{"id":"https://openalex.org/W2008835969","doi":"https://doi.org/10.1007/s00366-012-0267-9","title":"MASA : a library for verification using manufactured and analytical solutions","display_name":"MASA : a library for verification using manufactured and analytical solutions","publication_year":2012,"publication_date":"2012-06-06","ids":{"openalex":"https://openalex.org/W2008835969","doi":"https://doi.org/10.1007/s00366-012-0267-9","mag":"2008835969"},"language":"en","primary_location":{"id":"doi:10.1007/s00366-012-0267-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00366-012-0267-9","pdf_url":null,"source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","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/A5038263077","display_name":"Nicholas Malaya","orcid":"https://orcid.org/0000-0001-6259-7453"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Nicholas Malaya","raw_affiliation_strings":["Predictive Engineering and Computational Sciences Center, Institute for Computational Engineering and Sciences, University of Texas at Austin, Austin, TX, 78712, USA","University of Texas at Austin#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Predictive Engineering and Computational Sciences Center, Institute for Computational Engineering and Sciences, University of Texas at Austin, Austin, TX, 78712, USA","institution_ids":[]},{"raw_affiliation_string":"University of Texas at Austin#TAB#","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029100100","display_name":"Kemelli C. Estacio-Hiroms","orcid":"https://orcid.org/0000-0002-2493-468X"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kemelli C. Estacio-Hiroms","raw_affiliation_strings":["Predictive Engineering and Computational Sciences Center, Institute for Computational Engineering and Sciences, University of Texas at Austin, Austin, TX, 78712, USA","University of Texas at Austin#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Predictive Engineering and Computational Sciences Center, Institute for Computational Engineering and Sciences, University of Texas at Austin, Austin, TX, 78712, USA","institution_ids":[]},{"raw_affiliation_string":"University of Texas at Austin#TAB#","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107224534","display_name":"Roy Stogner","orcid":"https://orcid.org/0000-0001-9949-3690"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Roy H. Stogner","raw_affiliation_strings":["Predictive Engineering and Computational Sciences Center, Institute for Computational Engineering and Sciences, University of Texas at Austin, Austin, TX, 78712, USA","University of Texas at Austin#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Predictive Engineering and Computational Sciences Center, Institute for Computational Engineering and Sciences, University of Texas at Austin, Austin, TX, 78712, USA","institution_ids":[]},{"raw_affiliation_string":"University of Texas at Austin#TAB#","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107027979","display_name":"Karl W. Schulz","orcid":"https://orcid.org/0000-0003-3690-9614"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Karl W. Schulz","raw_affiliation_strings":["Predictive Engineering and Computational Sciences Center, Institute for Computational Engineering and Sciences, University of Texas at Austin, Austin, TX, 78712, USA","University of Texas at Austin#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Predictive Engineering and Computational Sciences Center, Institute for Computational Engineering and Sciences, University of Texas at Austin, Austin, TX, 78712, USA","institution_ids":[]},{"raw_affiliation_string":"University of Texas at Austin#TAB#","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022068252","display_name":"Paul T. Bauman","orcid":"https://orcid.org/0000-0003-3513-8264"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paul T. Bauman","raw_affiliation_strings":["Predictive Engineering and Computational Sciences Center, Institute for Computational Engineering and Sciences, University of Texas at Austin, Austin, TX, 78712, USA","University of Texas at Austin#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Predictive Engineering and Computational Sciences Center, Institute for Computational Engineering and Sciences, University of Texas at Austin, Austin, TX, 78712, USA","institution_ids":[]},{"raw_affiliation_string":"University of Texas at Austin#TAB#","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078215724","display_name":"Graham F. Carey","orcid":null},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Graham F. Carey","raw_affiliation_strings":["Predictive Engineering and Computational Sciences Center, Institute for Computational Engineering and Sciences, University of Texas at Austin, Austin, TX, 78712, USA","University of Texas at Austin#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Predictive Engineering and Computational Sciences Center, Institute for Computational Engineering and Sciences, University of Texas at Austin, Austin, TX, 78712, USA","institution_ids":[]},{"raw_affiliation_string":"University of Texas at Austin#TAB#","institution_ids":["https://openalex.org/I86519309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5038263077"],"corresponding_institution_ids":["https://openalex.org/I86519309"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.7771,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.90384416,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"29","issue":"4","first_page":"487","last_page":"496"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13286","display_name":"Modeling and Simulation Systems","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13286","display_name":"Modeling and Simulation Systems","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11195","display_name":"Simulation Techniques and Applications","score":0.9782999753952026,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/symbolic-computation","display_name":"Symbolic computation","score":0.6017012000083923},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5724681615829468},{"id":"https://openalex.org/keywords/mathematical-software","display_name":"Mathematical software","score":0.5634025931358337},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.5570797324180603},{"id":"https://openalex.org/keywords/interface","display_name":"Interface (matter)","score":0.5458940863609314},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.49733999371528625},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4843791425228119},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.47475436329841614},{"id":"https://openalex.org/keywords/automatic-differentiation","display_name":"Automatic differentiation","score":0.47296565771102905},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.46438348293304443},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4544525444507599},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.44271060824394226},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.43757423758506775},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.4366225004196167},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4332411289215088},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.4078941345214844},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.358633816242218},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3442826271057129},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28361010551452637},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12531819939613342},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11140254139900208},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10831454396247864}],"concepts":[{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.6017012000083923},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5724681615829468},{"id":"https://openalex.org/C2778400913","wikidata":"https://www.wikidata.org/wiki/Q1639024","display_name":"Mathematical software","level":3,"score":0.5634025931358337},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.5570797324180603},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.5458940863609314},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.49733999371528625},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4843791425228119},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.47475436329841614},{"id":"https://openalex.org/C133512626","wikidata":"https://www.wikidata.org/wiki/Q787371","display_name":"Automatic differentiation","level":3,"score":0.47296565771102905},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.46438348293304443},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4544525444507599},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.44271060824394226},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.43757423758506775},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.4366225004196167},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4332411289215088},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.4078941345214844},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.358633816242218},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3442826271057129},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28361010551452637},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12531819939613342},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11140254139900208},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10831454396247864},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C129307140","wikidata":"https://www.wikidata.org/wiki/Q6795880","display_name":"Maximum bubble pressure method","level":3,"score":0.0},{"id":"https://openalex.org/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"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/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00366-012-0267-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00366-012-0267-9","pdf_url":null,"source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5199999809265137,"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W51269470","https://openalex.org/W563066543","https://openalex.org/W621959553","https://openalex.org/W1519745724","https://openalex.org/W1607663648","https://openalex.org/W1972417597","https://openalex.org/W1978857498","https://openalex.org/W1980883268","https://openalex.org/W1996430385","https://openalex.org/W2007794377","https://openalex.org/W2016638303","https://openalex.org/W2034070860","https://openalex.org/W2064110225","https://openalex.org/W2065239170","https://openalex.org/W2068993929","https://openalex.org/W2072847315","https://openalex.org/W2078888209","https://openalex.org/W2085428945","https://openalex.org/W2096995521","https://openalex.org/W2099847147","https://openalex.org/W2115824538","https://openalex.org/W2122715308","https://openalex.org/W2135014481","https://openalex.org/W2144868176","https://openalex.org/W2149493559","https://openalex.org/W2150204552","https://openalex.org/W2188426497","https://openalex.org/W2319967725","https://openalex.org/W2326281916","https://openalex.org/W2335754113","https://openalex.org/W2382989034","https://openalex.org/W2400908863","https://openalex.org/W4254332069"],"related_works":["https://openalex.org/W3182555489","https://openalex.org/W2006664683","https://openalex.org/W2118737357","https://openalex.org/W2968998537","https://openalex.org/W2008894878","https://openalex.org/W2502114413","https://openalex.org/W1831300786","https://openalex.org/W3021333681","https://openalex.org/W1825438583","https://openalex.org/W2082047069"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-03T08:25:01.440150","created_date":"2025-10-10T00:00:00"}
