{"id":"https://openalex.org/W2168512902","doi":"https://doi.org/10.1007/978-3-322-86146-7_23","title":"C\u00f8mparis\u00f8n \u00f8f S\u00f8me Numerical Meth\u00f8ds f\u00f8r S\u00f8lving Hyperb\u00f8lic Differential Equati\u00f8ns with Disc\u00f8ntinu\u00f8us Initial Values","display_name":"C\u00f8mparis\u00f8n \u00f8f S\u00f8me Numerical Meth\u00f8ds f\u00f8r S\u00f8lving Hyperb\u00f8lic Differential Equati\u00f8ns with Disc\u00f8ntinu\u00f8us Initial Values","publication_year":1980,"publication_date":"1980-01-01","ids":{"openalex":"https://openalex.org/W2168512902","doi":"https://doi.org/10.1007/978-3-322-86146-7_23","mag":"2168512902"},"language":"no","primary_location":{"id":"doi:10.1007/978-3-322-86146-7_23","doi":"https://doi.org/10.1007/978-3-322-86146-7_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-322-86146-7_23","pdf_url":null,"source":{"id":"https://openalex.org/S4306464255","display_name":"Vieweg+Teubner eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Third GAMM \u2014 Conference on Numerical Methods in Fluid Mechanics","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W2492373307","display_name":"Proceedings of the Third GAMM \u2014 Conference on Numerical Methods in Fluid Mechanics"},"type":"conference-paper","is_traditional":true,"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/A5049628953","display_name":"Herbert Niessner","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Herbert Niessner","raw_affiliation_strings":["BBC Brown Boveri & Co. Ltd, Baden, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"BBC Brown Boveri & Co. Ltd, Baden, Switzerland","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077178785","display_name":"Tomas Bulaty","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tomas Bulaty","raw_affiliation_strings":["BBC Brown Boveri & Co. Ltd, Baden, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"BBC Brown Boveri & Co. Ltd, Baden, Switzerland","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8817,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.83587786,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":null,"issue":null,"first_page":"221","last_page":"230"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":1.0,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.0,"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/T12727","display_name":"Singular Perturbation, Asymptotics and Difference Schemes","score":0.0,"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/hyperbolic-equations","display_name":"hyperbolic equations","score":0.9039999842643738},{"id":"https://openalex.org/keywords/lax-wendroff-scheme","display_name":"Lax-Wendroff scheme","score":0.9100000262260437},{"id":"https://openalex.org/keywords/unsteady-compressible-flow","display_name":"unsteady compressible flow","score":0.7900000214576721},{"id":"https://openalex.org/keywords/flux-correction","display_name":"flux correction","score":0.625},{"id":"https://openalex.org/keywords/damping-term","display_name":"damping term","score":0.9210000038146973},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"numerical stability","score":0.5299999713897705},{"id":"https://openalex.org/keywords/error-analysis","display_name":"error analysis","score":0.44600000977516174}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.673028826713562},{"id":"https://openalex.org/C2780323453","wikidata":"https://www.wikidata.org/wiki/Q7113957","display_name":"Overshoot (microwave communication)","level":2,"score":0.6034337282180786},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5661572217941284},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.5418918132781982},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.4781968593597412},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46268051862716675},{"id":"https://openalex.org/C68709404","wikidata":"https://www.wikidata.org/wiki/Q1134475","display_name":"Flux (metallurgy)","level":2,"score":0.46232226490974426},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.45797938108444214},{"id":"https://openalex.org/C5192115","wikidata":"https://www.wikidata.org/wiki/Q2705141","display_name":"Compressible flow","level":3,"score":0.42688778042793274},{"id":"https://openalex.org/C127172972","wikidata":"https://www.wikidata.org/wiki/Q128709","display_name":"Viscosity","level":2,"score":0.4244285225868225},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.30552488565444946},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.22205930948257446},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10102453827857971},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07201659679412842},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0661386251449585},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.06376814842224121},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","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},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-322-86146-7_23","doi":"https://doi.org/10.1007/978-3-322-86146-7_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-322-86146-7_23","pdf_url":null,"source":{"id":"https://openalex.org/S4306464255","display_name":"Vieweg+Teubner eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Third GAMM \u2014 Conference on Numerical Methods in Fluid Mechanics","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W126063487","https://openalex.org/W626070457","https://openalex.org/W1966531252","https://openalex.org/W2020168202","https://openalex.org/W2089675812","https://openalex.org/W2147568955","https://openalex.org/W2315651828","https://openalex.org/W3003821699","https://openalex.org/W4253808220","https://openalex.org/W4388095093","https://openalex.org/W6636342529"],"related_works":["https://openalex.org/W2793436154","https://openalex.org/W2905410733","https://openalex.org/W2978948718","https://openalex.org/W2788205661","https://openalex.org/W2916614567","https://openalex.org/W2169359550","https://openalex.org/W2050805978","https://openalex.org/W2031551547","https://openalex.org/W100636036","https://openalex.org/W2993734087"],"abstract_inverted_index":{"Numerical":[0],"solutions":[1],"of":[2,6,15,22,31,43,73,90],"the":[3,13,91],"hyperbolic":[4],"equations":[5],"unsteady":[7],"compressible":[8],"fluid":[9],"flow":[10],"obtained":[11],"by":[12],"method":[14,93],"Lax-Wendroff":[16,48,92],"show":[17],"non-physical":[18],"overshoot":[19,30],"in":[20,97],"case":[21],"discontinuous":[23],"initial":[24],"values.":[25],"We":[26],"examine":[27],"error":[28],"and":[29,55,61,68],"several":[32],"proposed":[33],"methods":[34],"to":[35,47,52,65],"improve":[36],"this:":[37],"strongly":[38],"amplifying":[39],"physical":[40],"viscosity,":[41],"insertion":[42],"damping":[44],"terms":[45],"due":[46,51,64],"[1],":[49],"modifications":[50],"Abarbanel-Zwas":[53],"[2]":[54],"Lerat-Peyret":[56],"[3],":[57],"fourth":[58],"order":[59],"smoothing,":[60],"flux":[62,81,98],"correction":[63,99],"Book,":[66],"Boris":[67],"Hain":[69],"[4].":[70],"A":[71],"variation":[72],"this":[74],"last":[75],"method,":[76],"which":[77],"we":[78],"call":[79],"\u201cnaive":[80],"correction\u201d,":[82],"does":[83],"not":[84,104],"alter":[85],"either":[86],"accuracy":[87],"or":[88],"stability":[89],"if":[94],"clipping":[95],"included":[96],"(see":[100],"equ.":[101],"28)":[102],"is":[103],"active.":[105]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2016-06-24T00:00:00"}
