{"id":"https://openalex.org/W4283780546","doi":"https://doi.org/10.1007/s00500-022-07288-1","title":"L-stable and A-stable numerical method of order two for stiff differential equation","display_name":"L-stable and A-stable numerical method of order two for stiff differential equation","publication_year":2022,"publication_date":"2022-07-02","ids":{"openalex":"https://openalex.org/W4283780546","doi":"https://doi.org/10.1007/s00500-022-07288-1"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-022-07288-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-022-07288-1","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","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/A5016186331","display_name":"Kumaravel Selvakumar","orcid":"https://orcid.org/0000-0002-6122-3342"},"institutions":[{"id":"https://openalex.org/I33585257","display_name":"Anna University, Chennai","ror":"https://ror.org/01qhf1r47","country_code":"IN","type":"education","lineage":["https://openalex.org/I33585257"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"K. Selvakumar","raw_affiliation_strings":["Department of Mathematics, Anna University, Chennai, University College of Engineering, Nagercoil, Tamilnadu, India"],"raw_orcid":"https://orcid.org/0000-0002-6122-3342","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Anna University, Chennai, University College of Engineering, Nagercoil, Tamilnadu, India","institution_ids":["https://openalex.org/I33585257"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054605953","display_name":"K. Jason","orcid":null},"institutions":[{"id":"https://openalex.org/I4387153334","display_name":"JCT College Of Engineering And Technology","ror":"https://ror.org/04ngyrz44","country_code":null,"type":"education","lineage":["https://openalex.org/I4387153334"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"K. Jason","raw_affiliation_strings":["Department of Computer Science and Engineering, JCT College of Engineering and Technology, Coimbatore, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, JCT College of Engineering and Technology, Coimbatore, India","institution_ids":["https://openalex.org/I4387153334"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5016186331"],"corresponding_institution_ids":["https://openalex.org/I33585257"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.5859,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.58356315,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"26","issue":"22","first_page":"12779","last_page":"12794"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9994000196456909,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9994000196456909,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9988999962806702,"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":0.996399998664856,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/stiff-equation","display_name":"Stiff equation","score":0.7303435802459717},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6653704047203064},{"id":"https://openalex.org/keywords/euler-method","display_name":"Euler method","score":0.5567293167114258},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5448378324508667},{"id":"https://openalex.org/keywords/stiffness","display_name":"Stiffness","score":0.5398856997489929},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5381985306739807},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5351971387863159},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4907010793685913},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4898686110973358},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.47896912693977356},{"id":"https://openalex.org/keywords/order-of-accuracy","display_name":"Order of accuracy","score":0.46419939398765564},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.4620233476161957},{"id":"https://openalex.org/keywords/numerical-methods-for-ordinary-differential-equations","display_name":"Numerical methods for ordinary differential equations","score":0.43003493547439575},{"id":"https://openalex.org/keywords/explicit-and-implicit-methods","display_name":"Explicit and implicit methods","score":0.41274258494377136},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4114595651626587},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4094197750091553},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.3781208395957947},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.3269820809364319},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.3230304718017578},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16411903500556946},{"id":"https://openalex.org/keywords/exact-differential-equation","display_name":"Exact differential equation","score":0.1272810697555542},{"id":"https://openalex.org/keywords/collocation-method","display_name":"Collocation method","score":0.10057634115219116},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08442723751068115},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08022505044937134}],"concepts":[{"id":"https://openalex.org/C43012357","wikidata":"https://www.wikidata.org/wiki/Q29744","display_name":"Stiff equation","level":3,"score":0.7303435802459717},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6653704047203064},{"id":"https://openalex.org/C75380026","wikidata":"https://www.wikidata.org/wiki/Q868454","display_name":"Euler method","level":3,"score":0.5567293167114258},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5448378324508667},{"id":"https://openalex.org/C2779372316","wikidata":"https://www.wikidata.org/wiki/Q569057","display_name":"Stiffness","level":2,"score":0.5398856997489929},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5381985306739807},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5351971387863159},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4907010793685913},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4898686110973358},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47896912693977356},{"id":"https://openalex.org/C39177556","wikidata":"https://www.wikidata.org/wiki/Q7100567","display_name":"Order of accuracy","level":4,"score":0.46419939398765564},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.4620233476161957},{"id":"https://openalex.org/C1164432","wikidata":"https://www.wikidata.org/wiki/Q541182","display_name":"Numerical methods for ordinary differential equations","level":5,"score":0.43003493547439575},{"id":"https://openalex.org/C149393637","wikidata":"https://www.wikidata.org/wiki/Q5421265","display_name":"Explicit and implicit methods","level":5,"score":0.41274258494377136},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4114595651626587},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4094197750091553},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.3781208395957947},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.3269820809364319},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.3230304718017578},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16411903500556946},{"id":"https://openalex.org/C185184677","wikidata":"https://www.wikidata.org/wiki/Q1366795","display_name":"Exact differential equation","level":4,"score":0.1272810697555542},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.10057634115219116},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08442723751068115},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08022505044937134},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00500-022-07288-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-022-07288-1","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1971947347","https://openalex.org/W2009618032","https://openalex.org/W2016680604","https://openalex.org/W2018963986","https://openalex.org/W2035155528","https://openalex.org/W2036371403","https://openalex.org/W2037810836","https://openalex.org/W2046088523","https://openalex.org/W2065960630","https://openalex.org/W2090237084","https://openalex.org/W2168400276","https://openalex.org/W2401517673"],"related_works":["https://openalex.org/W169847188","https://openalex.org/W2301897886","https://openalex.org/W2383059892","https://openalex.org/W2365993849","https://openalex.org/W2377244944","https://openalex.org/W2351515288","https://openalex.org/W2214596740","https://openalex.org/W3035301033","https://openalex.org/W4283780546","https://openalex.org/W4223996466"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2023,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}