{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,3,12]],"date-time":"2024-03-12T11:10:04Z","timestamp":1710241804465},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2009,4,4]],"date-time":"2009-04-04T00:00:00Z","timestamp":1238803200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2009,10]]},"DOI":"10.1007\/s10915-009-9291-3","type":"journal-article","created":{"date-parts":[[2009,4,3]],"date-time":"2009-04-03T15:02:09Z","timestamp":1238770929000},"page":"139-164","source":"Crossref","is-referenced-by-count":18,"title":["Semi-Lagrangian Runge-Kutta Exponential Integrators for Convection Dominated Problems"],"prefix":"10.1007","volume":"41","author":[{"given":"Elena","family":"Celledoni","sequence":"first","affiliation":[]},{"given":"Bawfeh Kingsley","family":"Kometa","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2009,4,4]]},"reference":[{"key":"9291_CR1","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1016\/S0168-9274(97)00056-1","volume":"25","author":"U.M. Ascher","year":"1997","unstructured":"Ascher, U.M., Ruuth, S.J., Spiteri,\u00a0R.: Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations. Appl. Numer. Math. 25, 151\u2013167 (1997)","journal-title":"Appl. Numer. Math."},{"key":"9291_CR2","doi-asserted-by":"crossref","first-page":"797","DOI":"10.1137\/0732037","volume":"32","author":"U.M. Ascher","year":"1995","unstructured":"Ascher, U.M., Ruuth, S.J., Wetton, B.T.R.: Implicit-explicit methods for time-dependent partial differential equations. SIAM J. Numer. Anal. 32, 797\u2013823 (1995)","journal-title":"SIAM J. Numer. Anal."},{"key":"9291_CR3","series-title":"Monographs on Numerical Analysis","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198534679.001.0001","volume-title":"Moving Finite Elements","author":"M.J. Baines","year":"1994","unstructured":"Baines, M.J.: Moving Finite Elements. Monographs on Numerical Analysis. Clarendon Press, Oxford (1994)"},{"key":"9291_CR4","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-84108-8","volume-title":"Spectral Methods in Fluid Dynamics","author":"C. Canuto","year":"1988","unstructured":"Canuto,\u00a0C., Hussaini, M.Y., Quarteroni,\u00a0A., Zang, T.A.: Spectral Methods in Fluid Dynamics. Springer, Berlin (1988)"},{"key":"9291_CR5","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF02429858","volume":"3","author":"P.E. Crouch","year":"1993","unstructured":"Crouch, P.E., Grossman,\u00a0R.: Numerical integration of ordinary differential equations on manifolds. J.\u00a0Nonlinear Sci. 3, 1\u201333 (1993)","journal-title":"J.\u00a0Nonlinear Sci."},{"key":"9291_CR6","first-page":"341","volume":"19","author":"E. Celledoni","year":"2003","unstructured":"Celledoni,\u00a0E., Marthinsen,\u00a0A., Owren,\u00a0B.: Commutator-free Lie group methods. FCGS 19, 341\u2013352 (2003)","journal-title":"FCGS"},{"key":"9291_CR7","first-page":"19","volume":"39","author":"E. Celledoni","year":"2004","unstructured":"Celledoni,\u00a0E.: Eulerian and semi-Lagrangian commutator-free exponential integrators. CRM Proc. 39, 19 (2004)","journal-title":"CRM Proc."},{"key":"9291_CR8","unstructured":"Celledoni,\u00a0E., Kometa, B.K.: Order conditions for the semi-Lagrangian exponential integrators. Preprint numerics nr.\u00a04, Department of Mathematical Sciences, NTNU, Trondheim, Norway (2009)"},{"key":"9291_CR9","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1016\/S0168-9274(97)00033-0","volume":"24","author":"E. Celledoni","year":"1997","unstructured":"Celledoni,\u00a0E., Moret,\u00a0I.: A\u00a0Krylov projection method for systems of ODEs. Appl. Numer. Math. 24, 365\u2013378 (1997)","journal-title":"Appl. Numer. Math."},{"issue":"3","key":"9291_CR10","first-page":"303","volume":"8","author":"E. Celledoni","year":"2008","unstructured":"Celledoni,\u00a0E., Cohen,\u00a0D., Owren,\u00a0B.: Symmetric exponential integrators for the cubic Schroedinger equation. J.\u00a0FoCM 8(3), 303\u2013317 (2008)","journal-title":"J.\u00a0FoCM"},{"key":"9291_CR11","series-title":"Springer Series in Computational Mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-05221-7","volume-title":"Solving Ordinary Differential Equations\u00a0II","author":"E. Hairer","year":"1996","unstructured":"Hairer,\u00a0E., Wanner,\u00a0G.: Solving Ordinary Differential Equations\u00a0II, 2nd edn. Springer Series in Computational Mathematics. Springer, Berlin (1996)","edition":"2"},{"issue":"11","key":"9291_CR12","doi-asserted-by":"crossref","first-page":"1623","DOI":"10.1002\/cpa.20183","volume":"60","author":"T. Grava","year":"2007","unstructured":"Grava,\u00a0T., Klein,\u00a0C.: Numerical solution of the small dispersion limit of Korteweg-de Vries and Whitham equations. Commun. Pure Appl. Math. 60(11), 1623\u20131664 (2007)","journal-title":"Commun. Pure Appl. Math."},{"key":"9291_CR13","doi-asserted-by":"crossref","first-page":"623","DOI":"10.1016\/S0021-9991(03)00300-0","volume":"190","author":"F.X. Giraldo","year":"2003","unstructured":"Giraldo, F.X., Perot, J.B., Fischer, P.F.: A\u00a0spectral element semi-Lagrangian (SESL) method for the spherical shallow water equations. J.\u00a0Comput. Phys. 190, 623\u2013650 (2003)","journal-title":"J.\u00a0Comput. Phys."},{"key":"9291_CR14","volume-title":"Computer Simulations Using Particles","author":"R.W. Hockney","year":"1981","unstructured":"Hockney, R.W., Eastwood, J.W.: Computer Simulations Using Particles. McGraw-Hill, New York (1981)"},{"key":"9291_CR15","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1016\/S0168-9274(02)00138-1","volume":"44","author":"C.A. Kennedy","year":"2003","unstructured":"Kennedy, C.A., Carpenter, M.H.: Additive Runge-Kutta schemes for convection-diffusion-reaction equations. Appl. Numer. Math. 44, 139\u2013181 (2003)","journal-title":"Appl. Numer. Math."},{"key":"9291_CR16","doi-asserted-by":"crossref","first-page":"595","DOI":"10.1023\/B:BITN.0000046805.27551.3b","volume":"44","author":"I. Moret","year":"2004","unstructured":"Moret,\u00a0I., Novati,\u00a0P.: RD-rational approximations of the matrix exponential BIT. Numer. Math. 44, 595\u2013615 (2004)","journal-title":"Numer. Math."},{"key":"9291_CR17","doi-asserted-by":"crossref","first-page":"5585","DOI":"10.1088\/0305-4470\/39\/19\/S15","volume":"39","author":"B. Owren","year":"2006","unstructured":"Owren,\u00a0B.: Order conditions for commutator-free Lie group methods. J.\u00a0Phys.\u00a0A 39, 5585\u20135599 (2006)","journal-title":"J.\u00a0Phys.\u00a0A"},{"key":"9291_CR18","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1007\/BF01396435","volume":"38","author":"O. Pirroneau","year":"1982","unstructured":"Pirroneau,\u00a0O.: On the transport-diffusion algorithm and its applications to the Navier-Stokes equations. Numer. Math. 38, 309\u2013332 (1982)","journal-title":"Numer. Math."},{"key":"9291_CR19","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1155\/1999\/46852","volume":"9","author":"P. Pietra","year":"1999","unstructured":"Pietra,\u00a0P., Pohl,\u00a0C.: Weak limits of the quantum hydrodynamic model. VLSI Des. 9, 427\u2013434 (1999)","journal-title":"VLSI Des."},{"issue":"3","key":"9291_CR20","doi-asserted-by":"crossref","first-page":"547","DOI":"10.1137\/0912030","volume":"12","author":"M.D. Rees","year":"1991","unstructured":"Rees, M.D., Morton, K.W.: Moving point, particle and free Lagrange methods for convection-diffusion equations. SIAM J. Sci. Stat. Comput. 12(3), 547\u2013572 (1991)","journal-title":"SIAM J. Sci. Stat. Comput."},{"key":"9291_CR21","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-009-9992-3","volume-title":"Physical Fluid Dynamics","author":"D.J. Tritton","year":"1977","unstructured":"Tritton, D.J.: Physical Fluid Dynamics. Van Nostrand Reinhold, London (1977)"},{"key":"9291_CR22","doi-asserted-by":"crossref","first-page":"658","DOI":"10.1006\/jcph.2001.6847","volume":"172","author":"D. Xiu","year":"2001","unstructured":"Xiu,\u00a0D., Karniadakis, G.E.: A\u00a0semi-Lagrangian high-order method for Navier-Stokes equation. J.\u00a0Comput. Phys. 172, 658\u2013684 (2001)","journal-title":"J.\u00a0Comput. Phys."},{"issue":"2","key":"9291_CR23","doi-asserted-by":"crossref","first-page":"976","DOI":"10.1016\/j.jcp.2006.07.005","volume":"219","author":"Z. Zheng","year":"2006","unstructured":"Zheng,\u00a0Z., Petzold,\u00a0L.: Runge-Kutta-Chebyshev projection method. J.\u00a0Comput. Phys. 219(2), 976\u2013991 (2006)","journal-title":"J.\u00a0Comput. Phys."}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-009-9291-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-009-9291-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-009-9291-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,12]],"date-time":"2024-03-12T10:30:16Z","timestamp":1710239416000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-009-9291-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,4,4]]},"references-count":23,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2009,10]]}},"alternative-id":["9291"],"URL":"https:\/\/doi.org\/10.1007\/s10915-009-9291-3","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,4,4]]}}}