{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,4]],"date-time":"2024-09-04T21:57:59Z","timestamp":1725487079943},"publisher-location":"Berlin, Heidelberg","reference-count":11,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540418146"},{"type":"electronic","value":"9783540452621"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2001]]},"DOI":"10.1007\/3-540-45262-1_46","type":"book-chapter","created":{"date-parts":[[2007,7,2]],"date-time":"2007-07-02T16:29:48Z","timestamp":1183393788000},"page":"393-401","source":"Crossref","is-referenced-by-count":0,"title":["Acceleration by Parallel Computations of Solving High-Order Time-Accurate Difference Schemes for Singularly Perturbed Convection-Diffusion Problems"],"prefix":"10.1007","author":[{"given":"Pieter W.","family":"Hemker","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Grigorii I.","family":"Shishkin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lidia P.","family":"Shishkina","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2002,3,15]]},"reference":[{"key":"46_CR1","unstructured":"Farrell, P.A., Hemker, P.W., Shishkin, G.I.:Discrete approximations for singularly perturbed boundary value problems with parabolic layers.I J.Comput. Math.14 (1)(1996)71\u201397;II J.Comput.Math.14 (2)(1996)183.194;III J. Comput.Math.14 (3)(1996)"},{"key":"46_CR2","doi-asserted-by":"crossref","first-page":"1135","DOI":"10.1137\/0733056","volume":"33","author":"P.A. Farrell","year":"1996","unstructured":"Farrell, P.A., Miller, J.J.H., O\u2019Riordan, E., Shishkin, G.I.:A uniformly convergent finite difference scheme for a singularly perturbed semilinear equation.SIAM J.Numer.Anal.33 (1996)1135\u20131149","journal-title":"SIAM J.Numer.Anal."},{"key":"46_CR3","unstructured":"Shishkin, G.I.:Grid Approximations of Singularly Perturbed Elliptic and Parabolic Equations (in Russian).Ural Branch of Russian Acad.Sci.,Ekaterinburg (1992)"},{"key":"46_CR4","doi-asserted-by":"crossref","unstructured":"Miller, J.J.H., O\u2019 Riordan, E., Shishkin G.I.:Fitted Numerical Methods for Singular Perturbation Problems. World Scientific, Singapore (1996)","DOI":"10.1142\/2933"},{"key":"46_CR5","doi-asserted-by":"crossref","unstructured":"Roos, H.-G., Stynes, M., obiska, L.:Numerical Methods for Singularly Perturbed Differential Equations. Springer-Verlag, Berlin (1996) 393","DOI":"10.1007\/978-3-662-03206-0"},{"key":"46_CR6","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1002\/zamm.19970770111","volume":"77","author":"P.W. Hemker","year":"1997","unstructured":"Hemker, P.W., Shishkin, G.I., Shishkina, L.P.:The use of defect correction for the solution of parabolic singular perturbation problems. ZAMM 77 (1997)59\u201374","journal-title":"ZAMM"},{"key":"46_CR7","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1093\/imanum\/20.1.99","volume":"20","author":"P.W. Hemker","year":"2000","unstructured":"Hemker, P.W., Shishkin, G.I., Shishkina, L.P.:\u03b5-uniform schemes with high-order time-accuracy for parabolic singular perturbation problems. IMA J.Numer. Anal.20 (2000)99\u2013121","journal-title":"IMA J.Numer. Anal."},{"key":"46_CR8","unstructured":"Hemker, P.W., Shishkin, G.I., Shishkina, L.P.:Distributing the numerical solution of parabolic singularly perturbed problems with defect-correction over independent processes. Siberian J.Numer. Mathematics, Novosibirsk (to appear)"},{"key":"46_CR9","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1515\/rnam.1997.12.3.271","volume":"12","author":"G.I. Shishkin","year":"1997","unstructured":"Shishkin, G.I.:Acceleration of the process of the numerical solution to singularly perturbed boundary value problems for parabolic equations on the basis of parallel computations.Russ.J.Numer. Anal. Math. Modelling 12 (1997)271\u2013291","journal-title":"Russ.J.Numer. Anal. Math. Modelling"},{"key":"46_CR10","first-page":"327","volume":"5","author":"G.I. Shishkin","year":"1990","unstructured":"Shishkin, G.I.:Grid approximation of singularly perturbed elliptic equation in domain with characteristic bounds. Sov.J.Numer.Anal.Math.Modelling 5 (1990) 327\u2013343","journal-title":"Sov.J.Numer.Anal.Math.Modelling"},{"key":"46_CR11","unstructured":"Samarskii, A.A.:Theory of Difference Schemes (in Russian).Nauka, Moscow (1989)"}],"container-title":["Lecture Notes in Computer Science","Numerical Analysis and Its Applications"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-45262-1_46","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,30]],"date-time":"2019-04-30T01:31:59Z","timestamp":1556587919000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-45262-1_46"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001]]},"ISBN":["9783540418146","9783540452621"],"references-count":11,"URL":"https:\/\/doi.org\/10.1007\/3-540-45262-1_46","relation":{},"ISSN":["0302-9743"],"issn-type":[{"type":"print","value":"0302-9743"}],"subject":[],"published":{"date-parts":[[2001]]}}}