{"id":"https://openalex.org/W2067939568","doi":"https://doi.org/10.1137/s0036142997330792","title":"Gaussian Spectral Rules for the Three-Point Second Differences: I. A Two-Point Positive Definite Problem in a Semi-Infinite Domain","display_name":"Gaussian Spectral Rules for the Three-Point Second Differences: I. A Two-Point Positive Definite Problem in a Semi-Infinite Domain","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2067939568","doi":"https://doi.org/10.1137/s0036142997330792","mag":"2067939568"},"language":"en","primary_location":{"id":"doi:10.1137/s0036142997330792","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142997330792","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","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/A5103246670","display_name":"Vladimir Druskin","orcid":"https://orcid.org/0000-0003-2206-100X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vladimir Druskin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5031659683","display_name":"Leonid Knizhnerman","orcid":"https://orcid.org/0000-0002-8622-1503"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Leonid Knizhnerman","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.1796,"has_fulltext":false,"cited_by_count":62,"citation_normalized_percentile":{"value":0.93869173,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"37","issue":"2","first_page":"403","last_page":"422"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9990000128746033,"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":0.9117464423179626},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6009805798530579},{"id":"https://openalex.org/keywords/finite-difference-coefficient","display_name":"Finite difference coefficient","score":0.502504825592041},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.49947667121887207},{"id":"https://openalex.org/keywords/laplaces-equation","display_name":"Laplace's equation","score":0.494023859500885},{"id":"https://openalex.org/keywords/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.42541268467903137},{"id":"https://openalex.org/keywords/stencil","display_name":"Stencil","score":0.42401134967803955},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.41546499729156494},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.40327078104019165},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3903893828392029},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.1920289397239685},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.08924862742424011}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9117464423179626},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6009805798530579},{"id":"https://openalex.org/C108268861","wikidata":"https://www.wikidata.org/wiki/Q1747602","display_name":"Finite difference coefficient","level":4,"score":0.502504825592041},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.49947667121887207},{"id":"https://openalex.org/C70615421","wikidata":"https://www.wikidata.org/wiki/Q339444","display_name":"Laplace's equation","level":3,"score":0.494023859500885},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.42541268467903137},{"id":"https://openalex.org/C76752949","wikidata":"https://www.wikidata.org/wiki/Q7607499","display_name":"Stencil","level":2,"score":0.42401134967803955},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.41546499729156494},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.40327078104019165},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3903893828392029},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.1920289397239685},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.08924862742424011},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036142997330792","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142997330792","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","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":24,"referenced_works":["https://openalex.org/W586433912","https://openalex.org/W592374772","https://openalex.org/W1482537073","https://openalex.org/W1539593706","https://openalex.org/W1558122728","https://openalex.org/W1595515622","https://openalex.org/W1856413987","https://openalex.org/W1977794655","https://openalex.org/W1983558954","https://openalex.org/W1985050908","https://openalex.org/W1991152766","https://openalex.org/W1994751539","https://openalex.org/W2015519202","https://openalex.org/W2022615414","https://openalex.org/W2023364856","https://openalex.org/W2059586807","https://openalex.org/W2060418160","https://openalex.org/W2085955208","https://openalex.org/W2086862654","https://openalex.org/W2128978199","https://openalex.org/W2498647973","https://openalex.org/W3040464464","https://openalex.org/W4248625248","https://openalex.org/W4252651393"],"related_works":["https://openalex.org/W1965041963","https://openalex.org/W2768302376","https://openalex.org/W1988071029","https://openalex.org/W2330640442","https://openalex.org/W2983915667","https://openalex.org/W1517265138","https://openalex.org/W2026463302","https://openalex.org/W2020290318","https://openalex.org/W3143181698","https://openalex.org/W2039547360"],"abstract_inverted_index":{"We":[0,35],"suggest":[1],"an":[2],"approach":[3],"to":[4,20,42,73],"grid":[5,52],"optimization":[6],"for":[7,13],"a":[8,30,43],"second":[9,72],"order":[10,66],"finite-difference":[11,23,51,81],"scheme":[12,82],"elliptic":[14],"equations.":[15],"A":[16],"model":[17],"problem":[18],"corresponding":[19],"the":[21,26,37,54,58,64,68,77,80],"three-point":[22],"semidiscretization":[24],"of":[25,49,57,67,79],"Laplace":[27],"equation":[28],"on":[29],"semi-infinite":[31],"strip":[32],"is":[33],"considered.":[34],"relate":[36],"approximate":[38],"boundary":[39],"Neumann-to-Dirichlet":[40,69],"map":[41,70],"rational":[44],"function":[45],"and":[46,83],"calculate":[47],"steps":[48],"our":[50],"using":[53],"Pad\u00e9--Chebyshev":[55],"approximation":[56],"inverse":[59],"square":[60],"root.":[61],"It":[62],"increases":[63],"convergence":[65],"from":[71],"exponential":[74],"without":[75],"increasing":[76],"stencil":[78],"losing":[84],"stability.":[85]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
