{"id":"https://openalex.org/W1560514343","doi":"https://doi.org/10.1007/3-540-60114-7_34","title":"On the determination of formal solutions of a system of partial differential equations","display_name":"On the determination of formal solutions of a system of partial differential equations","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W1560514343","doi":"https://doi.org/10.1007/3-540-60114-7_34","mag":"1560514343"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-60114-7_34","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-60114-7_34","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5035157205","display_name":"Jirung Albert Shih","orcid":null},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]},{"id":"https://openalex.org/I4210119349","display_name":"Karlsruhe University of Education","ror":"https://ror.org/01t1kq612","country_code":"DE","type":"education","lineage":["https://openalex.org/I4210119349"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Jirung Albert Shih","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr informatik, Institut f\u00fcr Algorithmen und Kognitive Systeme, Universit\u00e4t Karlsruhe, Am Fasanengarten 5, Postfach 6980, D-76128, Karlsruhe","Universit\u00e4t Karlsruhe,"],"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr informatik, Institut f\u00fcr Algorithmen und Kognitive Systeme, Universit\u00e4t Karlsruhe, Am Fasanengarten 5, Postfach 6980, D-76128, Karlsruhe","institution_ids":["https://openalex.org/I102335020"]},{"raw_affiliation_string":"Universit\u00e4t Karlsruhe,","institution_ids":["https://openalex.org/I4210119349"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5035157205"],"corresponding_institution_ids":["https://openalex.org/I102335020","https://openalex.org/I4210119349"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.7509,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.842827,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"436","last_page":"447"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9857000112533569,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5615606904029846},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.546261191368103},{"id":"https://openalex.org/keywords/cauchy-problem","display_name":"Cauchy problem","score":0.5147655010223389},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.5027785301208496},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.49447154998779297},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.4547410011291504},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4195362329483032},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40227288007736206},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3578626811504364},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27788883447647095}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5615606904029846},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.546261191368103},{"id":"https://openalex.org/C153635880","wikidata":"https://www.wikidata.org/wiki/Q1412436","display_name":"Cauchy problem","level":3,"score":0.5147655010223389},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.5027785301208496},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.49447154998779297},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.4547410011291504},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4195362329483032},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40227288007736206},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3578626811504364},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27788883447647095},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-60114-7_34","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-60114-7_34","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W118812536","https://openalex.org/W188280741","https://openalex.org/W434331358","https://openalex.org/W569283484","https://openalex.org/W656998137","https://openalex.org/W1491981483","https://openalex.org/W1560514343","https://openalex.org/W1573927207","https://openalex.org/W1602793244","https://openalex.org/W1984948404","https://openalex.org/W2091069337","https://openalex.org/W2094496301","https://openalex.org/W2798622764","https://openalex.org/W3140998092","https://openalex.org/W4214719771","https://openalex.org/W4229672964","https://openalex.org/W4313445666"],"related_works":["https://openalex.org/W2078366360","https://openalex.org/W2400581667","https://openalex.org/W2049761058","https://openalex.org/W4213342640","https://openalex.org/W2394174381","https://openalex.org/W2020390959","https://openalex.org/W2345019225","https://openalex.org/W2503576560","https://openalex.org/W2144182429","https://openalex.org/W2892071505"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
