{"id":"https://openalex.org/W2012473697","doi":"https://doi.org/10.1080/00207160211293","title":"Tension Spline for the Solution of Self-adjoint Singular Perturbation Problems","display_name":"Tension Spline for the Solution of Self-adjoint Singular Perturbation Problems","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2012473697","doi":"https://doi.org/10.1080/00207160211293","mag":"2012473697"},"language":"en","primary_location":{"id":"doi:10.1080/00207160211293","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160211293","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/A5110012684","display_name":"Mohan K. Kadalbajoo","orcid":null},"institutions":[{"id":"https://openalex.org/I94234084","display_name":"Indian Institute of Technology Kanpur","ror":"https://ror.org/05pjsgx75","country_code":"IN","type":"education","lineage":["https://openalex.org/I94234084"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mohan K. Kadalbajoo","raw_affiliation_strings":["\n                   \n               Department of Mathematics, Indian Institute of Technology, Kanpur, 208 016, India","Department of Mathematics, Indian Institute of Technology, Kanpur \u2013 208 016, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\n                   \n               Department of Mathematics, Indian Institute of Technology, Kanpur, 208 016, India","institution_ids":["https://openalex.org/I94234084"]},{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology, Kanpur \u2013 208 016, India","institution_ids":["https://openalex.org/I94234084"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078740069","display_name":"Kailash C. Patidar","orcid":"https://orcid.org/0000-0003-4738-637X"},"institutions":[{"id":"https://openalex.org/I94234084","display_name":"Indian Institute of Technology Kanpur","ror":"https://ror.org/05pjsgx75","country_code":"IN","type":"education","lineage":["https://openalex.org/I94234084"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Kailash C. Patidar","raw_affiliation_strings":["\n                   \n               Department of Mathematics, Indian Institute of Technology, Kanpur, 208 016, India","Department of Mathematics, Indian Institute of Technology, Kanpur \u2013 208 016, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\n                   \n               Department of Mathematics, Indian Institute of Technology, Kanpur, 208 016, India","institution_ids":["https://openalex.org/I94234084"]},{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology, Kanpur \u2013 208 016, India","institution_ids":["https://openalex.org/I94234084"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I94234084"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.14352283,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"79","issue":"7","first_page":"849","last_page":"865"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9997000098228455,"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":0.9997000098228455,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9902999997138977,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9897000193595886,"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/mathematics","display_name":"Mathematics","score":0.813863217830658},{"id":"https://openalex.org/keywords/singular-perturbation","display_name":"Singular perturbation","score":0.7481841444969177},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.63724684715271},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.6135917901992798},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5788987874984741},{"id":"https://openalex.org/keywords/singular-solution","display_name":"Singular solution","score":0.5249538421630859},{"id":"https://openalex.org/keywords/thin-plate-spline","display_name":"Thin plate spline","score":0.4403543472290039},{"id":"https://openalex.org/keywords/singular-point-of-a-curve","display_name":"Singular point of a curve","score":0.4321422576904297},{"id":"https://openalex.org/keywords/tension","display_name":"Tension (geology)","score":0.4164758324623108},{"id":"https://openalex.org/keywords/perfect-spline","display_name":"Perfect spline","score":0.4105081856250763},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3552151024341583},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.13961365818977356},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.09677168726921082}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.813863217830658},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.7481841444969177},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.63724684715271},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.6135917901992798},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5788987874984741},{"id":"https://openalex.org/C135909967","wikidata":"https://www.wikidata.org/wiki/Q4338245","display_name":"Singular solution","level":2,"score":0.5249538421630859},{"id":"https://openalex.org/C93132110","wikidata":"https://www.wikidata.org/wiki/Q7784288","display_name":"Thin plate spline","level":4,"score":0.4403543472290039},{"id":"https://openalex.org/C200917960","wikidata":"https://www.wikidata.org/wiki/Q3847057","display_name":"Singular point of a curve","level":2,"score":0.4321422576904297},{"id":"https://openalex.org/C186068551","wikidata":"https://www.wikidata.org/wiki/Q13255585","display_name":"Tension (geology)","level":3,"score":0.4164758324623108},{"id":"https://openalex.org/C205224112","wikidata":"https://www.wikidata.org/wiki/Q4426180","display_name":"Perfect spline","level":5,"score":0.4105081856250763},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3552151024341583},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.13961365818977356},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.09677168726921082},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","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/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160211293","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160211293","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":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W2005171998","https://openalex.org/W2036371403","https://openalex.org/W2046904024","https://openalex.org/W2049889663","https://openalex.org/W2056692226","https://openalex.org/W2063990088","https://openalex.org/W2085676064","https://openalex.org/W2162870748","https://openalex.org/W2165200356","https://openalex.org/W2588802287","https://openalex.org/W2999148762"],"related_works":["https://openalex.org/W280422457","https://openalex.org/W2207626293","https://openalex.org/W3216291260","https://openalex.org/W2372707095","https://openalex.org/W2004231476","https://openalex.org/W2027210171","https://openalex.org/W150481877","https://openalex.org/W1992433872","https://openalex.org/W2913327470","https://openalex.org/W1979490081"],"abstract_inverted_index":{"A":[0],"numerical":[1,31],"method":[2,25],"based":[3],"on":[4],"spline":[5],"in":[6,23],"tension":[7],"is":[8,33],"given":[9,34],"for":[10],"the":[11,37],"self-adjoint":[12],"singularly":[13],"perturbed":[14],"two":[15],"point":[16],"boundary":[17],"value":[18],"problems.":[19],"The":[20],"schemes":[21],"derived":[22],"this":[24],"are":[26],"second":[27],"order":[28],"accurate.":[29],"One":[30],"example":[32],"to":[35],"support":[36],"predicted":[38],"theory.":[39],"Keywords:":[40],"Singular":[41],"PerturbationBoundary":[42],"Value":[43],"ProblemsOdesSpline":[44],"In":[45],"Tension":[46]},"counts_by_year":[{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}