{"id":"https://openalex.org/W2029630291","doi":"https://doi.org/10.1090/s0025-5718-02-01462-x","title":"Maximum norm stability of difference schemes for parabolic equations on overset nonmatching space-time grids","display_name":"Maximum norm stability of difference schemes for parabolic equations on overset nonmatching space-time grids","publication_year":2002,"publication_date":"2002-11-04","ids":{"openalex":"https://openalex.org/W2029630291","doi":"https://doi.org/10.1090/s0025-5718-02-01462-x","mag":"2029630291"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-02-01462-x","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-02-01462-x","pdf_url":"https://www.ams.org/mcom/2003-72-242/S0025-5718-02-01462-X/S0025-5718-02-01462-X.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/mcom/2003-72-242/S0025-5718-02-01462-X/S0025-5718-02-01462-X.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060981469","display_name":"Tarek P. Mathew","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"T. Mathew","raw_affiliation_strings":["115 Seal Rock Drive, San Francisco, California 94121","115 Seal Rock Drive, San Francisco, California#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"115 Seal Rock Drive, San Francisco, California 94121","institution_ids":[]},{"raw_affiliation_string":"115 Seal Rock Drive, San Francisco, California#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037976295","display_name":"Giovanni Russo","orcid":"https://orcid.org/0000-0003-4215-1926"},"institutions":[{"id":"https://openalex.org/I39063666","display_name":"University of Catania","ror":"https://ror.org/03a64bh57","country_code":"IT","type":"education","lineage":["https://openalex.org/I39063666"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"G. Russo","raw_affiliation_strings":["Dipartimento di Matematica ed Informatica, Universit\u00c3\u00a0 di Catania, Viale Andrea Doria 6, 95125 Catania, Italy","Dipartimento di Matematica ed Informatica, Universit\u00e0 di Catania, Viale Andrea Doria 6, 95125 Catania, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica ed Informatica, Universit\u00c3\u00a0 di Catania, Viale Andrea Doria 6, 95125 Catania, Italy","institution_ids":["https://openalex.org/I39063666"]},{"raw_affiliation_string":"Dipartimento di Matematica ed Informatica, Universit\u00e0 di Catania, Viale Andrea Doria 6, 95125 Catania, Italy","institution_ids":["https://openalex.org/I39063666"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.15186335,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"72","issue":"242","first_page":"619","last_page":"656"},"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":0.9990000128746033,"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":0.9957000017166138,"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/algorithm","display_name":"Algorithm","score":0.5912086367607117},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3478148579597473}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5912086367607117},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3478148579597473}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1090/s0025-5718-02-01462-x","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-02-01462-x","pdf_url":"https://www.ams.org/mcom/2003-72-242/S0025-5718-02-01462-X/S0025-5718-02-01462-X.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.105.4003","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.105.4003","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/mcom/2003-72-242/S0025-5718-02-01462-X/S0025-5718-02-01462-X.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.192.3725","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.192.3725","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/journals/mcom/2003-72-242/S0025-5718-02-01462-X/S0025-5718-02-01462-X.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-02-01462-x","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-02-01462-x","pdf_url":"https://www.ams.org/mcom/2003-72-242/S0025-5718-02-01462-X/S0025-5718-02-01462-X.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2029630291.pdf","grobid_xml":"https://content.openalex.org/works/W2029630291.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W105972517","https://openalex.org/W817027709","https://openalex.org/W1506342804","https://openalex.org/W1545082185","https://openalex.org/W1553070284","https://openalex.org/W1982458994","https://openalex.org/W1991647816","https://openalex.org/W1998789711","https://openalex.org/W2003642464","https://openalex.org/W2005124301","https://openalex.org/W2016740037","https://openalex.org/W2017085690","https://openalex.org/W2017182811","https://openalex.org/W2032477593","https://openalex.org/W2036180496","https://openalex.org/W2045656285","https://openalex.org/W2049302724","https://openalex.org/W2054500644","https://openalex.org/W2057747669","https://openalex.org/W2060170348","https://openalex.org/W2063806054","https://openalex.org/W2065932192","https://openalex.org/W2104126767","https://openalex.org/W2144101903","https://openalex.org/W2144859804","https://openalex.org/W2159959193","https://openalex.org/W2509362106","https://openalex.org/W2569133694","https://openalex.org/W3003821699","https://openalex.org/W3035235874","https://openalex.org/W3141151088","https://openalex.org/W4231386901","https://openalex.org/W4233138493","https://openalex.org/W4245473945","https://openalex.org/W4255625201"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2317200988","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278"],"abstract_inverted_index":{"In":[0,313],"this":[1],"paper,":[2],"theoretical":[3],"results":[4,475],"are":[5,243,409,476],"described":[6],"on":[7,21,35,322,367,423,435],"the":[8,88,183,253,260,315,323,328,360,364,413,420,433,474],"maximum":[9,404],"norm":[10],"stability":[11],"and":[12,256,288,327,394,485],"accuracy":[13],"of":[14,18,84,87,182,259,325,415,432,446,473],"finite":[15,396],"difference":[16,397],"discretizations":[17,408],"parabolic":[19,28,365],"equations":[20,29,448,481],"overset":[22],"nonmatching":[23],"space-time":[24,37,184,257,263,317,425],"grids.":[25,437],"We":[26,362],"consider":[27],"containing":[30],"a":[31,36,395,402,429,443,454,468],"linear":[32],"reaction":[33],"term":[34],"domain":[38],"<inline-formula":[39,90,149,186,268,289,331,377],"content-type=\"math/mathml\">":[40,91,150,187,269,290,332,378],"<mml:math":[41,92,151,188,270,291,333,379],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[42,93,152,189,271,292,334,380],"alttext=\"normal":[43,94,190],"upper":[44,50,95,106,191,202],"Omega":[45,96,192],"times":[46,102,198],"left-bracket":[47,103,199],"0":[48,104,200],"comma":[49,105,156,158,201],"T":[51,107,203],"right-bracket\">":[52,108,204],"<mml:semantics>":[53,109,160,205,275,296,338,382],"<mml:mrow>":[54,110,161,206],"<mml:mi":[55,112,208],"mathvariant=\"normal\">":[56,113,209],"\u03a9":[57,114,210],"</mml:mi>":[58,115,211,300,342,385],"<mml:mo>":[59,122,127,166,218,223],"\u00d7":[60,128,224],"</mml:mo>":[61,124,129,168,220,225],"<mml:mo":[62,67,130,135,226,231],"stretchy=\"false\">[</mml:mo>":[63,131,227],"<mml:mn>0</mml:mn>":[64,132,228],"<mml:mo>,</mml:mo>":[65,133,165,169,229],"<mml:mi>T</mml:mi>":[66,134,230],"stretchy=\"false\">]</mml:mo>":[68,136,232],"</mml:mrow>":[69,119,125,137,171,215,221,233,281,304,346],"<mml:annotation":[70,138,172,234,283,306,348,386],"encoding=\"application/x-tex\">\\Omega":[71,139,235],"\\times":[72,142,238],"[0,T]</mml:annotation>":[73,143,239],"</mml:semantics>":[74,144,177,240,285,309,351,388],"</mml:math>":[75,145,178,241,286,310,352,389],"</inline-formula>":[76,146,179,242,287,311,353,390],"which":[77,449],"is":[78],"decomposed":[79],"into":[80],"an":[81,373],"overlapping":[82],"collection":[83],"cylindrical":[85],"subregions":[86],"form":[89],"Subscript":[97,193,273,294,336],"l":[98,194],"Superscript":[99,195],"asterisk":[100,196],"Baseline":[101,197],"<mml:msubsup>":[111,207],"<mml:mrow":[116,120,212,216,278,301,343],"class=\"MJX-TeXAtom-ORD\">":[117,121,213,217,279,302,344],"<mml:mi>l</mml:mi>":[118,162,214,280,303,345],"\u2217":[123,219],"</mml:msubsup>":[126,222],"_{l}^{\\ast":[140,236],"}":[141,237],",":[147,175],"for":[148,479],"alttext=\"l":[153],"equals":[154],"1":[155],"ellipsis":[157],"p\">":[159],"<mml:mo>=</mml:mo>":[163],"<mml:mn>1</mml:mn>":[164],"\u2026":[167],"<mml:mi>p</mml:mi>":[170],"encoding=\"application/x-tex\">l=1,":[173],"\\dotsc":[174],"p</mml:annotation>":[176],".":[180,312],"Each":[181],"domains":[185],"assumed":[244],"to":[245,252,359,427],"be":[246,451],"independently":[247],"grided":[248],"(in":[249],"parallel)":[250],"according":[251],"local":[254,369,407],"geometry":[255],"regularity":[258],"solution,":[261],"yielding":[262],"grids":[264,318],"with":[265,482],"mesh":[266],"parameters":[267],"alttext=\"h":[272],"l\">":[274,295,337],"<mml:msub>":[276,297,339],"<mml:mi>h</mml:mi>":[277],"</mml:msub>":[282,305,347],"encoding=\"application/x-tex\">h_{l}</mml:annotation>":[284],"alttext=\"tau":[293,335],"<mml:mi>":[298,340,383],"\u03c4":[299,341],"encoding=\"application/x-tex\">\\tau":[307,349],"_{l}</mml:annotation>":[308,350],"particular,":[314],"different":[316],"need":[319],"not":[320],"match":[321,428],"regions":[324],"overlap,":[326],"time":[329,393],"steps":[330],"can":[354,450],"differ":[355],"from":[356],"one":[357],"grid":[358,370,426],"next.":[361],"discretize":[363],"equation":[366],"each":[368,424],"by":[371,418,453],"employing":[372],"explicit":[374],"or":[375],"implicit":[376],"alttext=\"theta\">":[381],"\u03b8":[384],"encoding=\"application/x-tex\">\\theta</mml:annotation>":[387],"-scheme":[391],"in":[392,399],"scheme":[398],"space":[400],"satisfying":[401],"discrete":[403],"principle.":[405],"The":[406,438],"coupled":[410,447],"together,":[411],"without":[412],"use":[414],"Lagrange":[416],"multipliers,":[417],"requiring":[419,459],"boundary":[421],"values":[422],"suitable":[430],"interpolation":[431],"solution":[434],"adjacent":[436,463],"resulting":[439],"global":[440],"discretization":[441],"yields":[442],"large":[444],"system":[445],"solved":[452],"parallel":[455],"Schwarz":[456],"iterative":[457],"procedure":[458],"some":[460],"communication":[461],"between":[462],"subregions.":[464],"Our":[465],"analysis":[466],"employs":[467],"contraction":[469],"mapping":[470],"argument.":[471],"Applications":[472],"briefly":[477],"indicated":[478],"reaction-diffusion":[480],"contractive":[483],"terms":[484],"<italic>heterogeneous</italic>":[486]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}