{"id":"https://openalex.org/W2108334595","doi":"https://doi.org/10.1007/s10915-011-9531-1","title":"A Fourth Order Accurate Finite Difference Scheme for the Elastic Wave Equation in Second Order Formulation","display_name":"A Fourth Order Accurate Finite Difference Scheme for the Elastic Wave Equation in Second Order Formulation","publication_year":2011,"publication_date":"2011-09-07","ids":{"openalex":"https://openalex.org/W2108334595","doi":"https://doi.org/10.1007/s10915-011-9531-1","mag":"2108334595"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-011-9531-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-011-9531-1","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.osti.gov/biblio/1184170","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087434173","display_name":"Bj\u00f6rn Sj\u00f6green","orcid":"https://orcid.org/0000-0002-0927-4329"},"institutions":[{"id":"https://openalex.org/I1282311441","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282311441","https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210138311"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Bj\u00f6rn Sj\u00f6green","raw_affiliation_strings":["Center for Applied Scientific Computing, L-422, LLNL, P.O. Box 808, Livermore, CA, 94551, USA","Center for Applied Scientific Computing, L-422, LLNL, Livermore, USA 94551#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Applied Scientific Computing, L-422, LLNL, P.O. Box 808, Livermore, CA, 94551, USA","institution_ids":[]},{"raw_affiliation_string":"Center for Applied Scientific Computing, L-422, LLNL, Livermore, USA 94551#TAB#","institution_ids":["https://openalex.org/I1282311441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008289430","display_name":"N. Anders Petersson","orcid":"https://orcid.org/0000-0003-0522-7872"},"institutions":[{"id":"https://openalex.org/I1282311441","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282311441","https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210138311"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"N. Anders Petersson","raw_affiliation_strings":["Center for Applied Scientific Computing, L-422, LLNL, P.O. Box 808, Livermore, CA, 94551, USA","Center for Applied Scientific Computing, L-422, LLNL, Livermore, USA 94551#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Applied Scientific Computing, L-422, LLNL, P.O. Box 808, Livermore, CA, 94551, USA","institution_ids":[]},{"raw_affiliation_string":"Center for Applied Scientific Computing, L-422, LLNL, Livermore, USA 94551#TAB#","institution_ids":["https://openalex.org/I1282311441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5087434173"],"corresponding_institution_ids":["https://openalex.org/I1282311441"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":3.1371,"has_fulltext":true,"cited_by_count":176,"citation_normalized_percentile":{"value":0.91638255,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"52","issue":"1","first_page":"17","last_page":"48"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9991000294685364,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9991000294685364,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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":0.9983000159263611,"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":0.8834370970726013},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.8313603401184082},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6167156100273132},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.5648313760757446},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5473939180374146},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5410062670707703},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.5369752049446106},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5053041577339172},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.49980735778808594},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4816111922264099},{"id":"https://openalex.org/keywords/summation-by-parts","display_name":"Summation by parts","score":0.444132000207901}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8834370970726013},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8313603401184082},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6167156100273132},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.5648313760757446},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5473939180374146},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5410062670707703},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.5369752049446106},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5053041577339172},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.49980735778808594},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4816111922264099},{"id":"https://openalex.org/C13626590","wikidata":"https://www.wikidata.org/wiki/Q318754","display_name":"Summation by parts","level":2,"score":0.444132000207901},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10915-011-9531-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-011-9531-1","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:osti.gov:1184170","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1184170","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:osti.gov:1184170","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1184170","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1356433355","display_name":null,"funder_award_id":"DE\u2010AC5207NA27344","funder_id":"https://openalex.org/F4320338286","funder_display_name":"Lawrence Livermore National Laboratory"},{"id":"https://openalex.org/G2145270357","display_name":null,"funder_award_id":"AC52\u201007NA27344","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G3669113783","display_name":null,"funder_award_id":"07NA27344","funder_id":"https://openalex.org/F4320338286","funder_display_name":"Lawrence Livermore National Laboratory"},{"id":"https://openalex.org/G895790057","display_name":null,"funder_award_id":"DE-AC52","funder_id":"https://openalex.org/F4320338286","funder_display_name":"Lawrence Livermore National Laboratory"},{"id":"https://openalex.org/G991281326","display_name":null,"funder_award_id":"AC52-07NA27344","funder_id":"https://openalex.org/F4320338286","funder_display_name":"Lawrence Livermore National Laboratory"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320338286","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W96454744","https://openalex.org/W122315595","https://openalex.org/W1528776121","https://openalex.org/W1538356049","https://openalex.org/W1599277922","https://openalex.org/W1860468083","https://openalex.org/W1965855805","https://openalex.org/W1966155583","https://openalex.org/W1978362527","https://openalex.org/W1985883290","https://openalex.org/W2003847415","https://openalex.org/W2009154776","https://openalex.org/W2024742650","https://openalex.org/W2049991352","https://openalex.org/W2051465806","https://openalex.org/W2056984487","https://openalex.org/W2056994633","https://openalex.org/W2073128326","https://openalex.org/W2096535035","https://openalex.org/W2106785448","https://openalex.org/W2144338873","https://openalex.org/W2148631859","https://openalex.org/W2149697434","https://openalex.org/W2174605214","https://openalex.org/W2255239994","https://openalex.org/W2335317371","https://openalex.org/W2462686189","https://openalex.org/W2595605661","https://openalex.org/W4212946773","https://openalex.org/W4245194646","https://openalex.org/W4323253139"],"related_works":["https://openalex.org/W2330640442","https://openalex.org/W1544816068","https://openalex.org/W1975234065","https://openalex.org/W2392533133","https://openalex.org/W2617981106","https://openalex.org/W4251142058","https://openalex.org/W1965041963","https://openalex.org/W2010592405","https://openalex.org/W2370103702","https://openalex.org/W2138146375"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":14},{"year":2025,"cited_by_count":18},{"year":2024,"cited_by_count":15},{"year":2023,"cited_by_count":17},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":23},{"year":2020,"cited_by_count":21},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":15},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}
