{"id":"https://openalex.org/W2010913194","doi":"https://doi.org/10.1137/s0036139993246982","title":"Pseudospectra of the Convection-Diffusion Operator","display_name":"Pseudospectra of the Convection-Diffusion Operator","publication_year":1994,"publication_date":"1994-12-01","ids":{"openalex":"https://openalex.org/W2010913194","doi":"https://doi.org/10.1137/s0036139993246982","mag":"2010913194"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139993246982","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139993246982","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied 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":null,"display_name":"Satish C. Reddy","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Satish C. Reddy","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5065363123","display_name":"Lloyd N. Trefethen","orcid":"https://orcid.org/0000-0003-2504-1709"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lloyd N. Trefethen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.139,"has_fulltext":false,"cited_by_count":99,"citation_normalized_percentile":{"value":0.94709381,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"54","issue":"6","first_page":"1634","last_page":"1649"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998000264167786,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998000264167786,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9993000030517578,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6403738260269165},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5814369916915894},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5728616118431091},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5701878070831299},{"id":"https://openalex.org/keywords/resolvent","display_name":"Resolvent","score":0.56298828125},{"id":"https://openalex.org/keywords/convection","display_name":"Convection","score":0.5332462787628174},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.47446733713150024},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.4515754282474518},{"id":"https://openalex.org/keywords/complex-plane","display_name":"Complex plane","score":0.4170551300048828},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2928681969642639},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.15422490239143372}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6403738260269165},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5814369916915894},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5728616118431091},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5701878070831299},{"id":"https://openalex.org/C196267783","wikidata":"https://www.wikidata.org/wiki/Q4392490","display_name":"Resolvent","level":2,"score":0.56298828125},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.5332462787628174},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.47446733713150024},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.4515754282474518},{"id":"https://openalex.org/C179117685","wikidata":"https://www.wikidata.org/wiki/Q328998","display_name":"Complex plane","level":2,"score":0.4170551300048828},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2928681969642639},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.15422490239143372},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036139993246982","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139993246982","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W8840247","https://openalex.org/W1492552547","https://openalex.org/W1527296550","https://openalex.org/W1563653928","https://openalex.org/W1570067364","https://openalex.org/W1575147392","https://openalex.org/W1969719454","https://openalex.org/W1973595837","https://openalex.org/W1974943103","https://openalex.org/W1980787167","https://openalex.org/W1985532668","https://openalex.org/W2000917451","https://openalex.org/W2006624031","https://openalex.org/W2016121728","https://openalex.org/W2022396725","https://openalex.org/W2023826509","https://openalex.org/W2036371403","https://openalex.org/W2038516800","https://openalex.org/W2041214608","https://openalex.org/W2051183358","https://openalex.org/W2055212572","https://openalex.org/W2075962499","https://openalex.org/W2076687762","https://openalex.org/W2080634148","https://openalex.org/W2082163527","https://openalex.org/W2082864352","https://openalex.org/W2098533238","https://openalex.org/W2100384730","https://openalex.org/W2108350615","https://openalex.org/W2117919754","https://openalex.org/W2137029533","https://openalex.org/W2141512966","https://openalex.org/W2165808880","https://openalex.org/W2333929843","https://openalex.org/W4240942209","https://openalex.org/W4300747487"],"related_works":["https://openalex.org/W2350866827","https://openalex.org/W2951761543","https://openalex.org/W4327812601","https://openalex.org/W2963600173","https://openalex.org/W2100603772","https://openalex.org/W2033441375","https://openalex.org/W61249772","https://openalex.org/W1573791870","https://openalex.org/W4386288098","https://openalex.org/W2042721541"],"abstract_inverted_index":{"The":[0],"spectrum":[1],"of":[2,12,35,44,72],"the":[3,13,18,23,33,36,45],"simplest":[4],"1D":[5],"convection-diffusion":[6,68],"operator":[7],"is":[8,38],"a":[9,42,49,57],"discrete":[10],"subset":[11],"negative":[14],"real":[15],"axis,":[16],"but":[17],"pseudospectra":[19],"are":[20],"regions":[21],"in":[22,75],"complex":[24],"plane":[25],"bounded":[26],"approximately":[27,51],"by":[28],"parabolas.":[29],"Put":[30],"another":[31],"way,":[32],"norm":[34],"resolvent":[37],"exponentially":[39],"large":[40],"as":[41],"function":[43],"P\u00e9clet":[46],"number":[47],"throughout":[48],"certain":[50],"parabolic":[52],"region.":[53],"These":[54],"observations":[55],"have":[56],"simple":[58],"physical":[59],"basis,":[60],"and":[61],"suggest":[62],"that":[63],"conventional":[64],"spectral":[65],"analysis":[66],"for":[67],"operators":[69],"may":[70],"be":[71],"limited":[73],"value":[74],"some":[76],"applications.":[77]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":5},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
