{"id":"https://openalex.org/W1534894308","doi":"https://doi.org/10.1137/15m1014322","title":"MultiSymplectic Discretization of Wave Map Equations","display_name":"MultiSymplectic Discretization of Wave Map Equations","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W1534894308","doi":"https://doi.org/10.1137/15m1014322","mag":"1534894308"},"language":"en","primary_location":{"id":"doi:10.1137/15m1014322","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1014322","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1411.6516","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047697581","display_name":"David Cohen","orcid":"https://orcid.org/0000-0001-6490-1957"},"institutions":[{"id":"https://openalex.org/I90267481","display_name":"Ume\u00e5 University","ror":"https://ror.org/05kb8h459","country_code":"SE","type":"education","lineage":["https://openalex.org/I90267481"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"David Cohen","raw_affiliation_strings":["Umea University"],"affiliations":[{"raw_affiliation_string":"Umea University","institution_ids":["https://openalex.org/I90267481"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010971554","display_name":"Olivier Verdier","orcid":"https://orcid.org/0000-0003-3699-6244"},"institutions":[{"id":"https://openalex.org/I179863766","display_name":"Western Norway University of Applied Sciences","ror":"https://ror.org/05phns765","country_code":"NO","type":"education","lineage":["https://openalex.org/I179863766"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Olivier Verdier","raw_affiliation_strings":["Western Norway University of Applied Sciences"],"affiliations":[{"raw_affiliation_string":"Western Norway University of Applied Sciences","institution_ids":["https://openalex.org/I179863766"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047697581"],"corresponding_institution_ids":["https://openalex.org/I90267481"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.00181745,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"38","issue":"2","first_page":"A953","last_page":"A972"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9997000098228455,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9997000098228455,"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":0.9991999864578247,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/mathematics","display_name":"Mathematics","score":0.8124948740005493},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7097584009170532},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5096063613891602},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.48335856199264526},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4820464551448822}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8124948740005493},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7097584009170532},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5096063613891602},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.48335856199264526},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4820464551448822}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/15m1014322","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1014322","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1411.6516","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1411.6516","pdf_url":"https://arxiv.org/pdf/1411.6516","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:research.chalmers.se:516788","is_oa":false,"landing_page_url":"https://research.chalmers.se/en/publication/516788","pdf_url":null,"source":{"id":"https://openalex.org/S4306402469","display_name":"Chalmers Research (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1411.6516","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1411.6516","pdf_url":"https://arxiv.org/pdf/1411.6516","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land","score":0.7200000286102295}],"awards":[{"id":"https://openalex.org/G5956553722","display_name":null,"funder_award_id":"SMK-1238","funder_id":"https://openalex.org/F4320324135","funder_display_name":"Kempestiftelserna"}],"funders":[{"id":"https://openalex.org/F4320324135","display_name":"Kempestiftelserna","ror":"https://ror.org/05cszw148"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1595843857","https://openalex.org/W1972620114","https://openalex.org/W1974705983","https://openalex.org/W1974802937","https://openalex.org/W1975034694","https://openalex.org/W1984617813","https://openalex.org/W1998759511","https://openalex.org/W2032475601","https://openalex.org/W2034379470","https://openalex.org/W2039078443","https://openalex.org/W2040268808","https://openalex.org/W2044375286","https://openalex.org/W2051483896","https://openalex.org/W2054065582","https://openalex.org/W2056147695","https://openalex.org/W2057064385","https://openalex.org/W2088258063","https://openalex.org/W2092472326","https://openalex.org/W2093367606","https://openalex.org/W2099065388","https://openalex.org/W2099850761","https://openalex.org/W2111027538","https://openalex.org/W2112405917","https://openalex.org/W2122779532","https://openalex.org/W2125916174","https://openalex.org/W2146267354","https://openalex.org/W2147500254","https://openalex.org/W2157159287","https://openalex.org/W2290022587","https://openalex.org/W2347055407","https://openalex.org/W2905795197","https://openalex.org/W2963781938","https://openalex.org/W2963976046","https://openalex.org/W3100874723","https://openalex.org/W3101168096","https://openalex.org/W3101302003","https://openalex.org/W3102947608","https://openalex.org/W3103786607"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W2085754006","https://openalex.org/W1774782920","https://openalex.org/W2081786508","https://openalex.org/W4221141490","https://openalex.org/W4226186576","https://openalex.org/W1975505774","https://openalex.org/W2002089339"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,57],"new":[3,26],"multisymplectic":[4,21],"formulation":[5,27],"of":[6,32,59,75],"constrained":[7,65],"Hamiltonian":[8],"partial":[9],"differential":[10],"equations,":[11],"and":[12,52],"we":[13],"study":[14],"the":[15,33,40,50,60,76],"associated":[16],"local":[17],"conservation":[18,73],"laws.":[19],"A":[20],"discretization":[22],"based":[23],"on":[24],"this":[25,44],"is":[28,47],"exemplified":[29],"by":[30],"means":[31],"Euler":[34],"box":[35],"scheme.":[36],"When":[37],"applied":[38],"to":[39],"wave":[41],"map":[42],"equation,":[43],"numerical":[45,69,77],"scheme":[46],"explicit,":[48],"preserves":[49],"constraint,":[51],"can":[53],"be":[54],"seen":[55],"as":[56],"generalization":[58],"\\smaller":[61],"SHAKE":[62],"algorithm":[63],"for":[64],"mechanical":[66],"systems.":[67],"Furthermore,":[68],"experiments":[70],"show":[71],"excellent":[72],"properties":[74],"solutions.":[78]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-04T08:04:53.788161","created_date":"2016-06-24T00:00:00"}