{"id":"https://openalex.org/W2341855717","doi":"https://doi.org/10.1090/mcom/3279","title":"Convolution quadrature for the wave equation with a nonlinear impedance boundary condition","display_name":"Convolution quadrature for the wave equation with a nonlinear impedance boundary condition","publication_year":2017,"publication_date":"2017-04-05","ids":{"openalex":"https://openalex.org/W2341855717","doi":"https://doi.org/10.1090/mcom/3279","mag":"2341855717"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/3279","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/3279","pdf_url":null,"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":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1604.05212","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042125789","display_name":"Lehel Banjai","orcid":"https://orcid.org/0000-0001-9855-4359"},"institutions":[{"id":"https://openalex.org/I32062511","display_name":"Heriot-Watt University","ror":"https://ror.org/04mghma93","country_code":"GB","type":"education","lineage":["https://openalex.org/I32062511"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Lehel Banjai","raw_affiliation_strings":["The Maxwull Institute for Mathematical Sciences, School of Mathematical & Computer Sciences, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Maxwull Institute for Mathematical Sciences, School of Mathematical & Computer Sciences, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom","institution_ids":["https://openalex.org/I32062511"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051486563","display_name":"Alexander Rieder","orcid":"https://orcid.org/0000-0003-2144-7648"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Alexander Rieder","raw_affiliation_strings":["Institute for Analysis and Scientific Computing (Inst. E 101), Vienna University of Technology, Wiedner Hauptstrasse 8-10, 1040 Wien, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Analysis and Scientific Computing (Inst. E 101), Vienna University of Technology, Wiedner Hauptstrasse 8-10, 1040 Wien, Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2971,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.54090466,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"87","issue":"312","first_page":"1783","last_page":"1819"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998000264167786,"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/T10514","display_name":"Numerical methods in engineering","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/mathematical-analysis","display_name":"Mathematical analysis","score":0.6910864114761353},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6908040046691895},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.6031538844108582},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6026219129562378},{"id":"https://openalex.org/keywords/nystr\u00f6m-method","display_name":"Nystr\u00f6m method","score":0.5253034234046936},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.49827003479003906},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.46912312507629395},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.46232298016548157},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.45687806606292725},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4496045708656311},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.4339594542980194},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12637826800346375}],"concepts":[{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6910864114761353},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6908040046691895},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.6031538844108582},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6026219129562378},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.5253034234046936},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.49827003479003906},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.46912312507629395},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.46232298016548157},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.45687806606292725},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4496045708656311},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.4339594542980194},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12637826800346375},{"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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1090/mcom/3279","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/3279","pdf_url":null,"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:arXiv.org:1604.05212","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1604.05212","pdf_url":"https://arxiv.org/pdf/1604.05212","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"mag:2341855717","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1604.05212.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1604.05212","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1604.05212","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1604.05212","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1604.05212","pdf_url":"https://arxiv.org/pdf/1604.05212","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8315488508","display_name":"Dissipation and dispersion in differential equations","funder_award_id":"W 1245","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2341855717.pdf","grobid_xml":"https://content.openalex.org/works/W2341855717.grobid-xml"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W8052360","https://openalex.org/W1440100122","https://openalex.org/W1488877410","https://openalex.org/W1489222793","https://openalex.org/W1597700183","https://openalex.org/W1602383637","https://openalex.org/W1964625607","https://openalex.org/W1975648481","https://openalex.org/W1979313496","https://openalex.org/W1979863314","https://openalex.org/W1985732608","https://openalex.org/W1995504856","https://openalex.org/W2014051441","https://openalex.org/W2017048835","https://openalex.org/W2022740741","https://openalex.org/W2023921315","https://openalex.org/W2026646621","https://openalex.org/W2031675395","https://openalex.org/W2034182704","https://openalex.org/W2042462787","https://openalex.org/W2059357993","https://openalex.org/W2082621526","https://openalex.org/W2090616302","https://openalex.org/W2093622765","https://openalex.org/W2094745757","https://openalex.org/W2107403682","https://openalex.org/W2129647233","https://openalex.org/W2135764443","https://openalex.org/W2144098834","https://openalex.org/W2158715849","https://openalex.org/W2245896171","https://openalex.org/W2322620490","https://openalex.org/W2376817935","https://openalex.org/W2402343638","https://openalex.org/W2496081756","https://openalex.org/W2759118344","https://openalex.org/W2798409203","https://openalex.org/W2962677469","https://openalex.org/W2963909149","https://openalex.org/W3148434010","https://openalex.org/W3202580040","https://openalex.org/W4245898496","https://openalex.org/W4250831033","https://openalex.org/W4255871072","https://openalex.org/W4292079583","https://openalex.org/W4293238311"],"related_works":["https://openalex.org/W2597193544","https://openalex.org/W2949905940","https://openalex.org/W2188350647","https://openalex.org/W2985114176","https://openalex.org/W3146105852","https://openalex.org/W2964861442","https://openalex.org/W2045812242","https://openalex.org/W1559501015","https://openalex.org/W137674862","https://openalex.org/W3103754645","https://openalex.org/W2118537862","https://openalex.org/W2962994565","https://openalex.org/W2093490182","https://openalex.org/W3132817983","https://openalex.org/W1553518710","https://openalex.org/W2464175147","https://openalex.org/W2970429977","https://openalex.org/W2996490501","https://openalex.org/W2044550158","https://openalex.org/W2808085846"],"abstract_inverted_index":{"A":[0],"rarely":[1],"exploited":[2],"advantage":[3],"of":[4,32,51,65],"time-domain":[5],"boundary":[6,43,48],"integral":[7,49],"equations":[8],"compared":[9],"to":[10,20],"their":[11],"frequency":[12],"counterparts":[13],"is":[14,80],"that":[15,85],"they":[16],"can":[17],"be":[18],"used":[19],"treat":[21],"certain":[22],"nonlinear":[23,41],"problems.":[24],"In":[25],"this":[26],"work":[27],"we":[28,83],"investigate":[29],"the":[30,52,61,63,78,86,98],"scattering":[31],"acoustic":[33],"waves":[34],"by":[35],"a":[36,40,47,66],"bounded":[37],"obstacle":[38],"with":[39],"impedance":[42],"condition.":[44],"We":[45],"describe":[46],"formulation":[50],"problem":[53],"and":[54,72],"prove":[55,84],"without":[56],"any":[57],"smoothness":[58],"assumptions":[59],"on":[60],"solution":[62,79],"convergence":[64],"full":[67],"discretization:":[68],"Galerkin":[69],"in":[70,75,95],"space":[71],"convolution":[73],"quadrature":[74],"time.":[76],"If":[77],"sufficiently":[81],"regular,":[82],"discrete":[87],"method":[88],"converges":[89],"at":[90],"optimal":[91],"rates.":[92],"Numerical":[93],"evidence":[94],"3D":[96],"supports":[97],"theory.":[99]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2022-10-02T00:00:00"}
