_1_22_1","doi-asserted-by":"publisher","DOI":"10.1137\/S00361445024180"},{"key":"e_1_2_1_23_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0168-9274(98)00030-0"},{"key":"e_1_2_1_24_1","volume-title":"Conference on Numerical Solution of Differential Equations (Dundee","year":"1969"},{"key":"e_1_2_1_25_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10543-006-0054-3"},{"key":"e_1_2_1_26_1","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-1981-0616364-6"},{"key":"e_1_2_1_27_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.apnum.2008.03.035"},{"key":"e_1_2_1_28_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF02249938"},{"key":"e_1_2_1_29_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01934189"},{"key":"e_1_2_1_30_1","volume-title":"North-Holland Series in Applied Mathematics and Mechanics","volume":"19","author":"van der Houwen P. 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