{"id":"https://openalex.org/W2891753292","doi":"https://doi.org/10.1007/s10915-018-0821-8","title":"A Fourth-Order Kernel-Free Boundary Integral Method for the Modified Helmholtz Equation","display_name":"A Fourth-Order Kernel-Free Boundary Integral Method for the Modified Helmholtz Equation","publication_year":2018,"publication_date":"2018-09-05","ids":{"openalex":"https://openalex.org/W2891753292","doi":"https://doi.org/10.1007/s10915-018-0821-8","mag":"2891753292"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-018-0821-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-018-0821-8","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112513451","display_name":"Yaning Xie","orcid":null},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yaning Xie","raw_affiliation_strings":["School of Mathematical Sciences, Shanghai Jiao Tong University, Minhang, Shanghai, 200240, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Shanghai Jiao Tong University, Minhang, Shanghai, 200240, People's Republic of China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018844316","display_name":"Wenjun Ying","orcid":"https://orcid.org/0000-0002-8038-9372"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wenjun Ying","raw_affiliation_strings":["School of Mathematical Sciences, MOE-LSC and Institute of Natural Sciences, Shanghai Jiao Tong University, Minhang, Shanghai, 200240, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0002-8038-9372","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, MOE-LSC and Institute of Natural Sciences, Shanghai Jiao Tong University, Minhang, Shanghai, 200240, People's Republic of China","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5018844316"],"corresponding_institution_ids":["https://openalex.org/I183067930"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.43,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.82863382,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"78","issue":"3","first_page":"1632","last_page":"1658"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9997000098228455,"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":0.9997000098228455,"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/T10514","display_name":"Numerical methods in engineering","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9994000196456909,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8366552591323853},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.5806947946548462},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5745666027069092},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4958108365535736},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.4560099244117737},{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.4539952874183655},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.45338499546051025},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.42054474353790283},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4142533242702484},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.26394906640052795}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8366552591323853},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.5806947946548462},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5745666027069092},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4958108365535736},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.4560099244117737},{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.4539952874183655},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.45338499546051025},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.42054474353790283},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4142533242702484},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.26394906640052795}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-018-0821-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-018-0821-8","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7475695069","display_name":null,"funder_award_id":"11101278","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G953881707","display_name":null,"funder_award_id":"11771290","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":71,"referenced_works":["https://openalex.org/W8052360","https://openalex.org/W148368143","https://openalex.org/W385499458","https://openalex.org/W637601404","https://openalex.org/W1504855536","https://openalex.org/W1536466900","https://openalex.org/W1602369757","https://openalex.org/W1963750172","https://openalex.org/W1968055746","https://openalex.org/W1970212587","https://openalex.org/W1974936486","https://openalex.org/W1979903405","https://openalex.org/W1982115588","https://openalex.org/W1984204138","https://openalex.org/W1984895966","https://openalex.org/W1988141386","https://openalex.org/W1989056711","https://openalex.org/W2000621749","https://openalex.org/W2014208709","https://openalex.org/W2014475794","https://openalex.org/W2022385500","https://openalex.org/W2022563220","https://openalex.org/W2030528690","https://openalex.org/W2039518022","https://openalex.org/W2045618004","https://openalex.org/W2047696693","https://openalex.org/W2047925487","https://openalex.org/W2049856588","https://openalex.org/W2053169068","https://openalex.org/W2053386981","https://openalex.org/W2054320306","https://openalex.org/W2057352214","https://openalex.org/W2057754884","https://openalex.org/W2061776468","https://openalex.org/W2067216123","https://openalex.org/W2068306188","https://openalex.org/W2069011516","https://openalex.org/W2069883496","https://openalex.org/W2073237947","https://openalex.org/W2078134984","https://openalex.org/W2080841008","https://openalex.org/W2083206954","https://openalex.org/W2084131634","https://openalex.org/W2084831289","https://openalex.org/W2088156497","https://openalex.org/W2088166355","https://openalex.org/W2114589706","https://openalex.org/W2117926105","https://openalex.org/W2132820941","https://openalex.org/W2135609966","https://openalex.org/W2140153041","https://openalex.org/W2140348774","https://openalex.org/W2141613219","https://openalex.org/W2144098834","https://openalex.org/W2144133766","https://openalex.org/W2157072495","https://openalex.org/W2163537153","https://openalex.org/W2171879949","https://openalex.org/W2315187670","https://openalex.org/W2413714905","https://openalex.org/W2465943810","https://openalex.org/W2556130902","https://openalex.org/W2599621596","https://openalex.org/W2623167593","https://openalex.org/W3100904955","https://openalex.org/W4205604664","https://openalex.org/W4213238923","https://openalex.org/W4239688777","https://openalex.org/W4254163830","https://openalex.org/W4293238311","https://openalex.org/W6631614496"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W3161880765","https://openalex.org/W1537831955","https://openalex.org/W1864774435","https://openalex.org/W2942315554","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2962909491"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}