{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,30]],"date-time":"2026-06-30T20:03:18Z","timestamp":1782849798000,"version":"3.54.5"},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Comput. Methods Appl. Math."],"published-print":{"date-parts":[[2012]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p> A finite difference scheme on special piecewise-uniform grids\ncondensing in the interior layer is constructed for a singularly\nperturbed parabolic convection-diffusion equation with a\ndiscontinuous right-hand side and a multiple degenerating convective\nterm (the convective flux is directed into the domain).\nWhen constructing the scheme, monotone grid approximations, similar\nto those developed and justified earlier by authors for a problem\nwith a simple degenerating convective term, are used. Using the\nknown technique of numerical experiments on embedded meshes, it is\nnumerically verified that the constructed scheme converges\n\u03b5-uniformly in the maximum norm at the convergence rate\nclose to one.<\/jats:p>","DOI":"10.2478\/cmam-2012-0014","type":"journal-article","created":{"date-parts":[[2012,5,3]],"date-time":"2012-05-03T00:11:21Z","timestamp":1336003881000},"page":"139-152","source":"Crossref","is-referenced-by-count":5,"title":["Numerical Experiments for a Singularly Perturbed Parabolic Problem with Degenerating Convective Term and Discontinuous Source"],"prefix":"10.2478","volume":"12","author":[{"given":"Carmelo","family":"Clavero","sequence":"first","affiliation":[{"name":"1Department of Applied Mathematics, University of Zaragoza, Zaragoza, Spain."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jose L.","family":"Gracia","sequence":"additional","affiliation":[{"name":"1Department of Applied Mathematics, University of Zaragoza, Zaragoza, Spain."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Grigorii","family":"Shishkin","sequence":"additional","affiliation":[{"name":"1Department of Applied Mathematics, University of Zaragoza, Zaragoza, Spain."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lidia","family":"Shishkina","sequence":"additional","affiliation":[{"name":"1Department of Applied Mathematics, University of Zaragoza, Zaragoza, Spain."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"374","container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/12\/2\/article-p139.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.2478\/cmam-2012-0014\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,22]],"date-time":"2021-04-22T14:22:23Z","timestamp":1619101343000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/12\/2\/article-p139.xml"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"references-count":0,"journal-issue":{"issue":"2"},"URL":"https:\/\/doi.org\/10.2478\/cmam-2012-0014","relation":{},"ISSN":["1609-4840","1609-9389"],"issn-type":[{"value":"1609-4840","type":"print"},{"value":"1609-9389","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012]]}}}