{"id":"https://openalex.org/W2114083186","doi":"https://doi.org/10.3217/jucs-015-06-1337","title":"Computing the Solution Operators of Symmetric Hyperbolic Systems of PDE","display_name":"Computing the Solution Operators of Symmetric Hyperbolic Systems of PDE","publication_year":2020,"publication_date":"2020-04-07","ids":{"openalex":"https://openalex.org/W2114083186","doi":"https://doi.org/10.3217/jucs-015-06-1337","mag":"2114083186"},"language":"en","primary_location":{"id":"pmh:oai:zenodo.org:7000767","is_oa":true,"landing_page_url":"https://zenodo.org/record/7000767","pdf_url":"https://zenodo.org/record/7000767","source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"JUCS - Journal of Universal Computer Science 15((6)) 1337-1364","raw_type":"info:eu-repo/semantics/article"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://zenodo.org/record/7000767","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056240155","display_name":"Svetlana Selivanova","orcid":"https://orcid.org/0000-0002-8180-0311"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Svetlana Selivanova","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5035858448","display_name":"Victor Selivanov","orcid":"https://orcid.org/0000-0003-4316-0859"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Victor Selivanov","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":0.0,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.00215517,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"15","issue":null,"first_page":"1337","last_page":"1364"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9979000091552734,"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"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9979000091552734,"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/T13234","display_name":"advanced mathematical theories","score":0.9904000163078308,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9775000214576721,"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/computability","display_name":"Computability","score":0.80828458070755},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.7292285561561584},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5774394869804382},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5552769899368286},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.5383528470993042},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5377194285392761},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.428308367729187},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.41604459285736084},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3845897912979126},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2120566964149475},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11515825986862183}],"concepts":[{"id":"https://openalex.org/C152062344","wikidata":"https://www.wikidata.org/wiki/Q818888","display_name":"Computability","level":2,"score":0.80828458070755},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.7292285561561584},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5774394869804382},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5552769899368286},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.5383528470993042},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5377194285392761},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.428308367729187},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41604459285736084},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3845897912979126},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2120566964149475},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11515825986862183},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/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}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:zenodo.org:7000767","is_oa":true,"landing_page_url":"https://zenodo.org/record/7000767","pdf_url":"https://zenodo.org/record/7000767","source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"JUCS - Journal of Universal Computer Science 15((6)) 1337-1364","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.514.7854","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.514.7854","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.jucs.org/jucs_15_6/computing_the_solution_operators/jucs_15_06_1337_1364_selivanova.pdf","raw_type":"text"},{"id":"doi:10.3217/jucs-015-06-1337","is_oa":true,"landing_page_url":"https://doi.org/10.3217/jucs-015-06-1337","pdf_url":null,"source":{"id":"https://openalex.org/S4306400660","display_name":"TUGraz OPEN Library (Graz University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4092182","host_organization_name":"Graz University of Technology","host_organization_lineage":["https://openalex.org/I4092182"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"DataPaper"},{"id":"mag:2114083186","is_oa":false,"landing_page_url":"http://www.jucs.org/jucs_15_6/computing_the_solution_operators/jucs_15_06_1337_1364_selivanova.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S58563349","display_name":"JUCS - Journal of Universal Computer Science","issn_l":"0948-695X","issn":["0948-695X","0948-6968"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317875","host_organization_name":"Verlag der Technischen Universit\u00e4t Graz","host_organization_lineage":["https://openalex.org/P4310317875"],"host_organization_lineage_names":["Verlag der Technischen Universit\u00e4t Graz"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"JUCS - Journal of Universal Computer Science","raw_type":null}],"best_oa_location":{"id":"pmh:oai:zenodo.org:7000767","is_oa":true,"landing_page_url":"https://zenodo.org/record/7000767","pdf_url":"https://zenodo.org/record/7000767","source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"JUCS - Journal of Universal Computer Science 15((6)) 1337-1364","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7465113912","display_name":null,"funder_award_id":"07-01-00543a","funder_id":"https://openalex.org/F4320321079","funder_display_name":"Russian Foundation for Basic Research"}],"funders":[{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2114083186.pdf","grobid_xml":"https://content.openalex.org/works/W2114083186.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W586094368","https://openalex.org/W1497475168","https://openalex.org/W1545819195","https://openalex.org/W1639168386","https://openalex.org/W1974442108","https://openalex.org/W2010872619","https://openalex.org/W2020117182","https://openalex.org/W2022337355","https://openalex.org/W2023572360","https://openalex.org/W2043581458","https://openalex.org/W2059334683","https://openalex.org/W2498624864","https://openalex.org/W2569481888","https://openalex.org/W2573399270","https://openalex.org/W2591181672","https://openalex.org/W2611511037","https://openalex.org/W2911409939","https://openalex.org/W3021722416"],"related_works":["https://openalex.org/W2962812521","https://openalex.org/W2090610393","https://openalex.org/W2093089508","https://openalex.org/W2146999495","https://openalex.org/W1970825492","https://openalex.org/W3028756726","https://openalex.org/W2962794359","https://openalex.org/W975732985","https://openalex.org/W133514736","https://openalex.org/W2416456274","https://openalex.org/W2050653867","https://openalex.org/W592460914","https://openalex.org/W1968707939","https://openalex.org/W2010260339","https://openalex.org/W2341753070","https://openalex.org/W2390825832","https://openalex.org/W1981655219","https://openalex.org/W1976209968","https://openalex.org/W3118455303","https://openalex.org/W1483884985"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,13,37,45,75,89,95],"computability":[3,43],"properties":[4],"of":[5,9,33,44,92,94],"symmetric":[6],"hyperbolic":[7],"systems":[8,19],"PDE":[10],",":[11],"with":[12],"initial":[14,62],"condition":[15],"=":[16,84],"\u03c6(x1,...,xm).":[17],"Such":[18],"first":[20],"considered":[21],"by":[22],"K.O.":[23],"Friedrichs":[24],"can":[25],"be":[26],"used":[27],"to":[28,74],"describe":[29],"a":[30],"wide":[31],"variety":[32],"physical":[34],"processes.":[35],"Using":[36],"difference":[38],"equations":[39],"approach,":[40],"we":[41],"prove":[42],"operator":[46],"that":[47],"sends":[48],"(for":[49],"any":[50,61],"fixed":[51],"computable":[52],"matrices":[53],"A,":[54],"B1,":[55],"...,":[56],"Bm":[57],"satisfying":[58],"certain":[59,69],"conditions)":[60],"function":[63],"\u03c6":[64],"\u2208":[65,79],"Cp+1(Q,":[66],"\u211dn)":[67],"(satisfying":[68],"conditions),":[70],"p":[71],"\u2265":[72],"2,":[73],"unique":[76],"solution":[77],"u":[78],"Cp(H,":[80],"\u211dn),":[81],"where":[82],"Q":[83],"[0,1]m":[85],"and":[86],"H":[87],"is":[88],"nonempty":[90],"domain":[91],"correctness":[93],"system.":[96]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-30T07:30:35.949966","created_date":"2025-10-10T00:00:00"}