{"id":"https://openalex.org/W2986318811","doi":"https://doi.org/10.1007/s12190-019-01301-x","title":"A new development of sixth order accurate compact scheme for the Helmholtz equation","display_name":"A new development of sixth order accurate compact scheme for the Helmholtz equation","publication_year":2019,"publication_date":"2019-11-07","ids":{"openalex":"https://openalex.org/W2986318811","doi":"https://doi.org/10.1007/s12190-019-01301-x","mag":"2986318811"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-019-01301-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-019-01301-x","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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 Applied Mathematics and 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/A5084231289","display_name":"Neelesh Kumar","orcid":"https://orcid.org/0000-0003-1384-8652"},"institutions":[{"id":"https://openalex.org/I145286018","display_name":"SRM Institute of Science and Technology","ror":"https://ror.org/050113w36","country_code":"IN","type":"education","lineage":["https://openalex.org/I145286018"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Neelesh Kumar","raw_affiliation_strings":["Research Institute, SRM Institute of Science & Technology, Kattankulathur, Kancheepuram, Tamil Nadu, 603 203, India"],"raw_orcid":"https://orcid.org/0000-0003-1384-8652","affiliations":[{"raw_affiliation_string":"Research Institute, SRM Institute of Science & Technology, Kattankulathur, Kancheepuram, Tamil Nadu, 603 203, India","institution_ids":["https://openalex.org/I145286018"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054488686","display_name":"Ritesh Kumar Dubey","orcid":"https://orcid.org/0000-0002-0814-4530"},"institutions":[{"id":"https://openalex.org/I145286018","display_name":"SRM Institute of Science and Technology","ror":"https://ror.org/050113w36","country_code":"IN","type":"education","lineage":["https://openalex.org/I145286018"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Ritesh Kumar Dubey","raw_affiliation_strings":["Research Institute & Department of Mathematics, SRM Institute of Science & Technology, Kattankulathur, Tamil Nadu, 603 203, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Institute & Department of Mathematics, SRM Institute of Science & Technology, Kattankulathur, Tamil Nadu, 603 203, India","institution_ids":["https://openalex.org/I145286018"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5084231289"],"corresponding_institution_ids":["https://openalex.org/I145286018"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.7264,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.72645509,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"62","issue":"1-2","first_page":"637","last_page":"662"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9994999766349792,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.998199999332428,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9955000281333923,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.8814147114753723},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8134251832962036},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.7881583571434021},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5751727819442749},{"id":"https://openalex.org/keywords/compact-finite-difference","display_name":"Compact finite difference","score":0.5504782795906067},{"id":"https://openalex.org/keywords/helmholtz-free-energy","display_name":"Helmholtz free energy","score":0.5410474538803101},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.49813389778137207},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4955188035964966},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40457889437675476},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23827749490737915},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.08758780360221863},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06843912601470947},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0567951500415802}],"concepts":[{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.8814147114753723},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8134251832962036},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.7881583571434021},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5751727819442749},{"id":"https://openalex.org/C2780829570","wikidata":"https://www.wikidata.org/wiki/Q25113057","display_name":"Compact finite difference","level":3,"score":0.5504782795906067},{"id":"https://openalex.org/C27592594","wikidata":"https://www.wikidata.org/wiki/Q865821","display_name":"Helmholtz free energy","level":2,"score":0.5410474538803101},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.49813389778137207},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4955188035964966},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40457889437675476},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23827749490737915},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.08758780360221863},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06843912601470947},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0567951500415802},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-019-01301-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-019-01301-x","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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 Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G991856790","display_name":null,"funder_award_id":"MTR/2017/000187","funder_id":"https://openalex.org/F4320334771","funder_display_name":"Science and Engineering Research Board"}],"funders":[{"id":"https://openalex.org/F4320334771","display_name":"Science and Engineering Research Board","ror":"https://ror.org/03ffdsr55"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1645731123","https://openalex.org/W1969041915","https://openalex.org/W1976538983","https://openalex.org/W1987066751","https://openalex.org/W2002710898","https://openalex.org/W2005733061","https://openalex.org/W2021567871","https://openalex.org/W2025006636","https://openalex.org/W2025124289","https://openalex.org/W2029342920","https://openalex.org/W2030729182","https://openalex.org/W2037048184","https://openalex.org/W2037092148","https://openalex.org/W2047463395","https://openalex.org/W2070875961","https://openalex.org/W2076443122","https://openalex.org/W2126036157","https://openalex.org/W2150300407","https://openalex.org/W2155838358","https://openalex.org/W2163332617","https://openalex.org/W2255321787","https://openalex.org/W2588081979","https://openalex.org/W2616008833","https://openalex.org/W2783325651","https://openalex.org/W2969463226","https://openalex.org/W2970973605","https://openalex.org/W2998537585","https://openalex.org/W3016042856","https://openalex.org/W3022969843"],"related_works":["https://openalex.org/W4365420316","https://openalex.org/W3193896743","https://openalex.org/W3176862315","https://openalex.org/W3120022531","https://openalex.org/W2389032076","https://openalex.org/W2509466404","https://openalex.org/W2352443241","https://openalex.org/W2150300407","https://openalex.org/W1987066751","https://openalex.org/W4385383293"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}