{"id":"https://openalex.org/W272685936","doi":"https://doi.org/10.1007/bf02320198","title":"An asymptotic expansion of the global discretization error of difference schemes for numerically solving a quasilinear parabolic system of differential equations","display_name":"An asymptotic expansion of the global discretization error of difference schemes for numerically solving a quasilinear parabolic system of differential equations","publication_year":1992,"publication_date":"1992-09-01","ids":{"openalex":"https://openalex.org/W272685936","doi":"https://doi.org/10.1007/bf02320198","mag":"272685936"},"language":"en","primary_location":{"id":"doi:10.1007/bf02320198","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02320198","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"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/A5028992279","display_name":"Melanie Meister","orcid":null},"institutions":[{"id":"https://openalex.org/I107257983","display_name":"Darmstadt University of Applied Sciences","ror":"https://ror.org/047wbd030","country_code":"DE","type":"education","lineage":["https://openalex.org/I107257983"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"M. Meister","raw_affiliation_strings":["Fachbereich Mathematik, TH Darmstadt, Schlo\u00dfgartenstra\u00dfe 7, D-W-6100, Darmstadt, Federal Republic of Germany","Fachbereich Mathematik, TH Darmstadt, Darmstadt, Federal Republic of Germany"],"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik, TH Darmstadt, Schlo\u00dfgartenstra\u00dfe 7, D-W-6100, Darmstadt, Federal Republic of Germany","institution_ids":["https://openalex.org/I107257983"]},{"raw_affiliation_string":"Fachbereich Mathematik, TH Darmstadt, Darmstadt, Federal Republic of Germany","institution_ids":["https://openalex.org/I107257983"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5028992279"],"corresponding_institution_ids":["https://openalex.org/I107257983"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02386998,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"47","issue":"3-4","first_page":"295","last_page":"308"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9976000189781189,"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":0.9976000189781189,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9921000003814697,"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":0.9804999828338623,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.841925323009491},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.83394455909729},{"id":"https://openalex.org/keywords/richardson-extrapolation","display_name":"Richardson extrapolation","score":0.8122671246528625},{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.7335271835327148},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5767500996589661},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5249623656272888},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.5153416991233826},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4942820072174072},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.48914220929145813},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4567367732524872},{"id":"https://openalex.org/keywords/asymptotic-expansion","display_name":"Asymptotic expansion","score":0.4198368191719055},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4184451103210449},{"id":"https://openalex.org/keywords/discretization-error","display_name":"Discretization error","score":0.4162999391555786},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4119871258735657},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3836936354637146},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12049207091331482},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06463602185249329}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.841925323009491},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.83394455909729},{"id":"https://openalex.org/C102893441","wikidata":"https://www.wikidata.org/wiki/Q1063089","display_name":"Richardson extrapolation","level":3,"score":0.8122671246528625},{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.7335271835327148},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5767500996589661},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5249623656272888},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.5153416991233826},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4942820072174072},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.48914220929145813},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4567367732524872},{"id":"https://openalex.org/C11683690","wikidata":"https://www.wikidata.org/wiki/Q752726","display_name":"Asymptotic expansion","level":2,"score":0.4198368191719055},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4184451103210449},{"id":"https://openalex.org/C126148662","wikidata":"https://www.wikidata.org/wiki/Q3890355","display_name":"Discretization error","level":3,"score":0.4162999391555786},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4119871258735657},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3836936354637146},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12049207091331482},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06463602185249329},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02320198","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02320198","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5699999928474426,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W212594717","https://openalex.org/W604736347","https://openalex.org/W1483453680","https://openalex.org/W1528042669","https://openalex.org/W1555459452","https://openalex.org/W1591593323","https://openalex.org/W1602967628","https://openalex.org/W1965670266","https://openalex.org/W1979146918","https://openalex.org/W2000830930","https://openalex.org/W2002729176","https://openalex.org/W2055727536","https://openalex.org/W2059789058","https://openalex.org/W2090963365","https://openalex.org/W2326565381","https://openalex.org/W2334095483","https://openalex.org/W2369386221","https://openalex.org/W2510264586","https://openalex.org/W2565432921","https://openalex.org/W2730193802","https://openalex.org/W4255098096","https://openalex.org/W4301905083"],"related_works":["https://openalex.org/W4376624380","https://openalex.org/W2124111076","https://openalex.org/W2037113473","https://openalex.org/W2561175158","https://openalex.org/W2325979131","https://openalex.org/W2412112397","https://openalex.org/W2050157219","https://openalex.org/W2162413529","https://openalex.org/W1998311342","https://openalex.org/W272685936"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
