{"id":"https://openalex.org/W2084867999","doi":"https://doi.org/10.1080/00207169708804587","title":"Derivation of new block methods for the numerical solution of first-order IVP's","display_name":"Derivation of new block methods for the numerical solution of first-order IVP's","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W2084867999","doi":"https://doi.org/10.1080/00207169708804587","mag":"2084867999"},"language":"en","primary_location":{"id":"doi:10.1080/00207169708804587","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169708804587","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5031566566","display_name":"Salman Abbas","orcid":"https://orcid.org/0000-0003-4724-4603"},"institutions":[{"id":"https://openalex.org/I106663880","display_name":"University of Bahrain","ror":"https://ror.org/0317ekv86","country_code":"BH","type":"education","lineage":["https://openalex.org/I106663880"]},{"id":"https://openalex.org/I8541234","display_name":"University College of Bahrain","ror":"https://ror.org/00m2z1b30","country_code":"BH","type":"education","lineage":["https://openalex.org/I8541234"]}],"countries":["BH"],"is_corresponding":true,"raw_author_name":"Salman Abbas","raw_affiliation_strings":["\n Department of Mathematics, University of Bahrain, P.O. Box 32038, Bahrain","Department of Mathematics, University of Bahrain, P.O. Box 32038, Bahrain"],"affiliations":[{"raw_affiliation_string":"\n Department of Mathematics, University of Bahrain, P.O. Box 32038, Bahrain","institution_ids":["https://openalex.org/I106663880","https://openalex.org/I8541234"]},{"raw_affiliation_string":"Department of Mathematics, University of Bahrain, P.O. Box 32038, Bahrain","institution_ids":["https://openalex.org/I106663880"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5031566566"],"corresponding_institution_ids":["https://openalex.org/I106663880","https://openalex.org/I8541234"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.26387625,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"64","issue":"3-4","first_page":"235","last_page":"244"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9970999956130981,"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":0.9965999722480774,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8073222637176514},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.604161262512207},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.580441951751709},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5757126212120056},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.46541643142700195},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4487088918685913},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4192770719528198},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.4155206084251404},{"id":"https://openalex.org/keywords/order-of-accuracy","display_name":"Order of accuracy","score":0.41171687841415405},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3300206661224365},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31842201948165894},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.16032379865646362},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12233567237854004},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10216665267944336}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8073222637176514},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.604161262512207},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.580441951751709},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5757126212120056},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.46541643142700195},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4487088918685913},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4192770719528198},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.4155206084251404},{"id":"https://openalex.org/C39177556","wikidata":"https://www.wikidata.org/wiki/Q7100567","display_name":"Order of accuracy","level":4,"score":0.41171687841415405},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3300206661224365},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31842201948165894},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.16032379865646362},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12233567237854004},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10216665267944336},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207169708804587","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169708804587","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321167","display_name":"University of Bahrain","ror":"https://ror.org/0317ekv86"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1876990430","https://openalex.org/W2023344463","https://openalex.org/W2036296820","https://openalex.org/W2047993099","https://openalex.org/W2050767353","https://openalex.org/W2054361114","https://openalex.org/W2076055377","https://openalex.org/W2081953057","https://openalex.org/W2082592924","https://openalex.org/W2176149742"],"related_works":["https://openalex.org/W2553664144","https://openalex.org/W2131322676","https://openalex.org/W4381736947","https://openalex.org/W2028464747","https://openalex.org/W1989124327","https://openalex.org/W2913782054","https://openalex.org/W3143287385","https://openalex.org/W21577569","https://openalex.org/W2004918682","https://openalex.org/W26965984"],"abstract_inverted_index":{"Abstract":[0],"New":[1],"block":[2],"methods":[3,24],"of":[4,13,22,31],"order":[5],"two":[6],"and":[7],"three":[8],"for":[9],"the":[10,32,36],"numerical":[11],"solution":[12],"initial":[14],"value":[15],"problems":[16],"are":[17,25],"derived.":[18],"The":[19],"matrix":[20],"coefficients":[21],"these":[23],"chosen":[26],"such":[27],"that":[28],"low":[29],"powers":[30],"blocksize":[33],"appear":[34],"in":[35],"principal":[37],"local":[38],"truncation":[39],"errors.":[40],"Keywords:":[41],"Predictor-Corrector":[42],"methodsordinary":[43],"differential":[44],"equationsparallel":[45],"methodsblock":[46],"methodsAMS":[47],"Subject":[48],"Classification:":[49],"65L0565Y05C.R.Categories:":[50],"G.1.7":[51]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}