{"id":"https://openalex.org/W1580085106","doi":"https://doi.org/10.1007/3-540-55895-0_415","title":"The time-parallel solution of parabolic partial differential equations using the frequency-filtering method","display_name":"The time-parallel solution of parabolic partial differential equations using the frequency-filtering method","publication_year":1992,"publication_date":"1992-01-01","ids":{"openalex":"https://openalex.org/W1580085106","doi":"https://doi.org/10.1007/3-540-55895-0_415","mag":"1580085106"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-55895-0_415","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-55895-0_415","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/A5063940298","display_name":"Graham Horton","orcid":"https://orcid.org/0000-0002-7757-4489"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Graham Horton","raw_affiliation_strings":["Lehrstuhl f\u00fcr Rechnerstrukturen (IMMD 3), Universit\u00e4t Erlangen-N\u00fcrnberg, Martensstr. 3, D-8520, Erlangen","\u00dcniversit\u00e4t Erlangen-N\u00fcrnberg"],"affiliations":[{"raw_affiliation_string":"Lehrstuhl f\u00fcr Rechnerstrukturen (IMMD 3), Universit\u00e4t Erlangen-N\u00fcrnberg, Martensstr. 3, D-8520, Erlangen","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"\u00dcniversit\u00e4t Erlangen-N\u00fcrnberg","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023533544","display_name":"Ralf Knirsch","orcid":null},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Ralf Knirsch","raw_affiliation_strings":["Lehrstuhl f\u00fcr Rechnerstrukturen (IMMD 3), Universit\u00e4t Erlangen-N\u00fcrnberg, Martensstr. 3, D-8520, Erlangen","\u00dcniversit\u00e4t Erlangen-N\u00fcrnberg"],"affiliations":[{"raw_affiliation_string":"Lehrstuhl f\u00fcr Rechnerstrukturen (IMMD 3), Universit\u00e4t Erlangen-N\u00fcrnberg, Martensstr. 3, D-8520, Erlangen","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"\u00dcniversit\u00e4t Erlangen-N\u00fcrnberg","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009438112","display_name":"Hermann Vollath","orcid":null},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Hermann Vollath","raw_affiliation_strings":["Lehrstuhl f\u00fcr Rechnerstrukturen (IMMD 3), Universit\u00e4t Erlangen-N\u00fcrnberg, Martensstr. 3, D-8520, Erlangen","\u00dcniversit\u00e4t Erlangen-N\u00fcrnberg"],"affiliations":[{"raw_affiliation_string":"Lehrstuhl f\u00fcr Rechnerstrukturen (IMMD 3), Universit\u00e4t Erlangen-N\u00fcrnberg, Martensstr. 3, D-8520, Erlangen","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"\u00dcniversit\u00e4t Erlangen-N\u00fcrnberg","institution_ids":["https://openalex.org/I181369854"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5063940298"],"corresponding_institution_ids":["https://openalex.org/I181369854"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.225,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"205","last_page":"216"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9704999923706055,"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":0.9704999923706055,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9132999777793884,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9120000004768372,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7667824029922485},{"id":"https://openalex.org/keywords/parallelism","display_name":"Parallelism (grammar)","score":0.6603114604949951},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6386405229568481},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6056045293807983},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5614430904388428},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49979448318481445},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.49162012338638306},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4851242005825043},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4637577533721924},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.45988520979881287},{"id":"https://openalex.org/keywords/parallel-algorithm","display_name":"Parallel algorithm","score":0.4388728141784668},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22946879267692566},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08781704306602478}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7667824029922485},{"id":"https://openalex.org/C2781172179","wikidata":"https://www.wikidata.org/wiki/Q853109","display_name":"Parallelism (grammar)","level":2,"score":0.6603114604949951},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6386405229568481},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6056045293807983},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5614430904388428},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49979448318481445},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.49162012338638306},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4851242005825043},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4637577533721924},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.45988520979881287},{"id":"https://openalex.org/C120373497","wikidata":"https://www.wikidata.org/wiki/Q1087987","display_name":"Parallel algorithm","level":2,"score":0.4388728141784668},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22946879267692566},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08781704306602478},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-55895-0_415","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-55895-0_415","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":6,"referenced_works":["https://openalex.org/W2026064960","https://openalex.org/W2042961821","https://openalex.org/W2315917612","https://openalex.org/W3046595845","https://openalex.org/W4239609295","https://openalex.org/W6699591473"],"related_works":["https://openalex.org/W2045183646","https://openalex.org/W2162409446","https://openalex.org/W2109463584","https://openalex.org/W2504075107","https://openalex.org/W2354058185","https://openalex.org/W3014500535","https://openalex.org/W2319812372","https://openalex.org/W1482096554","https://openalex.org/W2370176626","https://openalex.org/W2029287765"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
