{"id":"https://openalex.org/W2333965932","doi":"https://doi.org/10.1090/mcom/3154","title":"Some discrete inequalities for central-difference type operators","display_name":"Some discrete inequalities for central-difference type operators","publication_year":2016,"publication_date":"2016-03-23","ids":{"openalex":"https://openalex.org/W2333965932","doi":"https://doi.org/10.1090/mcom/3154","mag":"2333965932"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/3154","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/3154","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047099603","display_name":"Hiroki Kojima","orcid":"https://orcid.org/0000-0002-8894-1694"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroki Kojima","raw_affiliation_strings":["Department of Mathematical Informatics, Graduate School of Information Science and Technology, The University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, 113-8656, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Informatics, Graduate School of Information Science and Technology, The University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, 113-8656, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111460517","display_name":"Takayasu Matsuo","orcid":null},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takayasu Matsuo","raw_affiliation_strings":["Department of Mathematical Informatics, Graduate School of Information Science and Technology, The University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, 113-8656, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Informatics, Graduate School of Information Science and Technology, The University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, 113-8656, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041780365","display_name":"Daisuke Furihata","orcid":"https://orcid.org/0000-0002-7849-6654"},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"The University of Osaka","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Daisuke Furihata","raw_affiliation_strings":["Cybermedia Center, Osaka University, 1-32 Machikaneyama-cho, Toyonaka City, Osaka 560-0043, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cybermedia Center, Osaka University, 1-32 Machikaneyama-cho, Toyonaka City, Osaka 560-0043, Japan","institution_ids":["https://openalex.org/I98285908"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4503,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.61138614,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"86","issue":"306","first_page":"1719","last_page":"1739"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.918188214302063},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5511061549186707},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.5436437129974365},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5098127722740173},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.4740214943885803},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4705488979816437},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4661380648612976},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.46001148223876953},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4583520293235779},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.45266374945640564},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.43896743655204773},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.40554967522621155},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3423640727996826}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.918188214302063},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5511061549186707},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.5436437129974365},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5098127722740173},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.4740214943885803},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4705488979816437},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4661380648612976},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.46001148223876953},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4583520293235779},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.45266374945640564},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.43896743655204773},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.40554967522621155},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3423640727996826},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1090/mcom/3154","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/3154","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6299999952316284,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G2298875045","display_name":"Construction of fundamental theory of difference method based on discrete function analysis and variational theory","funder_award_id":"25287030","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G3464453750","display_name":"Innovative design of electronics material based on identifying and preserving mathematical structures","funder_award_id":"16KT0016","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G6566097147","display_name":"A new development of mathematical theory of Discontinuous Galerkin FEM","funder_award_id":"15H03635","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G6954820877","display_name":"Structure-preserving numerical method for partial differential equations based on Voronoi diagram","funder_award_id":"26610038","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G8958200934","display_name":"Structure-preserving methods for stochastic differential equations","funder_award_id":"17K18736","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W254751359","https://openalex.org/W1492326914","https://openalex.org/W1495643052","https://openalex.org/W1500921805","https://openalex.org/W1545761024","https://openalex.org/W1558122728","https://openalex.org/W1973279410","https://openalex.org/W1987166016","https://openalex.org/W2014949681","https://openalex.org/W2020804487","https://openalex.org/W2023403160","https://openalex.org/W2029449803","https://openalex.org/W2031186887","https://openalex.org/W2064049924","https://openalex.org/W2066944044","https://openalex.org/W2076323407","https://openalex.org/W2080711197","https://openalex.org/W2082621526","https://openalex.org/W2085333968","https://openalex.org/W2093656165","https://openalex.org/W2095224654","https://openalex.org/W2103606462","https://openalex.org/W2134821796","https://openalex.org/W2136491192","https://openalex.org/W2145753592","https://openalex.org/W2488888595","https://openalex.org/W2521393946","https://openalex.org/W2798909945","https://openalex.org/W4236262148","https://openalex.org/W4244063180","https://openalex.org/W4245463005"],"related_works":["https://openalex.org/W4299978068","https://openalex.org/W4388311650","https://openalex.org/W1974056099","https://openalex.org/W2950745223","https://openalex.org/W2386077341","https://openalex.org/W563589758","https://openalex.org/W5922282","https://openalex.org/W2164189677","https://openalex.org/W2954004777","https://openalex.org/W2949638731"],"abstract_inverted_index":{"Discrete":[0],"versions":[1],"of":[2,20,64],"basic":[3],"inequalities":[4,59],"in":[5,17],"functional":[6],"analysis":[7,19],"such":[8,58],"as":[9],"the":[10,43,70,84],"Sobolev":[11],"inequality":[12],"play":[13],"a":[14,53,61,74,76],"key":[15],"role":[16],"theoretical":[18],"finite":[21],"difference":[22,31,46],"schemes.":[23],"They":[24],"have":[25],"been":[26],"shown":[27],"for":[28,38,56,60,79,83],"some":[29],"simple":[30],"operators,":[32,40],"but":[33],"are":[34],"still":[35],"left":[36],"open":[37],"general":[39],"even":[41],"including":[42],"standard":[44],"central":[45],"operators.":[47,67],"In":[48],"this":[49],"paper,":[50],"we":[51],"propose":[52],"systematic":[54],"approach":[55],"deriving":[57],"certain":[62,80],"class":[63],"central-difference":[65],"type":[66],"We":[68],"illustrate":[69],"results":[71],"by":[72],"giving":[73],"generic":[75],"priori":[77],"estimate":[78],"conservative":[81],"schemes":[82],"nonlinear":[85],"Schr\u00f6dinger":[86],"and":[87],"Cahn\u2013Hilliard":[88],"equations.":[89]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-09T07:52:08.696243","created_date":"2025-10-10T00:00:00"}
