{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T16:28:43Z","timestamp":1787329723903,"version":"build-2736575974"},"reference-count":14,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","funder":[{"DOI":"10.13039\/501100002924","name":"Federaci\u00f3n Espa\u00f1ola de Enfermedades Raras","doi-asserted-by":"publisher","award":["VA024P17"],"award-info":[{"award-number":["VA024P17"]}],"id":[{"id":"10.13039\/501100002924","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003329","name":"Ministerio de Econom\u00eda y Competitividad","doi-asserted-by":"publisher","award":["MTM 2015-66837-P"],"award-info":[{"award-number":["MTM 2015-66837-P"]}],"id":[{"id":"10.13039\/501100003329","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Numer. Anal."],"published-print":{"date-parts":[[2018,1]]},"abstract":"<jats:p>In this paper a technique is suggested to integrate linear initial boundary value problems with exponential quadrature rules in such a way that the order in time is as high as possible. A thorough error analysis is given both for the classical approach of integrating the problem first in space and then in time and for doing it in the reverse order in a suitable manner. Time-dependent boundary conditions are considered with both approaches and full discretization formulas are given to implement the methods once the quadrature nodes have been chosen for the time integration and a particular (although very general) scheme is selected for the space discretization. Numerical experiments are shown which corroborate that, for example with the suggested technique, order $2s$ is obtained when choosing the $s$ nodes of the Gaussian quadrature rule.<\/jats:p>","DOI":"10.1137\/17m1124279","type":"journal-article","created":{"date-parts":[[2018,5,1]],"date-time":"2018-05-01T11:57:24Z","timestamp":1525175844000},"page":"1187-1209","source":"Crossref","is-referenced-by-count":12,"title":["Exponential Quadrature Rules Without Order Reduction for Integrating Linear Initial Boundary Value Problems"],"prefix":"10.1137","volume":"56","author":[{"given":"Begon\u0342a","family":"Cano","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mar\u00eda Jes\u00fas","family":"Moreta","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2018,5,1]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1016\/S0168-9274(99)00144-0"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-04-01660-6"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1016\/j.apnum.2017.02.010"},{"key":"atypb4","first-page":"2091","volume":"37","author":"Alonso-Mallo I.","year":"2017","journal-title":"IMA J. Numer. Anal."},{"key":"atypb5","unstructured":"I. Alonso-Mallo, B. Cano, and N. Reguera,\n                      Avoiding Order Reduction when Integrating Reaction-Diffusion Boundary Value Problems with Exponential Splitting Methods\n                      ,arXiv:1705.01857."},{"key":"atypb6","volume-title":"Approximations spectrales de problemes aux limites elliptiques","author":"Bernardy C.","year":"1992"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1137\/12089226X"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1016\/j.apnum.2004.08.005"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492910000048"},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1137\/0704033"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1145\/2168773.2168781"},{"key":"atypb12","doi-asserted-by":"publisher","DOI":"10.1017\/S0308210500022393"},{"key":"atypb13","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-85268-1"},{"key":"atypb14","volume-title":"Wadsworth & Brooks","author":"Strikwerda J. C.","year":"1989"}],"container-title":["SIAM Journal on Numerical Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/17M1124279","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T15:30:23Z","timestamp":1787326223000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/17M1124279"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,1]]},"references-count":14,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2018,1]]}},"alternative-id":["10.1137\/17M1124279"],"URL":"https:\/\/doi.org\/10.1137\/17m1124279","relation":{},"ISSN":["0036-1429","1095-7170"],"issn-type":[{"value":"0036-1429","type":"print"},{"value":"1095-7170","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,1]]}}}