{"id":"https://openalex.org/W2076753973","doi":"https://doi.org/10.1137/s1064827502406695","title":"On Monotonicity of Difference Schemes for Computational Physics","display_name":"On Monotonicity of Difference Schemes for Computational Physics","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2076753973","doi":"https://doi.org/10.1137/s1064827502406695","mag":"2076753973"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827502406695","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827502406695","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific 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/A5087542063","display_name":"V. S. Borisov","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"V. S. Borisov","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5073170844","display_name":"Shaul Sorek","orcid":"https://orcid.org/0000-0002-9792-4212"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. Sorek","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5087542063"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0149,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.8554144,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"25","issue":"5","first_page":"1557","last_page":"1584"},"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9995999932289124,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9995999932289124,"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/monotonic-function","display_name":"Monotonic function","score":0.9137324690818787},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.809852123260498},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5958455801010132},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5933306217193604},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.48780205845832825},{"id":"https://openalex.org/keywords/spurious-relationship","display_name":"Spurious relationship","score":0.48445606231689453},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4433833956718445},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.44166502356529236},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4162834882736206},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.41386252641677856},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3244711756706238},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09498006105422974}],"concepts":[{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.9137324690818787},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.809852123260498},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5958455801010132},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5933306217193604},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.48780205845832825},{"id":"https://openalex.org/C97256817","wikidata":"https://www.wikidata.org/wiki/Q1462316","display_name":"Spurious relationship","level":2,"score":0.48445606231689453},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4433833956718445},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.44166502356529236},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4162834882736206},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.41386252641677856},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3244711756706238},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09498006105422974},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s1064827502406695","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827502406695","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.495.5621","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.495.5621","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.bgu.ac.il/me/staff/shaul/pdf/Monotonicity.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1529498073","https://openalex.org/W1544263269","https://openalex.org/W1567796010","https://openalex.org/W1583880678","https://openalex.org/W1592958377","https://openalex.org/W1593385775","https://openalex.org/W1963974824","https://openalex.org/W1976937175","https://openalex.org/W1983078963","https://openalex.org/W1986353141","https://openalex.org/W1998830482","https://openalex.org/W2004152688","https://openalex.org/W2013348732","https://openalex.org/W2015658263","https://openalex.org/W2034843240","https://openalex.org/W2038914044","https://openalex.org/W2043362154","https://openalex.org/W2056826596","https://openalex.org/W2057747669","https://openalex.org/W2058343115","https://openalex.org/W2058385087","https://openalex.org/W2072685235","https://openalex.org/W2080033598","https://openalex.org/W2088676085","https://openalex.org/W2090963365","https://openalex.org/W2095252584","https://openalex.org/W2113731277","https://openalex.org/W2315651828","https://openalex.org/W2320490909","https://openalex.org/W2474736000","https://openalex.org/W2501385835","https://openalex.org/W2778033595","https://openalex.org/W3003821699","https://openalex.org/W3141390961","https://openalex.org/W4231093218","https://openalex.org/W4255298633","https://openalex.org/W4255625201","https://openalex.org/W4285719527","https://openalex.org/W4297084762","https://openalex.org/W4299512035"],"related_works":["https://openalex.org/W2162899405","https://openalex.org/W3113091479","https://openalex.org/W941090075","https://openalex.org/W2044987316","https://openalex.org/W3134374554","https://openalex.org/W2237480245","https://openalex.org/W2519167559","https://openalex.org/W2075065631","https://openalex.org/W2167473861","https://openalex.org/W2196719869"],"abstract_inverted_index":{"Criteria":[0],"are":[1,29,55,80,95],"developed":[2,117],"for":[3,47,75],"monotonicity":[4,46,60,76,138],"of":[5,18,20,45,61,77,85,115],"linear":[6,51],"as":[7,9,68,70,110,130,135,137],"well":[8,69,136],"nonlinear":[10,48],"difference":[11,65,87],"schemes":[12,28,79,88,108,128],"associated":[13,93],"with":[14],"the":[15,36,43,59,92,99,113,116,124],"numerical":[16],"analysis":[17],"systems":[19],"partial":[21],"differential":[22],"equations,":[23,25],"integrodifferential":[24],"etc.":[26],"Difference":[27],"converted":[30],"into":[31],"variational":[32],"forms":[33],"that":[34,126],"satisfy":[35],"boundary":[37],"maximum":[38],"principle":[39],"and":[40,63,72,91,104],"also":[41,81],"allow":[42],"investigation":[44],"operators":[49],"using":[50],"patterns.":[52],"Sufficient":[53],"conditions":[54,74],"provided":[56],"to":[57],"review":[58],"single":[62],"coupled":[64],"schemes.":[66],"Necessary":[67],"necessary":[71],"sufficient":[73],"explicit":[78],"developed.":[82,96],"The":[83],"notion":[84],"submonotone":[86],"is":[89],"considered":[90],"criteria":[94],"We":[97],"discuss":[98],"interrelationship":[100],"between":[101],"monotonicity,":[102],"submonotonicity,":[103],"stability.":[105],"Some":[106],"known":[107],"serve":[109],"examples":[111],"demonstrating":[112],"implementation":[114],"approaches.":[118],"Among":[119],"these":[120],"examples,":[121],"we":[122],"describe":[123],"possibility":[125],"stable":[127],"such":[129],"total":[131],"variation":[132],"diminishing":[133],"(TVD)":[134],"preserving":[139],"can":[140],"produce":[141],"spurious":[142],"oscillations.":[143]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
