{"id":"https://openalex.org/W2160910187","doi":"https://doi.org/10.1007/s10915-012-9602-y","title":"The Method of Difference Potentials for the Helmholtz Equation Using Compact High Order Schemes","display_name":"The Method of Difference Potentials for the Helmholtz Equation Using Compact High Order Schemes","publication_year":2012,"publication_date":"2012-05-16","ids":{"openalex":"https://openalex.org/W2160910187","doi":"https://doi.org/10.1007/s10915-012-9602-y","mag":"2160910187"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-012-9602-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-012-9602-y","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/A5060792102","display_name":"M. Medvinsky","orcid":"https://orcid.org/0000-0001-8929-2625"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]},{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["IL","US"],"is_corresponding":true,"raw_author_name":"M. Medvinsky","raw_affiliation_strings":["Department of Mathematics, North Carolina State University, Box 8205, Raleigh, NC, 27695, USA","School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv, 69978, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, North Carolina State University, Box 8205, Raleigh, NC, 27695, USA","institution_ids":["https://openalex.org/I137902535"]},{"raw_affiliation_string":"School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv, 69978, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064610183","display_name":"Semyon Tsynkov","orcid":"https://orcid.org/0000-0003-1069-9612"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Tsynkov","raw_affiliation_strings":["Department of Mathematics, North Carolina State University, Box 8205, Raleigh, NC, 27695, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, North Carolina State University, Box 8205, Raleigh, NC, 27695, USA","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011112251","display_name":"Eli Turkel","orcid":"https://orcid.org/0000-0003-4273-0303"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"E. Turkel","raw_affiliation_strings":["School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv, 69978, Israel"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv, 69978, Israel","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5060792102"],"corresponding_institution_ids":["https://openalex.org/I137902535","https://openalex.org/I16391192"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":5.2331,"has_fulltext":false,"cited_by_count":57,"citation_normalized_percentile":{"value":0.95958833,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"53","issue":"1","first_page":"150","last_page":"193"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9994999766349792,"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":0.9986000061035156,"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/mathematics","display_name":"Mathematics","score":0.808780312538147},{"id":"https://openalex.org/keywords/compact-finite-difference","display_name":"Compact finite difference","score":0.8035832643508911},{"id":"https://openalex.org/keywords/curvilinear-coordinates","display_name":"Curvilinear coordinates","score":0.7588990926742554},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5984611511230469},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.5733245611190796},{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.5708897709846497},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5361473560333252},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4813695549964905},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.47555941343307495},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4613156318664551},{"id":"https://openalex.org/keywords/order-of-accuracy","display_name":"Order of accuracy","score":0.4537300765514374},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.43557441234588623},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3490327000617981},{"id":"https://openalex.org/keywords/numerical-partial-differential-equations","display_name":"Numerical partial differential equations","score":0.15042462944984436},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09709620475769043}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.808780312538147},{"id":"https://openalex.org/C2780829570","wikidata":"https://www.wikidata.org/wiki/Q25113057","display_name":"Compact finite difference","level":3,"score":0.8035832643508911},{"id":"https://openalex.org/C98343798","wikidata":"https://www.wikidata.org/wiki/Q1790208","display_name":"Curvilinear coordinates","level":2,"score":0.7588990926742554},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5984611511230469},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.5733245611190796},{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.5708897709846497},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5361473560333252},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4813695549964905},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.47555941343307495},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4613156318664551},{"id":"https://openalex.org/C39177556","wikidata":"https://www.wikidata.org/wiki/Q7100567","display_name":"Order of accuracy","level":4,"score":0.4537300765514374},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43557441234588623},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3490327000617981},{"id":"https://openalex.org/C97826883","wikidata":"https://www.wikidata.org/wiki/Q7069659","display_name":"Numerical partial differential equations","level":3,"score":0.15042462944984436},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09709620475769043}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-012-9602-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-012-9602-y","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":66,"referenced_works":["https://openalex.org/W152160443","https://openalex.org/W361632153","https://openalex.org/W568942680","https://openalex.org/W580594676","https://openalex.org/W634592899","https://openalex.org/W1504642953","https://openalex.org/W1504855536","https://openalex.org/W1533440982","https://openalex.org/W1612115297","https://openalex.org/W1963745537","https://openalex.org/W1985428050","https://openalex.org/W1987066751","https://openalex.org/W1992124711","https://openalex.org/W2001977582","https://openalex.org/W2005733061","https://openalex.org/W2006902835","https://openalex.org/W2020168202","https://openalex.org/W2025124289","https://openalex.org/W2026508990","https://openalex.org/W2030556000","https://openalex.org/W2030729182","https://openalex.org/W2031839014","https://openalex.org/W2042199958","https://openalex.org/W2044355921","https://openalex.org/W2047463395","https://openalex.org/W2052801759","https://openalex.org/W2052871565","https://openalex.org/W2068027644","https://openalex.org/W2069660613","https://openalex.org/W2070875961","https://openalex.org/W2076323407","https://openalex.org/W2083206954","https://openalex.org/W2084131634","https://openalex.org/W2088721575","https://openalex.org/W2091778135","https://openalex.org/W2092567413","https://openalex.org/W2093817972","https://openalex.org/W2095041371","https://openalex.org/W2095572167","https://openalex.org/W2096031094","https://openalex.org/W2096456982","https://openalex.org/W2099881008","https://openalex.org/W2102694816","https://openalex.org/W2103606462","https://openalex.org/W2104955184","https://openalex.org/W2108753040","https://openalex.org/W2110814648","https://openalex.org/W2114790984","https://openalex.org/W2142094322","https://openalex.org/W2150300407","https://openalex.org/W2154970827","https://openalex.org/W2159723858","https://openalex.org/W2164639651","https://openalex.org/W2321310861","https://openalex.org/W2407754386","https://openalex.org/W2724407126","https://openalex.org/W2795407492","https://openalex.org/W3003821699","https://openalex.org/W3145729140","https://openalex.org/W3149806409","https://openalex.org/W4210801651","https://openalex.org/W4231203926","https://openalex.org/W4251968889","https://openalex.org/W4254163830","https://openalex.org/W4285719527","https://openalex.org/W4300793813"],"related_works":["https://openalex.org/W571743577","https://openalex.org/W2761284451","https://openalex.org/W2389032076","https://openalex.org/W2509466404","https://openalex.org/W2616008833","https://openalex.org/W2991022527","https://openalex.org/W2161704621","https://openalex.org/W2605452465","https://openalex.org/W4290096735","https://openalex.org/W2356040851"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":13},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}