{"id":"https://openalex.org/W956573660","doi":"https://doi.org/10.1007/978-3-642-28145-7_12","title":"An Interval Version of the Crank-Nicolson Method \u2013 The First Approach","display_name":"An Interval Version of the Crank-Nicolson Method \u2013 The First Approach","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W956573660","doi":"https://doi.org/10.1007/978-3-642-28145-7_12","mag":"956573660"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-28145-7_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-28145-7_12","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":"book-chapter","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/A5082710129","display_name":"Andrzej Marciniak","orcid":null},"institutions":[{"id":"https://openalex.org/I46597724","display_name":"Pozna\u0144 University of Technology","ror":"https://ror.org/00p7p3302","country_code":"PL","type":"education","lineage":["https://openalex.org/I46597724"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Andrzej Marciniak","raw_affiliation_strings":["Institute of Computing Science, Poznan University of Technology, Piotrowo 2, 60-965, Poznan, Poland","Institute of Computing Science Poznan University of Technology Poznan Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Computing Science, Poznan University of Technology, Piotrowo 2, 60-965, Poznan, Poland","institution_ids":["https://openalex.org/I46597724"]},{"raw_affiliation_string":"Institute of Computing Science Poznan University of Technology Poznan Poland","institution_ids":["https://openalex.org/I46597724"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5082710129"],"corresponding_institution_ids":["https://openalex.org/I46597724"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.704,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.89036609,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"120","last_page":"126"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"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":0.9976999759674072,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.7868362665176392},{"id":"https://openalex.org/keywords/crank\u2013nicolson-method","display_name":"Crank\u2013Nicolson method","score":0.7748884558677673},{"id":"https://openalex.org/keywords/rounding","display_name":"Rounding","score":0.7628960609436035},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.687034010887146},{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"Interval arithmetic","score":0.6281536817550659},{"id":"https://openalex.org/keywords/crank","display_name":"Crank","score":0.6265163421630859},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5733478665351868},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5129725337028503},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.493976891040802},{"id":"https://openalex.org/keywords/round-off-error","display_name":"Round-off error","score":0.4619358777999878},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4326874017715454},{"id":"https://openalex.org/keywords/floating-point","display_name":"Floating point","score":0.432169646024704},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3684068024158478},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.359863817691803},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.172186940908432},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08178690075874329},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07896304130554199}],"concepts":[{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.7868362665176392},{"id":"https://openalex.org/C180931078","wikidata":"https://www.wikidata.org/wiki/Q588725","display_name":"Crank\u2013Nicolson method","level":3,"score":0.7748884558677673},{"id":"https://openalex.org/C136625980","wikidata":"https://www.wikidata.org/wiki/Q663208","display_name":"Rounding","level":2,"score":0.7628960609436035},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.687034010887146},{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.6281536817550659},{"id":"https://openalex.org/C198994188","wikidata":"https://www.wikidata.org/wiki/Q857558","display_name":"Crank","level":3,"score":0.6265163421630859},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5733478665351868},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5129725337028503},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.493976891040802},{"id":"https://openalex.org/C61005703","wikidata":"https://www.wikidata.org/wiki/Q2145211","display_name":"Round-off error","level":2,"score":0.4619358777999878},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4326874017715454},{"id":"https://openalex.org/C84211073","wikidata":"https://www.wikidata.org/wiki/Q117879","display_name":"Floating point","level":2,"score":0.432169646024704},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3684068024158478},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.359863817691803},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.172186940908432},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08178690075874329},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07896304130554199},{"id":"https://openalex.org/C203311528","wikidata":"https://www.wikidata.org/wiki/Q34132","display_name":"Cylinder","level":2,"score":0.0},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-28145-7_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-28145-7_12","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":19,"referenced_works":["https://openalex.org/W1589121839","https://openalex.org/W1635779336","https://openalex.org/W1845631146","https://openalex.org/W1964953411","https://openalex.org/W1972101384","https://openalex.org/W1989432835","https://openalex.org/W1992702716","https://openalex.org/W1996282011","https://openalex.org/W2053630926","https://openalex.org/W2057055494","https://openalex.org/W2069825639","https://openalex.org/W2070851600","https://openalex.org/W2078886696","https://openalex.org/W2089834336","https://openalex.org/W2091139924","https://openalex.org/W2149167749","https://openalex.org/W2318791446","https://openalex.org/W2335313660","https://openalex.org/W4301648907"],"related_works":["https://openalex.org/W2184193744","https://openalex.org/W2101640546","https://openalex.org/W2075472361","https://openalex.org/W3039927303","https://openalex.org/W2383134623","https://openalex.org/W90649232","https://openalex.org/W1531117830","https://openalex.org/W1965905913","https://openalex.org/W2054870455","https://openalex.org/W2150541571"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}