{ "labelLang" : "hun", "responseDate" : "2024-03-28 21:36", "content" : { "otype" : "JournalArticle", "mtid" : 30530056, "status" : "VALIDATED", "published" : true, "comment" : "Institute of Mathematics and Computer Science, The John Paul II Catholic University of Lublin, Al. Raclawickie 14, Lublin, 20-950, Poland \n Institute of Mathematics, NAS of Belarus, 11 Surganov Str., Minsk, 20072, Belarus \n Belarusian State University, 4 Nezavisimosti avenue, Minsk, 220030, Belarus \n University of Economics, The University of Danang, 71 Ngu Hanh Son Str., Danang, 590000, Viet Nam \n Cited By :2 \n Export Date: 25 April 2022 \n Correspondence Address: Matus, P.; Institute of Mathematics, 11 Surganov Str., Belarus; email: matus@im.bas-net.by", "unhandledTickets" : 0, "deleted" : false, "lastRefresh" : "2022-04-25T16:44:46.568+0000", "lastModified" : "2019-03-03T20:54:55.705+0000", "created" : "2019-03-04T06:05:03.537+0000", "creator" : { "otype" : "Admin", "mtid" : 565, "link" : "/api/admin/565", "label" : "WoS import (admin)", "familyName" : "WoS", "givenName" : "import", "published" : true, "snippet" : true }, "lastDuplumSearch" : "2023-05-25T10:56:08.946+0000", "validated" : "2019-03-04T06:05:05.733+0000", "validator" : { "otype" : "Admin", "mtid" : 565, "link" : "/api/admin/565", "label" : "WoS import (admin)", "familyName" : "WoS", "givenName" : "import", "published" : true, "snippet" : true }, "core" : false, "citation" : true, "publicationPending" : false, "type" : { "otype" : "PublicationType", "mtid" : 24, "link" : "/api/publicationtype/24", "label" : "Folyóiratcikk", "code" : 24, "otypeName" : "JournalArticle", "listPosition" : 1, "published" : true, "oldId" : 24, "snippet" : true }, "subType" : { "otype" : "SubType", "mtid" : 10000059, "link" : "/api/subtype/10000059", "label" : "Szakcikk (Folyóiratcikk)", "name" : "Szakcikk", "nameEng" : "Article", "docType" : { "otype" : "PublicationType", "mtid" : 24, "link" : "/api/publicationtype/24", "label" : "Folyóiratcikk", "code" : 24, "otypeName" : "JournalArticle", "listPosition" : 1, "published" : true, "oldId" : 24, "snippet" : true }, "listPosition" : 101, "published" : true, "oldId" : 10000059, "snippet" : true }, "category" : { "otype" : "Category", "mtid" : 1, "link" : "/api/category/1", "label" : "Tudományos", "published" : true, "oldId" : 1, "snippet" : true }, "languages" : [ { "otype" : "Language", "mtid" : 10002, "link" : "/api/language/10002", "label" : "Angol", "name" : "Angol", "nameEng" : "English", "published" : true, "oldId" : 2, "snippet" : true } ], "firstAuthor" : "Matus, Piotr", "authorships" : [ { "otype" : "PersonAuthorship", "mtid" : 85975903, "link" : "/api/authorship/85975903", "label" : "Matus, Piotr", "listPosition" : 1, "share" : 0.0, "first" : true, "last" : false, "familyName" : "Matus", "givenName" : "Piotr", "authorTyped" : true, "editorTyped" : false, "otherTyped" : false, "type" : { "otype" : "AuthorshipType", "mtid" : 1, "link" : "/api/authorshiptype/1", "label" : "Szerző", "code" : 0, "published" : true, "oldId" : 0, "snippet" : true }, "published" : false, "snippet" : true }, { "otype" : "PersonAuthorship", "mtid" : 85975904, "link" : "/api/authorship/85975904", "label" : "Poliakov, Dmitriy", "listPosition" : 2, "share" : 0.0, "first" : false, "last" : false, "familyName" : "Poliakov", "givenName" : "Dmitriy", "authorTyped" : true, "editorTyped" : false, "otherTyped" : false, "type" : { "otype" : "AuthorshipType", "mtid" : 1, "link" : "/api/authorshiptype/1", "label" : "Szerző", "code" : 0, "published" : true, "oldId" : 0, "snippet" : true }, "published" : false, "snippet" : true }, { "otype" : "PersonAuthorship", "mtid" : 85975905, "link" : "/api/authorship/85975905", "label" : "Hieu, Le Minh", "listPosition" : 3, "share" : 0.0, "first" : false, "last" : true, "familyName" : "Hieu", "givenName" : "Le Minh", "authorTyped" : true, "editorTyped" : false, "otherTyped" : false, "type" : { "otype" : "AuthorshipType", "mtid" : 1, "link" : "/api/authorshiptype/1", "label" : "Szerző", "code" : 0, "published" : true, "oldId" : 0, "snippet" : true }, "published" : false, "snippet" : true } ], "title" : "On the consistent two-side estimates for the solutions of quasilinear convection-diffusion equations and their approximations on non-uniform grids", "identifiers" : [ { "otype" : "PublicationIdentifier", "mtid" : 15373238, "link" : "/api/publicationidentifier/15373238", "label" : "DOI: 10.1016/j.cam.2017.09.020", "source" : { "otype" : "PlainSource", "mtid" : 6, "link" : "/api/publicationsource/6", "label" : "DOI", "type" : { "otype" : "PublicationSourceType", "mtid" : 10001, "link" : "/api/publicationsourcetype/10001", "label" : "DOI", "mayHaveOa" : true, "published" : true, "snippet" : true }, "name" : "DOI", "nameEng" : "DOI", "linkPattern" : "https://doi.org/@@@", "publiclyVisible" : true, "published" : true, "oldId" : 6, "snippet" : true }, "validState" : "IDENTICAL", "idValue" : "10.1016/j.cam.2017.09.020", "realUrl" : "https://doi.org/10.1016%2Fj.cam.2017.09.020", "published" : false, "snippet" : true }, { "otype" : "PublicationIdentifier", "mtid" : 15373237, "link" : "/api/publicationidentifier/15373237", "label" : "WoS: 000440264600038", "source" : { "otype" : "PlainSource", "mtid" : 1, "link" : "/api/publicationsource/1", "label" : "WoS", "type" : { "otype" : "PublicationSourceType", "mtid" : 10003, "link" : "/api/publicationsourcetype/10003", "label" : "Indexelő adatbázis", "mayHaveOa" : false, "published" : true, "snippet" : true }, "name" : "WoS", "nameEng" : "WoS", "linkPattern" : "http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=CustomerName&SrcApp=CustomerName&DestLinkType=FullRecord&KeyUT=@@@&DestApp=WOS", "publiclyVisible" : true, "published" : true, "oldId" : 1, "snippet" : true }, "validState" : "IDENTICAL", "idValue" : "000440264600038", "realUrl" : "http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=CustomerName&SrcApp=CustomerName&DestLinkType=FullRecord&KeyUT=000440264600038&DestApp=WOS", "published" : false, "snippet" : true }, { "otype" : "PublicationIdentifier", "mtid" : 20903766, "link" : "/api/publicationidentifier/20903766", "label" : "Scopus: 85030857592", "source" : { "otype" : "PlainSource", "mtid" : 3, "link" : "/api/publicationsource/3", "label" : "Scopus", "type" : { "otype" : "PublicationSourceType", "mtid" : 10003, "link" : "/api/publicationsourcetype/10003", "label" : "Indexelő adatbázis", "mayHaveOa" : false, "published" : true, "snippet" : true }, "name" : "Scopus", "linkPattern" : "http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-@@@", "publiclyVisible" : true, "published" : true, "oldId" : 3, "snippet" : true }, "validState" : "IDENTICAL", "idValue" : "85030857592", "realUrl" : "http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85030857592", "published" : false, "snippet" : true } ], "journal" : { "otype" : "Journal", "mtid" : 2396, "link" : "/api/journal/2396", "label" : "JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 0377-0427", "pIssn" : "0377-0427", "reviewType" : "REVIEWED", "noIF" : false, "sciIndexed" : true, "scopusIndexed" : true, "lang" : "FOREIGN", "hungarian" : false, "published" : true, "oldId" : 2396, "snippet" : true }, "volume" : "340", "firstPage" : "571", "lastPage" : "581", "firstPageOrInternalIdForSort" : "571", "pageLength" : 11, "publishedYear" : 2018, "abstractText" : "A new second-order in space linearized difference scheme on non-uniform grid that approximates the Dirichlet problem for multidimensional quasilinear convection-diffusion equation with unbounded nonlinearity is constructed. Proposed algorithm is a novel nonlinear generalization of difference schemes for linear problems developed earlier by the authors. Nontrivial two-side pointwise estimates of the solution of the scheme fully consistent with the corresponding estimates for the differential problem are established. Such estimates permit to prove the nonnegativity of the exact solution, important in physical problems, and also to find sufficient conditions on the input data when the nonlinear problem is parabolic. As a result a priori estimates of the approximate solution in the grid norm C that depend on the initial and boundary conditions and on the right-hand side only are proved. (C) 2017 Elsevier B.V. All rights reserved.", "subjects" : [ { "otype" : "Classification", "mtid" : 10003, "link" : "/api/classification/10003", "label" : "Matematika", "published" : true, "snippet" : true } ], "keywords" : [ { "otype" : "Keyword", "mtid" : 1051990, "link" : "/api/keyword/1051990", "label" : "Maximum principle", "published" : true, "oldId" : 1051990, "snippet" : true }, { "otype" : "Keyword", "mtid" : 1646342, "link" : "/api/keyword/1646342", "label" : "Monotone difference scheme", "published" : true, "snippet" : true }, { "otype" : "Keyword", "mtid" : 1646343, "link" : "/api/keyword/1646343", "label" : "Quasilinear convection-diffusion equation", "published" : true, "snippet" : true }, { "otype" : "Keyword", "mtid" : 1646344, "link" : "/api/keyword/1646344", "label" : "Second order of approximation", "published" : true, "snippet" : true }, { "otype" : "Keyword", "mtid" : 1646345, "link" : "/api/keyword/1646345", "label" : "Non-uniform grid", "published" : true, "snippet" : true } ], "digital" : null, "printed" : null, "sourceYear" : 2019, "foreignEdition" : true, "foreignLanguage" : true, "fullPublication" : true, "conferencePublication" : false, "nationalOrigin" : null, "missingAuthor" : false, "oaType" : "NONE", "oaCheckDate" : "2022-04-25", "oaFree" : false, "citationCount" : 0, "citationCountUnpublished" : 0, "citationCountWoOther" : 0, "independentCitCountWoOther" : 0, "doiCitationCount" : 0, "wosCitationCount" : 0, "scopusCitationCount" : 0, "independentCitationCount" : 0, "unhandledCitationCount" : 0, "citingPubCount" : 0, "independentCitingPubCount" : 0, "unhandledCitingPubCount" : 0, "citedPubCount" : 2, "citedCount" : 2, "ratings" : [ { "otype" : "SjrRating", "mtid" : 10742270, "link" : "/api/sjrrating/10742270", "label" : "sjr:Q2 (2018) Scopus - Applied Mathematics JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 0377-0427", "listPos" : 137, "rankValue" : 0.49, "type" : "journal", "ratingType" : { "otype" : "RatingType", "mtid" : 10002, "link" : "/api/ratingtype/10002", "label" : "sjr", "code" : "sjr", "published" : true, "snippet" : true }, "subject" : { "otype" : "ClassificationExternal", "mtid" : 2604, "link" : "/api/classificationexternal/2604", "label" : "Scopus - Applied Mathematics", "published" : true, "oldId" : 2604, "snippet" : true }, "ranking" : "Q2", "calculation" : "DIRECT", "published" : true, "snippet" : true } ], "ratingsForSort" : "Q2", "hasCitationDuplums" : false, "directInstitutesForSort" : "", "ownerAuthorCount" : 3, "ownerInstituteCount" : 19, "directInstituteCount" : 0, "authorCount" : 3, "contributorCount" : 0, "hasQualityFactor" : true, "link" : "/api/publication/30530056", "label" : "Matus Piotr et al. On the consistent two-side estimates for the solutions of quasilinear convection-diffusion equations and their approximations on non-uniform grids. (2018) JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 0377-0427 1879-1778 340 571-581", "template" : "