{"id":"https://openalex.org/W2024474116","doi":"https://doi.org/10.1016/s0378-4754(03)00038-7","title":"\u03f5-Shell error analysis for \u201cWalk On Spheres\u201d algorithms","display_name":"\u03f5-Shell error analysis for \u201cWalk On Spheres\u201d algorithms","publication_year":2003,"publication_date":"2003-06-01","ids":{"openalex":"https://openalex.org/W2024474116","doi":"https://doi.org/10.1016/s0378-4754(03)00038-7","mag":"2024474116"},"language":"en","primary_location":{"id":"doi:10.1016/s0378-4754(03)00038-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0378-4754(03)00038-7","pdf_url":null,"source":{"id":"https://openalex.org/S32114090","display_name":"Mathematics and Computers in Simulation","issn_l":"0378-4754","issn":["0378-4754","1872-7166"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Computers in Simulation","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/A5071387306","display_name":"Michael Mascagni","orcid":"https://orcid.org/0000-0003-3058-4580"},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Mascagni","raw_affiliation_strings":["Department of Computer Science, Florida State University, 203 Love Building Tallahassee, FL 32306-4530, USA","Department of Computer Science, Florida State University, 203 Love Building Tallahassee, FL#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Florida State University, 203 Love Building Tallahassee, FL 32306-4530, USA","institution_ids":["https://openalex.org/I103163165"]},{"raw_affiliation_string":"Department of Computer Science, Florida State University, 203 Love Building Tallahassee, FL#TAB#","institution_ids":["https://openalex.org/I103163165"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009600208","display_name":"Chi\u2010Ok Hwang","orcid":"https://orcid.org/0000-0001-6731-1418"},"institutions":[{"id":"https://openalex.org/I4575257","display_name":"Hanyang University","ror":"https://ror.org/046865y68","country_code":"KR","type":"education","lineage":["https://openalex.org/I4575257"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Chi-Ok Hwang","raw_affiliation_strings":["Innovative Technology Center for Radiation Safety, Hanyang University, HIT Building, 17 Haengdang-Dong, Sungdong-Gu, Seoul 133-791, South Korea","Innovative Technology Center for Radiation Safety, Hanyang University, HIT Building, 17 Haengdang-Dong, Sungdong-Gu, Seoul 133-791, South Korea#TAB#"],"affiliations":[{"raw_affiliation_string":"Innovative Technology Center for Radiation Safety, Hanyang University, HIT Building, 17 Haengdang-Dong, Sungdong-Gu, Seoul 133-791, South Korea","institution_ids":["https://openalex.org/I4575257"]},{"raw_affiliation_string":"Innovative Technology Center for Radiation Safety, Hanyang University, HIT Building, 17 Haengdang-Dong, Sungdong-Gu, Seoul 133-791, South Korea#TAB#","institution_ids":["https://openalex.org/I4575257"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5009600208"],"corresponding_institution_ids":["https://openalex.org/I4575257"],"apc_list":{"value":1740,"currency":"USD","value_usd":1740},"apc_paid":null,"fwci":0.8135,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.70338934,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"63","issue":"2","first_page":"93","last_page":"104"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"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/T10591","display_name":"Theoretical and Computational Physics","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"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/T13126","display_name":"Scientific Research and Discoveries","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.5962122678756714},{"id":"https://openalex.org/keywords/random-walk","display_name":"Random walk","score":0.5704267024993896},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.4872690439224243},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44685110449790955},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.44138070940971375},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4394882023334503},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4368981719017029},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4179121255874634},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39874228835105896},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3760138750076294},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.33424729108810425},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21275338530540466},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15390810370445251},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08786949515342712}],"concepts":[{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5962122678756714},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.5704267024993896},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.4872690439224243},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44685110449790955},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.44138070940971375},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4394882023334503},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4368981719017029},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4179121255874634},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39874228835105896},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3760138750076294},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.33424729108810425},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21275338530540466},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15390810370445251},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08786949515342712}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0378-4754(03)00038-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0378-4754(03)00038-7","pdf_url":null,"source":{"id":"https://openalex.org/S32114090","display_name":"Mathematics and Computers in Simulation","issn_l":"0378-4754","issn":["0378-4754","1872-7166"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Computers in Simulation","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:eee:matcom:v:63:y:2003:i:2:p:93-104","is_oa":false,"landing_page_url":"http://www.sciencedirect.com/science/article/pii/S0378475403000387","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1549206114","https://openalex.org/W1579647295","https://openalex.org/W1891467751","https://openalex.org/W1990478517","https://openalex.org/W2005629541","https://openalex.org/W2006533898","https://openalex.org/W2018631534","https://openalex.org/W2036661831","https://openalex.org/W2039573123","https://openalex.org/W2040729805","https://openalex.org/W2044578323","https://openalex.org/W2048012977","https://openalex.org/W2054757033","https://openalex.org/W2066820176","https://openalex.org/W2079317421","https://openalex.org/W2140068426","https://openalex.org/W2147035016","https://openalex.org/W2564031986","https://openalex.org/W3039083618","https://openalex.org/W3111685920","https://openalex.org/W4241119511","https://openalex.org/W4249393082","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1500184395","https://openalex.org/W1984953408","https://openalex.org/W4256106892","https://openalex.org/W2069784381","https://openalex.org/W2915710275","https://openalex.org/W1984231369","https://openalex.org/W1984106051","https://openalex.org/W2047730402","https://openalex.org/W2968903658","https://openalex.org/W3177175971"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
