{"id":"https://openalex.org/W1998904091","doi":"https://doi.org/10.1016/s0096-3003(99)00005-3","title":"Finite difference approximate solutions for the strongly damped extensible beam equations","display_name":"Finite difference approximate solutions for the strongly damped extensible beam equations","publication_year":2000,"publication_date":"2000-06-01","ids":{"openalex":"https://openalex.org/W1998904091","doi":"https://doi.org/10.1016/s0096-3003(99)00005-3","mag":"1998904091"},"language":"en","primary_location":{"id":"doi:10.1016/s0096-3003(99)00005-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(99)00005-3","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and 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/A5075858742","display_name":"Sang\u2010Mok Choo","orcid":"https://orcid.org/0000-0001-7797-5197"},"institutions":[{"id":"https://openalex.org/I158743462","display_name":"Seoul National University of Education","ror":"https://ror.org/01xts9v65","country_code":"KR","type":"education","lineage":["https://openalex.org/I158743462"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"S.M. Choo","raw_affiliation_strings":["Department of Mathematics Education, Seoul National University, Seoul 151\u2013742, South Korea","Department of Mathematics Education, Seoul National University, Seoul 151-742, South Korea#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Education, Seoul National University, Seoul 151\u2013742, South Korea","institution_ids":["https://openalex.org/I158743462"]},{"raw_affiliation_string":"Department of Mathematics Education, Seoul National University, Seoul 151-742, South Korea#TAB#","institution_ids":["https://openalex.org/I158743462"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112835619","display_name":"S.K. Chung","orcid":null},"institutions":[{"id":"https://openalex.org/I158743462","display_name":"Seoul National University of Education","ror":"https://ror.org/01xts9v65","country_code":"KR","type":"education","lineage":["https://openalex.org/I158743462"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"S.K. Chung","raw_affiliation_strings":["Department of Mathematics Education, Seoul National University, Seoul 151\u2013742, South Korea","Department of Mathematics Education, Seoul National University, Seoul 151-742, South Korea#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Education, Seoul National University, Seoul 151\u2013742, South Korea","institution_ids":["https://openalex.org/I158743462"]},{"raw_affiliation_string":"Department of Mathematics Education, Seoul National University, Seoul 151-742, South Korea#TAB#","institution_ids":["https://openalex.org/I158743462"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5075858742"],"corresponding_institution_ids":["https://openalex.org/I158743462"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":2.1088,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.87046263,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"112","issue":"1","first_page":"11","last_page":"32"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9993000030517578,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9993000030517578,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9984999895095825,"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":0.9973000288009644,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7398220896720886},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.6241982579231262},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.6048259139060974},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5888696908950806},{"id":"https://openalex.org/keywords/beam","display_name":"Beam (structure)","score":0.5674338340759277},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.4913603365421295},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4870041012763977},{"id":"https://openalex.org/keywords/finite-difference-coefficient","display_name":"Finite difference coefficient","score":0.48158717155456543},{"id":"https://openalex.org/keywords/extensibility","display_name":"Extensibility","score":0.46407631039619446},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.44840314984321594},{"id":"https://openalex.org/keywords/energy-method","display_name":"Energy method","score":0.4406220614910126},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4352302551269531},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.43226349353790283},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.41996270418167114},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.3207671046257019},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21321794390678406},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.15613630414009094},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08041644096374512}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7398220896720886},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.6241982579231262},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.6048259139060974},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5888696908950806},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.5674338340759277},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.4913603365421295},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4870041012763977},{"id":"https://openalex.org/C108268861","wikidata":"https://www.wikidata.org/wiki/Q1747602","display_name":"Finite difference coefficient","level":4,"score":0.48158717155456543},{"id":"https://openalex.org/C32833848","wikidata":"https://www.wikidata.org/wiki/Q4115054","display_name":"Extensibility","level":2,"score":0.46407631039619446},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.44840314984321594},{"id":"https://openalex.org/C2989268449","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Energy method","level":2,"score":0.4406220614910126},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4352302551269531},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.43226349353790283},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.41996270418167114},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3207671046257019},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21321794390678406},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.15613630414009094},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08041644096374512},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0096-3003(99)00005-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(99)00005-3","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land","score":0.5299999713897705}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321282","display_name":"Pohang University of Science and Technology","ror":"https://ror.org/04xysgw12"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W13811575","https://openalex.org/W1979477922","https://openalex.org/W1987212453","https://openalex.org/W1993349688","https://openalex.org/W2005912635","https://openalex.org/W2007052094","https://openalex.org/W2067265108","https://openalex.org/W2069499874","https://openalex.org/W2162045242","https://openalex.org/W2523440100","https://openalex.org/W2729450229","https://openalex.org/W4241341410"],"related_works":["https://openalex.org/W1965041963","https://openalex.org/W56705272","https://openalex.org/W2768302376","https://openalex.org/W2330640442","https://openalex.org/W2983915667","https://openalex.org/W1517265138","https://openalex.org/W2026463302","https://openalex.org/W2766501744","https://openalex.org/W1978642077","https://openalex.org/W2034710653"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
