{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,18]],"date-time":"2025-04-18T02:25:53Z","timestamp":1744943153389},"publisher-location":"Cham","reference-count":14,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319399270"},{"type":"electronic","value":"9783319399294"}],"license":[{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016]]},"DOI":"10.1007\/978-3-319-39929-4_28","type":"book-chapter","created":{"date-parts":[[2016,11,10]],"date-time":"2016-11-10T07:11:44Z","timestamp":1478761904000},"page":"285-293","source":"Crossref","is-referenced-by-count":5,"title":["A Simple Proposal for Parallel Computation Over Time of an Evolutionary Process with Implicit Time Stepping"],"prefix":"10.1007","author":[{"given":"Eleanor","family":"McDonald","sequence":"first","affiliation":[]},{"given":"Andy","family":"Wathen","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2016,11,11]]},"reference":[{"key":"28_CR1","unstructured":"J.\u00a0Boyle, M.D. Mihajlovic, J.A. Scott, HSL MI20: an efficient AMG preconditioner. Technical report RAL-TR-2007-021, STFC Rutherford Appleton Laboratory, Didcot (2007)"},{"key":"28_CR2","doi-asserted-by":"crossref","first-page":"2","DOI":"10.1145\/1236463.1236469","volume":"33","author":"H. Elman","year":"2007","unstructured":"H.\u00a0Elman, A.\u00a0Ramage, A.\u00a0Silvester, Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow. ACM Trans. Math. Softw. 33, 2\u201314 (2007)","journal-title":"ACM Trans. Math. Softw."},{"key":"28_CR3","doi-asserted-by":"crossref","DOI":"10.1093\/acprof:oso\/9780199678792.001.0001","volume-title":"Finite Elements and Fast Iterative Solvers: With Applications in Incompressible Fluid Dynamics","author":"H. Elman","year":"2014","unstructured":"H.\u00a0Elman, D.J. Silvester, A.J. Wathen, Finite Elements and Fast Iterative Solvers: With Applications in Incompressible Fluid Dynamics. Numerical Mathematics and Scientific Computation (Oxford University Press, Oxford, 2014)"},{"key":"28_CR4","doi-asserted-by":"crossref","first-page":"105","DOI":"10.2140\/camcos.2012.7.105","volume":"7","author":"M. Emmett","year":"2012","unstructured":"M.\u00a0Emmett, M.L. Minion, Toward an efficient parallel in time method for partial differential equations. Commun. Appl. Math. Comput. Sci. 7, 105\u2013132 (2012)","journal-title":"Commun. Appl. Math. Comput. Sci."},{"key":"28_CR5","unstructured":"M.\u00a0Gander, Overlapping schwarz for linear and nonlinear parabolic problems, in 9th International Conference on Domain Decomposition, Bergen, 1996, ed. by P.E. Bjrstad, M.S. Espedal, D.E. Keyes"},{"key":"28_CR6","volume-title":"50 years of time parallel time integration","author":"M.J. Gander","year":"2014","unstructured":"M.J. Gander, 50 years of time parallel time integration. Technical report, University of Geneva (2014)"},{"key":"28_CR7","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1137\/110856137","volume":"35","author":"M.J. Gander","year":"2013","unstructured":"M.J. Gander, S.\u00a0G\u00fcttel, PARAEXP: a parallel integrator for linear initial-value problems. SIAM J. Sci. Comput. 35, 123\u2013142 (2013)","journal-title":"SIAM J. Sci. Comput."},{"key":"28_CR8","doi-asserted-by":"crossref","first-page":"848","DOI":"10.1137\/0916050","volume":"16","author":"G. Horton","year":"1995","unstructured":"G.\u00a0Horton, S.\u00a0Vandewalle, A space-time multigrid method for parabolic partial differential equations. SIAM J. Sci. Comput. 16, 848\u2013864 (1995)","journal-title":"SIAM J. Sci. Comput."},{"key":"28_CR9","first-page":"19","volume":"34","author":"T.J.R. Hughes","year":"1979","unstructured":"T.J.R. Hughes, A.\u00a0Brooks, A multidimensional upwind scheme with no crosswind diffusion. Finite Element Methods Convect. Domin. Flows 34, 19\u201335 (1979)","journal-title":"Finite Element Methods Convect. Domin. Flows"},{"key":"28_CR10","first-page":"661","volume":"332","author":"J. Lions","year":"2001","unstructured":"J.\u00a0Lions, Y.\u00a0Maday, G.\u00a0Turinici, A \u2018parareal\u2019 in time discretization of PDE\u2019s. Comptes Rendus de l\u2019Acad. des Sci. Ser. I Math. 332, 661\u2013668 (2001)","journal-title":"Comptes Rendus de l\u2019Acad. des Sci. Ser. I Math."},{"key":"28_CR11","unstructured":"M.\u00a0Neum\u00fcller, Space-time methods: fast solvers and applications. Ph.D. thesis, Graz University of Technology (2013)"},{"key":"28_CR12","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1016\/S0377-0427(99)00234-4","volume":"110","author":"A. Ramage","year":"1999","unstructured":"A.\u00a0Ramage, A multigrid preconditioner for stabilised discretisation of advection-diffusion problems. J. Comput. Appl. Math. 110, 187\u2013203 (1999)","journal-title":"J. Comput. Appl. Math."},{"issue":"3","key":"28_CR13","doi-asserted-by":"crossref","first-page":"856","DOI":"10.1137\/0907058","volume":"7","author":"Y. Saad","year":"1986","unstructured":"Y.\u00a0Saad, M.H. Schultz, GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 7 (3), 856\u2013869 (1986)","journal-title":"SIAM J. Sci. Stat. Comput."},{"issue":"2","key":"28_CR14","doi-asserted-by":"crossref","first-page":"631","DOI":"10.1137\/0913035","volume":"13","author":"H. Vorst Van der","year":"1992","unstructured":"H.\u00a0Van\u00a0der Vorst, Bi-CGSTAB: a fast and smoothly convergent variant of Bi-CG for the solution of nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 13 (2), 631\u2013644 (1992)","journal-title":"SIAM J. Sci. Stat. Comput."}],"container-title":["Lecture Notes in Computational Science and Engineering","Numerical Mathematics and Advanced Applications ENUMATH 2015"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-39929-4_28","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,24]],"date-time":"2017-06-24T23:17:28Z","timestamp":1498346248000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-39929-4_28"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016]]},"ISBN":["9783319399270","9783319399294"],"references-count":14,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-39929-4_28","relation":{},"ISSN":["1439-7358","2197-7100"],"issn-type":[{"type":"print","value":"1439-7358"},{"type":"electronic","value":"2197-7100"}],"subject":[],"published":{"date-parts":[[2016]]}}}