{"id":"https://openalex.org/W1987803285","doi":"https://doi.org/10.1090/s0025-5718-05-01808-9","title":"Hermite methods for hyperbolic initial-boundary value problems","display_name":"Hermite methods for hyperbolic initial-boundary value problems","publication_year":2005,"publication_date":"2005-12-16","ids":{"openalex":"https://openalex.org/W1987803285","doi":"https://doi.org/10.1090/s0025-5718-05-01808-9","mag":"1987803285"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-05-01808-9","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-05-01808-9","pdf_url":"https://www.ams.org/mcom/2006-75-254/S0025-5718-05-01808-9/S0025-5718-05-01808-9.pdf","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":true,"oa_status":"bronze","oa_url":"https://www.ams.org/mcom/2006-75-254/S0025-5718-05-01808-9/S0025-5718-05-01808-9.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082776429","display_name":"John W. Goodrich","orcid":null},"institutions":[{"id":"https://openalex.org/I2799786008","display_name":"Glenn Research Center","ror":"https://ror.org/059fqnc42","country_code":"US","type":"facility","lineage":["https://openalex.org/I2799786008","https://openalex.org/I4210124779"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"John Goodrich","raw_affiliation_strings":["Acoustics Branch, NASA Glenn Research Center, Cleveland, Ohio 44135"],"affiliations":[{"raw_affiliation_string":"Acoustics Branch, NASA Glenn Research Center, Cleveland, Ohio 44135","institution_ids":["https://openalex.org/I2799786008"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009161299","display_name":"Thomas Hagstrom","orcid":"https://orcid.org/0000-0002-9775-2051"},"institutions":[{"id":"https://openalex.org/I169521973","display_name":"University of New Mexico","ror":"https://ror.org/05fs6jp91","country_code":"US","type":"education","lineage":["https://openalex.org/I169521973"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thomas Hagstrom","raw_affiliation_strings":["Department of Mathematics and Statistics, The University of New Mexico, Albuquerque, New Mexico 87131"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, The University of New Mexico, Albuquerque, New Mexico 87131","institution_ids":["https://openalex.org/I169521973"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111668347","display_name":"Jens Lorenz","orcid":null},"institutions":[{"id":"https://openalex.org/I169521973","display_name":"University of New Mexico","ror":"https://ror.org/05fs6jp91","country_code":"US","type":"education","lineage":["https://openalex.org/I169521973"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jens Lorenz","raw_affiliation_strings":["Department of Mathematics and Statistics, The University of New Mexico, Albuquerque, New Mexico 87131"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, The University of New Mexico, Albuquerque, New Mexico 87131","institution_ids":["https://openalex.org/I169521973"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5082776429"],"corresponding_institution_ids":["https://openalex.org/I2799786008"],"apc_list":null,"apc_paid":null,"fwci":1.7,"has_fulltext":true,"cited_by_count":52,"citation_normalized_percentile":{"value":0.82387595,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"75","issue":"254","first_page":"595","last_page":"630"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9995999932289124,"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":0.9984999895095825,"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/algorithm","display_name":"Algorithm","score":0.7308939695358276},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4491427540779114},{"id":"https://openalex.org/keywords/annotation","display_name":"Annotation","score":0.42874181270599365},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4253014922142029},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.27935343980789185}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.7308939695358276},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4491427540779114},{"id":"https://openalex.org/C2776321320","wikidata":"https://www.wikidata.org/wiki/Q857525","display_name":"Annotation","level":2,"score":0.42874181270599365},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4253014922142029},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.27935343980789185}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1090/s0025-5718-05-01808-9","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-05-01808-9","pdf_url":"https://www.ams.org/mcom/2006-75-254/S0025-5718-05-01808-9/S0025-5718-05-01808-9.pdf","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.154.3744","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.154.3744","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/mcom/2006-75-254/S0025-5718-05-01808-9/S0025-5718-05-01808-9.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-05-01808-9","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-05-01808-9","pdf_url":"https://www.ams.org/mcom/2006-75-254/S0025-5718-05-01808-9/S0025-5718-05-01808-9.pdf","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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5339181742","display_name":"Numerical Methods for Multiple Scale Problems in Wave Propagation: Efficient Approximation of Integral Operators in the Time Domain","funder_award_id":"0306285","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7802698853","display_name":"New Methods for the Simulation and Analysis of Waves","funder_award_id":"9971772","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320306101","display_name":"National Aeronautics and Space Administration","ror":"https://ror.org/027ka1x80"},{"id":"https://openalex.org/F4320332372","display_name":"Glenn Research Center","ror":"https://ror.org/059fqnc42"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1987803285.pdf","grobid_xml":"https://content.openalex.org/works/W1987803285.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1523615189","https://openalex.org/W1538356049","https://openalex.org/W1585773866","https://openalex.org/W1604108217","https://openalex.org/W1972759058","https://openalex.org/W1976349874","https://openalex.org/W1994898383","https://openalex.org/W1995249182","https://openalex.org/W2017488448","https://openalex.org/W2029573175","https://openalex.org/W2030893208","https://openalex.org/W2054662916","https://openalex.org/W2059065174","https://openalex.org/W2070340710","https://openalex.org/W2085152406","https://openalex.org/W2088216818","https://openalex.org/W2090043357","https://openalex.org/W2159094357","https://openalex.org/W2161977179","https://openalex.org/W3002379364","https://openalex.org/W3005482169","https://openalex.org/W4214751139","https://openalex.org/W4241131157","https://openalex.org/W4243282334","https://openalex.org/W4244967938","https://openalex.org/W4285719527","https://openalex.org/W4300592462"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2361861616","https://openalex.org/W2263699433","https://openalex.org/W2377979023","https://openalex.org/W2218034408","https://openalex.org/W2392921965","https://openalex.org/W2358755282","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552"],"abstract_inverted_index":{"We":[0,48,134],"study":[1],"arbitrary-order":[2],"Hermite":[3,124],"difference":[4,22],"methods":[5,23,51,143],"for":[6,14,144],"the":[7,120,123,132,139,142,162],"numerical":[8,136],"solution":[9],"of":[10,54,131,141],"initial-boundary":[11],"value":[12],"problems":[13],"symmetric":[15],"hyperbolic":[16],"systems.":[17],"These":[18],"differ":[19],"from":[20],"standard":[21],"in":[24,68],"that":[25,50,122],"derivative":[26],"data":[27],"(or":[28],"equivalently":[29],"local":[30],"polynomial":[31],"expansions)":[32],"are":[33,72],"carried":[34],"at":[35,92],"each":[36,69],"grid":[37],"point.":[38],"Time-stepping":[39],"is":[40],"achieved":[41],"using":[42,52],"staggered":[43],"grids":[44],"and":[45,90],"Taylor":[46],"series.":[47],"prove":[49],"derivatives":[53],"order":[55,93],"<inline-formula":[56,75,94,146],"content-type=\"math/mathml\">":[57,76,95,147],"<mml:math":[58,77,96,148],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[59,78,97,149],"alttext=\"m\">":[60,79,150],"<mml:semantics>":[61,80,102,151],"<mml:mi>m</mml:mi>":[62,81,105,152],"<mml:annotation":[63,82,109,153],"encoding=\"application/x-tex\">m</mml:annotation>":[64,83,154],"</mml:semantics>":[65,84,111,155],"</mml:math>":[66,85,112,156],"</inline-formula>":[67,86,113,157],"coordinate":[70],"direction":[71],"stable":[73],"under":[74],"-independent":[87],"CFL":[88],"constraints":[89],"converge":[91],"alttext=\"2":[98],"m":[99],"plus":[100],"1\">":[101],"<mml:mrow>":[103],"<mml:mn>2</mml:mn>":[104],"<mml:mo>+</mml:mo>":[106],"<mml:mn>1</mml:mn>":[107],"</mml:mrow>":[108],"encoding=\"application/x-tex\">2m+1</mml:annotation>":[110],".":[114],"The":[115],"stability":[116],"proof":[117],"relies":[118],"on":[119],"fact":[121],"interpolation":[125],"process":[126],"generally":[127],"decreases":[128],"a":[129],"seminorm":[130],"solution.":[133],"present":[135],"experiments":[137],"demonstrating":[138],"resolution":[140],"large":[145],"as":[158,160],"well":[159],"illustrating":[161],"basic":[163],"theoretical":[164],"results.":[165]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-22T06:01:30.510260","created_date":"2025-10-10T00:00:00"}