{"id":"https://openalex.org/W1977251996","doi":"https://doi.org/10.1007/s10208001002","title":"Stiff Oscillatory Systems, Delta Jumps and White Noise","display_name":"Stiff Oscillatory Systems, Delta Jumps and White Noise","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W1977251996","doi":"https://doi.org/10.1007/s10208001002","mag":"1977251996"},"language":"en","primary_location":{"id":"doi:10.1007/s10208001002","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208001002","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational 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/A5074218001","display_name":"B. Cano","orcid":"https://orcid.org/0000-0002-9212-9156"},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"B. Cano","raw_affiliation_strings":["Departamento de Matem\u00e1tica Applicada  y Computaci\u00f3n   Facultad de Ciencias  Universidad de Valladolid  Valladolid, Spain\n, ES","Departamento de Matem\u00e1tica Applicada  y Computaci\u00f3n   Facultad de Ciencias  Universidad de Valladolid  Valladolid, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Applicada  y Computaci\u00f3n   Facultad de Ciencias  Universidad de Valladolid  Valladolid, Spain\n, ES","institution_ids":["https://openalex.org/I108103353"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica Applicada  y Computaci\u00f3n   Facultad de Ciencias  Universidad de Valladolid  Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032114852","display_name":"Andrew M. Stuart","orcid":"https://orcid.org/0000-0001-9091-7266"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"A. M. Stuart","raw_affiliation_strings":["Mathematics Institute   University of Warwick    Coventry CV4 7AL, UK   , GB","Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK"],"affiliations":[{"raw_affiliation_string":"Mathematics Institute   University of Warwick    Coventry CV4 7AL, UK   , GB","institution_ids":["https://openalex.org/I39555362"]},{"raw_affiliation_string":"Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064002486","display_name":"Endre S\u00fcli","orcid":"https://orcid.org/0000-0002-0812-6105"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"E. S\u00fcli","raw_affiliation_strings":["Oxford University Computing Laboratory   Wolfson Building, Parks Road   Oxford OX1 3QD, UK\n, GB","Oxford University Computing Laboratory   Wolfson Building, Parks Road   Oxford OX1 3QD, UK"],"affiliations":[{"raw_affiliation_string":"Oxford University Computing Laboratory   Wolfson Building, Parks Road   Oxford OX1 3QD, UK\n, GB","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"Oxford University Computing Laboratory   Wolfson Building, Parks Road   Oxford OX1 3QD, UK","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046238446","display_name":"Jared Warren","orcid":"https://orcid.org/0000-0003-4028-7969"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. O. Warren","raw_affiliation_strings":["Scientific Computing and Computational Mathematics Program    Gates 288   Stanford University   Stanford, CA 94305-9025,  USA, US","Scientific Computing and Computational Mathematics Program    Gates 288   Stanford University   Stanford, CA 94305-9025,  USA"],"affiliations":[{"raw_affiliation_string":"Scientific Computing and Computational Mathematics Program    Gates 288   Stanford University   Stanford, CA 94305-9025,  USA, US","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Scientific Computing and Computational Mathematics Program    Gates 288   Stanford University   Stanford, CA 94305-9025,  USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5074218001"],"corresponding_institution_ids":["https://openalex.org/I108103353"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.6755,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.87941176,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"1","issue":"1","first_page":"69","last_page":"100"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9952999949455261,"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":0.9919999837875366,"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/mathematics","display_name":"Mathematics","score":0.7941466569900513},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.7403748035430908},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5741226673126221},{"id":"https://openalex.org/keywords/superposition-principle","display_name":"Superposition principle","score":0.5493547320365906},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.522853434085846},{"id":"https://openalex.org/keywords/forcing","display_name":"Forcing (mathematics)","score":0.4909115433692932},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.48929283022880554},{"id":"https://openalex.org/keywords/dirac-delta-function","display_name":"Dirac delta function","score":0.4621155560016632},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4609864354133606},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19664821028709412}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7941466569900513},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.7403748035430908},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5741226673126221},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.5493547320365906},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.522853434085846},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.4909115433692932},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.48929283022880554},{"id":"https://openalex.org/C54486999","wikidata":"https://www.wikidata.org/wiki/Q209675","display_name":"Dirac delta function","level":2,"score":0.4621155560016632},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4609864354133606},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19664821028709412},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.1007/s10208001002","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208001002","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:uuid:2e6e56a4-e4a7-49f2-9ab6-c2c0a01eb606","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"http://eprints.maths.ox.ac.uk/1302","raw_type":"Technical Report"},{"id":"pmh:oai:authors.library.caltech.edu:78166","is_oa":false,"landing_page_url":"https://resolver.caltech.edu/CaltechAUTHORS:20170613-130016747","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.189.5381","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.189.5381","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.berkeley.edu/%7Estrain/228b.S01/projects/stuart.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.3.3932","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.3.3932","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.comlab.ox.ac.uk/pub/Documents/techreports/NA-98-15.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.48.6749","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.48.6749","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-sccm.stanford.edu/pub/sccm/sccm99-01.ps.gz","raw_type":"text"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:2e6e56a4-e4a7-49f2-9ab6-c2c0a01eb606","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:2e6e56a4-e4a7-49f2-9ab6-c2c0a01eb606","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://eprints.maths.ox.ac.uk/1302","raw_type":"Report"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:60ba06af-6ea4-4a11-bd89-cb84e84626d1","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:60ba06af-6ea4-4a11-bd89-cb84e84626d1","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symplectic Elements at Oxford","raw_type":"Journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7432713564","display_name":null,"funder_award_id":"EP/F050798/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W657747163","https://openalex.org/W1575104486","https://openalex.org/W1589649952","https://openalex.org/W1622109668","https://openalex.org/W1968716084","https://openalex.org/W1979146918","https://openalex.org/W1981475009","https://openalex.org/W2022702839","https://openalex.org/W2037721359","https://openalex.org/W2067121678","https://openalex.org/W2139794367","https://openalex.org/W2139798591","https://openalex.org/W2171367752"],"related_works":["https://openalex.org/W2371448224","https://openalex.org/W3134495997","https://openalex.org/W2363680170","https://openalex.org/W2376428685","https://openalex.org/W4256082577","https://openalex.org/W625783435","https://openalex.org/W2048742619","https://openalex.org/W2384641672","https://openalex.org/W563621009","https://openalex.org/W1553917386"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}