{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,7]],"date-time":"2024-09-07T23:05:56Z","timestamp":1725750356437},"publisher-location":"Berlin, Heidelberg","reference-count":8,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642415142"},{"type":"electronic","value":"9783642415159"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-642-41515-9_33","type":"book-chapter","created":{"date-parts":[[2013,10,1]],"date-time":"2013-10-01T06:08:27Z","timestamp":1380607707000},"page":"303-310","source":"Crossref","is-referenced-by-count":1,"title":["A Singularly Perturbed Reaction-Diffusion Problem with Incompatible Boundary-Initial Data"],"prefix":"10.1007","author":[{"given":"J. L.","family":"Gracia","sequence":"first","affiliation":[]},{"given":"E.","family":"O\u2019Riordan","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"issue":"276","key":"33_CR1","doi-asserted-by":"publisher","first-page":"2071","DOI":"10.1090\/S0025-5718-2011-02469-5","volume":"80","author":"Q. Chen","year":"2011","unstructured":"Chen, Q., Qin, Z., Temam, R.: Treatment of incompatible initial and boundary data for parabolic equations in higher dimensions. Math. Comp.\u00a080(276), 2071\u20132096 (2011)","journal-title":"Math. Comp."},{"key":"33_CR2","doi-asserted-by":"crossref","unstructured":"Farrell, P.A., Hegarty, A.F., Miller, J.J.H., O\u2019Riordan, E., Shishkin, G.I.: Robust computational techniques for boundary layers. CRC Press (2000)","DOI":"10.1201\/9781482285727"},{"key":"33_CR3","first-page":"498","volume":"219","author":"J.L. Gracia","year":"2012","unstructured":"Gracia, J.L., O\u2019Riordan, E.: A singularly perturbed parabolic problem with a layer in the initial condition, Appl. Math. Comp.\u00a0219, 498\u2013510 (2012)","journal-title":"Math. Comp."},{"key":"33_CR4","first-page":"287","volume":"1","author":"P.W. Hemker","year":"1993","unstructured":"Hemker, P.W., Shishkin, G.I.: Approximation of parabolic PDEs with a discontinuous initial condition. East-West J. Numer. Math.\u00a01, 287\u2013302 (1993)","journal-title":"East-West J. Numer. Math."},{"key":"33_CR5","first-page":"375","volume":"2","author":"P.W. Hemker","year":"1994","unstructured":"Hemker, P.W., Shishkin, G.I.: Discrete approximation of singularly perturbed parabolic PDEs with a discontinuous initial condition. Comp. Fluid Dynamics J.\u00a02, 375\u2013392 (1994)","journal-title":"Comp. Fluid Dynamics J."},{"key":"33_CR6","doi-asserted-by":"publisher","first-page":"36","DOI":"10.1006\/jmaa.1997.5581","volume":"214","author":"M. Stynes","year":"1997","unstructured":"Stynes, M., O\u2019Riordan, E.: A uniformly convergent Galerkin method on a Shishkin mesh for a convection-diffusion problem. J. Math. Anal. Appl.\u00a0214, 36\u201354 (1997)","journal-title":"J. Math. Anal. Appl."},{"key":"#cr-split#-33_CR7.1","doi-asserted-by":"crossref","unstructured":"Zadorin, A.I., Zadorin, N.A.: Quadrature formulas for functions with a boundary layer component. Zh. Vychisl. Mat. Mat. Fiz.\u00a051, 1952-1962 (2011) (Russian)","DOI":"10.1134\/S0965542511110157"},{"key":"#cr-split#-33_CR7.2","unstructured":"Translation in Comput. Math. Math. Phys. 51, 1837-1846 (2011)"}],"container-title":["Lecture Notes in Computer Science","Numerical Analysis and Its Applications"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-41515-9_33","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,17]],"date-time":"2019-05-17T17:48:26Z","timestamp":1558115306000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-41515-9_33"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783642415142","9783642415159"],"references-count":8,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-41515-9_33","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2013]]}}}