{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T14:39:10Z","timestamp":1742913550815,"version":"3.40.3"},"publisher-location":"Cham","reference-count":9,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319107042"},{"type":"electronic","value":"9783319107059"}],"license":[{"start":{"date-parts":[[2014,10,31]],"date-time":"2014-10-31T00:00:00Z","timestamp":1414713600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2014,10,31]],"date-time":"2014-10-31T00:00:00Z","timestamp":1414713600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015]]},"DOI":"10.1007\/978-3-319-10705-9_34","type":"book-chapter","created":{"date-parts":[[2014,12,2]],"date-time":"2014-12-02T14:51:54Z","timestamp":1417531914000},"page":"345-353","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Approximating the Matrix Exponential of an Advection-Diffusion Operator Using the Incomplete Orthogonalization Method"],"prefix":"10.1007","author":[{"given":"Antti","family":"Koskela","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,10,31]]},"reference":[{"key":"34_CR1","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1007\/s10543-013-0446-0","volume":"54","author":"M. Caliari","year":"2014","unstructured":"M. Caliari, P. Kandolf, A. Ostermann, S. Rainer, Comparison of software for computing the action of the matrix exponential. BIT 54, 113\u2013118 (2014)","journal-title":"BIT"},{"key":"34_CR2","doi-asserted-by":"publisher","first-page":"2481","DOI":"10.1137\/050633846","volume":"44","author":"M. Eiermann","year":"2005","unstructured":"M. Eiermann, O.G. Ernst, A restarted Krylov subspace method for the evaluation of matrix functions. SIAM J. Numer. Anal. 44, 2481\u20132504 (2005)","journal-title":"SIAM J. Numer. Anal."},{"key":"34_CR3","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898717778","volume-title":"Functions of Matrices: Theory and Computation","author":"N.J. Higham","year":"2008","unstructured":"N.J. Higham, Functions of Matrices: Theory and Computation (SIAM, Philadelphia, 2008)"},{"key":"34_CR4","doi-asserted-by":"publisher","first-page":"1911","DOI":"10.1137\/S0036142995280572","volume":"34","author":"M. Hochbruck","year":"1997","unstructured":"M. Hochbruck, C. Lubich, On Krylov subspace approximations to the matrix exponential operator. SIAM J. Numer. Anal. 34, 1911\u20131925 (1997)","journal-title":"SIAM J. Numer. Anal."},{"key":"34_CR5","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1017\/S0962492910000048","volume":"19","author":"M. Hochbruck","year":"2010","unstructured":"M. Hochbruck, A. Ostermann, Exponential integrators. Acta Numer. 19, 209\u2013286 (2010)","journal-title":"Acta Numer."},{"key":"34_CR6","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511840371","volume-title":"Topics in Matrix Analysis","author":"R.A. Horn","year":"1991","unstructured":"R.A. Horn, C.R. Johnson, Topics in Matrix Analysis (Cambridge University Press, Cambridge, 1991)"},{"key":"34_CR7","doi-asserted-by":"publisher","first-page":"269","DOI":"10.1016\/0024-3795(80)90169-X","volume":"34","author":"Y. Saad","year":"1980","unstructured":"Y. Saad, Variations on Arnoldi\u2019s method for computing eigenelements of large unsymmetric matrices. Linear Algebra Appl. 34, 269\u2013295 (1980)","journal-title":"Linear Algebra Appl."},{"key":"34_CR8","doi-asserted-by":"publisher","first-page":"485","DOI":"10.1137\/0719031","volume":"19","author":"Y. Saad","year":"1982","unstructured":"Y. Saad, The Lanczos biorthogonalization algorithm and other oblique projection methods for solving large unsymmetric systems. SIAM J. Numer. Anal. 19, 485\u2013506 (1982)","journal-title":"SIAM J. Numer. Anal."},{"key":"34_CR9","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1137\/0729014","volume":"29","author":"Y. Saad","year":"1992","unstructured":"Y. Saad, Analysis of some Krylov subspace approximations to the matrix exponential operator. SIAM J. Numer. Anal. 29, 209\u2013228 (1992)","journal-title":"SIAM J. Numer. Anal."}],"container-title":["Lecture Notes in Computational Science and Engineering","Numerical Mathematics and Advanced Applications - ENUMATH 2013"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-10705-9_34","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,20]],"date-time":"2023-02-20T17:33:35Z","timestamp":1676914415000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-319-10705-9_34"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,10,31]]},"ISBN":["9783319107042","9783319107059"],"references-count":9,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-10705-9_34","relation":{},"ISSN":["1439-7358","2197-7100"],"issn-type":[{"type":"print","value":"1439-7358"},{"type":"electronic","value":"2197-7100"}],"subject":[],"published":{"date-parts":[[2014,10,31]]},"assertion":[{"value":"31 October 2014","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}