{"id":"https://openalex.org/W1507097924","doi":"https://doi.org/10.1007/978-3-540-25944-2_54","title":"Extrapolation Techniques for Computing Accurate Solutions of Elliptic Problems with Singular Solutions","display_name":"Extrapolation Techniques for Computing Accurate Solutions of Elliptic Problems with Singular Solutions","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W1507097924","doi":"https://doi.org/10.1007/978-3-540-25944-2_54","mag":"1507097924"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-25944-2_54","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-25944-2_54","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","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/A5043208394","display_name":"Harald Koestler","orcid":"https://orcid.org/0000-0002-6992-2690"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"H. Koestler","raw_affiliation_strings":["University of Erlangen-Nuremberg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Erlangen-Nuremberg, Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047821416","display_name":"Ulrich Ruede","orcid":"https://orcid.org/0000-0001-8796-8599"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"U. Ruede","raw_affiliation_strings":["University of Erlangen-Nuremberg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Erlangen-Nuremberg, Germany","institution_ids":["https://openalex.org/I181369854"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I181369854"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"410","last_page":"417"},"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":0.9990000128746033,"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":0.9990000128746033,"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":0.9954000115394592,"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":0.9937000274658203,"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/richardson-extrapolation","display_name":"Richardson extrapolation","score":0.7615094184875488},{"id":"https://openalex.org/keywords/pointwise","display_name":"Pointwise","score":0.6725152730941772},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.6630014777183533},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5971243381500244},{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.5702967643737793},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5148853063583374},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47099512815475464},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.47009703516960144},{"id":"https://openalex.org/keywords/order-of-accuracy","display_name":"Order of accuracy","score":0.4645381271839142},{"id":"https://openalex.org/keywords/stencil","display_name":"Stencil","score":0.44336363673210144},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.4301730692386627},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.42801228165626526},{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.41311201453208923},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4071066379547119},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3866931200027466},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3271699547767639},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2790379524230957},{"id":"https://openalex.org/keywords/method-of-characteristics","display_name":"Method of characteristics","score":0.10813122987747192}],"concepts":[{"id":"https://openalex.org/C102893441","wikidata":"https://www.wikidata.org/wiki/Q1063089","display_name":"Richardson extrapolation","level":3,"score":0.7615094184875488},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.6725152730941772},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.6630014777183533},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5971243381500244},{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.5702967643737793},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5148853063583374},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47099512815475464},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.47009703516960144},{"id":"https://openalex.org/C39177556","wikidata":"https://www.wikidata.org/wiki/Q7100567","display_name":"Order of accuracy","level":4,"score":0.4645381271839142},{"id":"https://openalex.org/C76752949","wikidata":"https://www.wikidata.org/wiki/Q7607499","display_name":"Stencil","level":2,"score":0.44336363673210144},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.4301730692386627},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.42801228165626526},{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.41311201453208923},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4071066379547119},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3866931200027466},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3271699547767639},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2790379524230957},{"id":"https://openalex.org/C33163149","wikidata":"https://www.wikidata.org/wiki/Q1785085","display_name":"Method of characteristics","level":3,"score":0.10813122987747192},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-25944-2_54","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-25944-2_54","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W639724235","https://openalex.org/W1530872699","https://openalex.org/W1661918802","https://openalex.org/W2014069146","https://openalex.org/W2068073951","https://openalex.org/W2127981460","https://openalex.org/W2608122207","https://openalex.org/W4230055019"],"related_works":["https://openalex.org/W2014327818","https://openalex.org/W1409194387","https://openalex.org/W61888946","https://openalex.org/W2350921643","https://openalex.org/W2351638510","https://openalex.org/W2025716724","https://openalex.org/W2348933902","https://openalex.org/W4389319301","https://openalex.org/W4389116067","https://openalex.org/W2383156613"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
