{"id":"https://openalex.org/W2164608625","doi":"https://doi.org/10.1007/s10208-013-9151-2","title":"Characteristics of Conservation Laws for Difference Equations","display_name":"Characteristics of Conservation Laws for Difference Equations","publication_year":2013,"publication_date":"2013-04-09","ids":{"openalex":"https://openalex.org/W2164608625","doi":"https://doi.org/10.1007/s10208-013-9151-2","mag":"2164608625"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-013-9151-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-013-9151-2","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","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/A5014988730","display_name":"Timothy J. Grant","orcid":"https://orcid.org/0000-0002-7257-296X"},"institutions":[{"id":"https://openalex.org/I1319328641","display_name":"British Antarctic Survey","ror":"https://ror.org/01rhff309","country_code":"GB","type":"government","lineage":["https://openalex.org/I1319328641","https://openalex.org/I141816643","https://openalex.org/I4210087105"]},{"id":"https://openalex.org/I28290843","display_name":"University of Surrey","ror":"https://ror.org/00ks66431","country_code":"GB","type":"education","lineage":["https://openalex.org/I28290843"]},{"id":"https://openalex.org/I4210133462","display_name":"Schlumberger (United Kingdom)","ror":"https://ror.org/03q6ms497","country_code":"GB","type":"company","lineage":["https://openalex.org/I4210092184","https://openalex.org/I4210133462"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Timothy J. Grant","raw_affiliation_strings":["British Antarctic Survey, High Cross, Madingley Road, Cambridge, CB3 0ET, UK","Department of Mathematics, University of Surrey, Guildford, GU2 7XH, UK","Schlumberger Gould Research, High Cross, Madingley Road, Cambridge, CB3 0EL, UK"],"affiliations":[{"raw_affiliation_string":"British Antarctic Survey, High Cross, Madingley Road, Cambridge, CB3 0ET, UK","institution_ids":["https://openalex.org/I1319328641"]},{"raw_affiliation_string":"Department of Mathematics, University of Surrey, Guildford, GU2 7XH, UK","institution_ids":["https://openalex.org/I28290843"]},{"raw_affiliation_string":"Schlumberger Gould Research, High Cross, Madingley Road, Cambridge, CB3 0EL, UK","institution_ids":["https://openalex.org/I4210133462"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082765872","display_name":"Peter E. Hydon","orcid":"https://orcid.org/0000-0002-3732-4813"},"institutions":[{"id":"https://openalex.org/I28290843","display_name":"University of Surrey","ror":"https://ror.org/00ks66431","country_code":"GB","type":"education","lineage":["https://openalex.org/I28290843"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Peter E. Hydon","raw_affiliation_strings":["Department of Mathematics, University of Surrey, Guildford, GU2 7XH, UK"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Surrey, Guildford, GU2 7XH, UK","institution_ids":["https://openalex.org/I28290843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5014988730"],"corresponding_institution_ids":["https://openalex.org/I1319328641","https://openalex.org/I28290843","https://openalex.org/I4210133462"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.5324,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.83913064,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"13","issue":"4","first_page":"667","last_page":"692"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9998999834060669,"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":0.9998999834060669,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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":0.9980000257492065,"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/conservation-law","display_name":"Conservation law","score":0.9175843000411987},{"id":"https://openalex.org/keywords/noethers-theorem","display_name":"Noether's theorem","score":0.9130795001983643},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8677825927734375},{"id":"https://openalex.org/keywords/converse","display_name":"Converse","score":0.7466561794281006},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5261827707290649},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4968600571155548},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.45039433240890503},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.4093206524848938},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37240156531333923},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3500778079032898},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.31409308314323425}],"concepts":[{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.9175843000411987},{"id":"https://openalex.org/C80892491","wikidata":"https://www.wikidata.org/wiki/Q578555","display_name":"Noether's theorem","level":3,"score":0.9130795001983643},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8677825927734375},{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.7466561794281006},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5261827707290649},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4968600571155548},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.45039433240890503},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.4093206524848938},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37240156531333923},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3500778079032898},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.31409308314323425},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10208-013-9151-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-013-9151-2","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:alma.44SUR_INST:11140197090002346","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4210197018","display_name":"View","issn_l":"2688-268X","issn":["2688-268X","2688-3988"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:kar.kent.ac.uk:52906","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-013-9151-2>)","pdf_url":null,"source":{"id":"https://openalex.org/S4377196264","display_name":"Kent Academic Repository (University of Kent)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I20581793","host_organization_name":"University of Kent","host_organization_lineage":["https://openalex.org/I20581793"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","score":0.699999988079071,"id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1573927207","https://openalex.org/W1584393467","https://openalex.org/W1975477498","https://openalex.org/W1975986155","https://openalex.org/W1981142189","https://openalex.org/W1986569583","https://openalex.org/W2004494789","https://openalex.org/W2025925343","https://openalex.org/W2027931139","https://openalex.org/W2034842005","https://openalex.org/W2046328248","https://openalex.org/W2062561585","https://openalex.org/W2063907161","https://openalex.org/W2063953093","https://openalex.org/W2064063658","https://openalex.org/W2075518648","https://openalex.org/W2076502016","https://openalex.org/W2079894281","https://openalex.org/W2086890598","https://openalex.org/W2150804440","https://openalex.org/W2166930845","https://openalex.org/W2185083701","https://openalex.org/W3098204133","https://openalex.org/W3098236365","https://openalex.org/W3099009066","https://openalex.org/W3099884765","https://openalex.org/W3102931835","https://openalex.org/W3103273107","https://openalex.org/W3106275102","https://openalex.org/W4292170110"],"related_works":["https://openalex.org/W2224591226","https://openalex.org/W3194395000","https://openalex.org/W4300910281","https://openalex.org/W2950347812","https://openalex.org/W2392142511","https://openalex.org/W2164608625","https://openalex.org/W2177300204","https://openalex.org/W2037799105","https://openalex.org/W2045578636","https://openalex.org/W2054772622"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}