{"id":"https://openalex.org/W4362581883","doi":"https://doi.org/10.1137/22m1484109","title":"Mass-, Energy-, and Momentum-Preserving Spectral Scheme for Klein-Gordon-Schr\u00f6dinger System on Infinite Domains","display_name":"Mass-, Energy-, and Momentum-Preserving Spectral Scheme for Klein-Gordon-Schr\u00f6dinger System on Infinite Domains","publication_year":2023,"publication_date":"2023-04-03","ids":{"openalex":"https://openalex.org/W4362581883","doi":"https://doi.org/10.1137/22m1484109"},"language":"en","primary_location":{"id":"doi:10.1137/22m1484109","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1484109","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":["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/A5103278874","display_name":"Shimin Guo","orcid":"https://orcid.org/0000-0002-6954-2647"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shimin Guo","raw_affiliation_strings":["School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China","School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070360961","display_name":"Liquan Mei","orcid":"https://orcid.org/0000-0003-3468-8803"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liquan Mei","raw_affiliation_strings":["School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China","School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082388650","display_name":"Wenjing Yan","orcid":"https://orcid.org/0000-0002-2762-4062"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenjing Yan","raw_affiliation_strings":["School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China","School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100704240","display_name":"Ying Li","orcid":"https://orcid.org/0000-0003-2103-6646"},"institutions":[{"id":"https://openalex.org/I141962983","display_name":"Shanghai University of Engineering Science","ror":"https://ror.org/0557b9y08","country_code":"CN","type":"education","lineage":["https://openalex.org/I141962983"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ying Li","raw_affiliation_strings":["School of Computer Engineering and Science, Shanghai University, Shanghai 200444, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Engineering and Science, Shanghai University, Shanghai 200444, China","institution_ids":["https://openalex.org/I141962983"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.6192,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.96041843,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"45","issue":"2","first_page":"B200","last_page":"B230"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9995999932289124,"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":0.9995999932289124,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9987000226974487,"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/T11575","display_name":"Nonlinear Photonic Systems","score":0.998199999332428,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8028103113174438},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.7193085551261902},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5052466988563538},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4988877773284912},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46917515993118286},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.4639984965324402},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.46004512906074524},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3711228370666504},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.23184818029403687},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11329838633537292},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11140292882919312},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0921783447265625}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8028103113174438},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.7193085551261902},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5052466988563538},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4988877773284912},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46917515993118286},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.4639984965324402},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.46004512906074524},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3711228370666504},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.23184818029403687},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11329838633537292},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11140292882919312},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0921783447265625}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1484109","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1484109","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15","score":0.5799999833106995}],"awards":[{"id":"https://openalex.org/G6112851292","display_name":null,"funder_award_id":"2020JQ-008","funder_id":"https://openalex.org/F4320324173","funder_display_name":"Natural Science Foundation of Shaanxi Province"},{"id":"https://openalex.org/G69488122","display_name":"\u81f4\u5bc6\u6cb9\u6c14\u85cf\u5b54\u9699\u4ecb\u8d28\u8026\u5408\u6a21\u578b\u7684\u9ad8\u6548\u7b97\u6cd5\u4e0e\u53cd\u6f14\u65b9\u6cd5\u7814\u7a76","funder_award_id":"11971377","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8194431177","display_name":null,"funder_award_id":"12171385","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324173","display_name":"Natural Science Foundation of Shaanxi Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W766931091","https://openalex.org/W1990784906","https://openalex.org/W1992361999","https://openalex.org/W2000457254","https://openalex.org/W2001819970","https://openalex.org/W2006850990","https://openalex.org/W2014795350","https://openalex.org/W2025891786","https://openalex.org/W2037054409","https://openalex.org/W2073777570","https://openalex.org/W2078959912","https://openalex.org/W2126355995","https://openalex.org/W2141790616","https://openalex.org/W2299302975","https://openalex.org/W2314914323","https://openalex.org/W2552236073","https://openalex.org/W2587913626","https://openalex.org/W2755519002","https://openalex.org/W2893622182","https://openalex.org/W2898683060","https://openalex.org/W2926294467","https://openalex.org/W2951648551","https://openalex.org/W2954779526","https://openalex.org/W2963301529","https://openalex.org/W2964580220","https://openalex.org/W2965650504","https://openalex.org/W2978317563","https://openalex.org/W2990313723","https://openalex.org/W2991443752","https://openalex.org/W3011053680","https://openalex.org/W3017667019","https://openalex.org/W3024213355","https://openalex.org/W3080387401","https://openalex.org/W3087439622","https://openalex.org/W3136206262","https://openalex.org/W3157130641","https://openalex.org/W3171417514","https://openalex.org/W3205863231","https://openalex.org/W3216444104","https://openalex.org/W4213341453","https://openalex.org/W4214893878","https://openalex.org/W4223956584","https://openalex.org/W4232315234","https://openalex.org/W4241322326","https://openalex.org/W4253937035"],"related_works":["https://openalex.org/W2094862772","https://openalex.org/W4388397561","https://openalex.org/W4382766439","https://openalex.org/W2595463258","https://openalex.org/W2380080472","https://openalex.org/W2765737651","https://openalex.org/W4287661942","https://openalex.org/W2476202684","https://openalex.org/W1672339080","https://openalex.org/W2296698021"],"abstract_inverted_index":{"Abstract.":[0],"For":[1],"the":[2,30,35,55,60,62,65,68,83,96,101,112,118,123,128,132,167,171,175,199,209,215,219,226],"nonlinear":[3,227],"conservative":[4],"system,":[5],"how":[6],"to":[7,12,28,50,94,104,142,207],"design":[8],"an":[9],"efficient":[10],"scheme":[11,130,182],"preserve":[13,105,184],"as":[14,16,73],"manyinvariants":[15],"possible":[17],"is":[18,27],"a":[19,151],"challenging":[20],"task.":[21],"The":[22],"aim":[23],"of":[24,54,100,153,170,198,214,221,229],"this":[25],"paper":[26],"construct":[29,95],"finite":[31],"difference/spectral":[32],"method":[33,121,173],"for":[34,122,131,232],"Klein\u2013Gordon\u2013Schr\u00f6dinger":[36],"(KGS)":[37],"system":[38,103,234],"on":[39],"infinite":[40],"domains":[41],"[Formula:":[42,74,185,194],"see":[43,46,75,186,195],"text]":[44,76,187,196],"([Formula:":[45],"text],":[47],"and":[48,64,70,90,126,150,193,211],"3)":[49],"conserve":[51],"three":[52],"kinds":[53],"most":[56],"important":[57],"invariants,":[58],"namely,":[59],"mass,":[61,191],"energy,":[63,192],"momentum.":[66],"Regarding":[67],"mass-":[69],"momentum-conservation":[71],"laws":[72],"globally":[77],"physical":[78],"constraints,":[79],"we":[80,116,139,224],"elaborately":[81],"combine":[82],"exponential":[84],"scalar":[85],"auxiliary":[86],"variable":[87],"(ESAV)":[88],"approach":[89,93],"Lagrange":[91],"multiplier":[92,98,114],"ESAV/Lagrange":[97,113],"reformulation":[99],"KGS":[102,200,233],"its":[106],"original":[107],"energy-conservation":[108],"law.":[109],"When":[110],"solving":[111],"reformulation,":[115],"employ":[117],"Hermite\u2013Galerkin":[119],"spectral":[120],"spatial":[124],"approximation":[125],"apply":[127],"Crank\u2013Nicolson":[129],"temporal":[133],"discretization.":[134],"At":[135],"each":[136],"time":[137],"level,":[138,177],"only":[140],"need":[141],"solve":[143],"linearly":[144],"algebraic":[145,155],"systems":[146],"with":[147],"constant":[148],"coefficients":[149],"set":[152],"quadratic":[154],"equations":[156],"which":[157,178],"can":[158,183],"be":[159],"efficiently":[160],"solved":[161],"by":[162],"Newton":[163],"iteration.":[164],"We":[165],"establish":[166],"conservation":[168,212],"properties":[169,213],"proposed":[172,216],"at":[174],"fullydiscrete":[176],"indicates":[179],"that":[180],"our":[181,222],"conserved":[188],"quantities":[189],"including":[190],"momentums":[197],"system.":[201],"Numerical":[202],"experiments":[203],"are":[204],"carried":[205],"out":[206],"demonstrate":[208],"accuracy":[210],"scheme.":[217],"As":[218],"applications":[220],"scheme,":[223],"simulate":[225],"interactions":[228],"vector":[230],"solitons":[231],"in":[235],"2":[236],"dimensional/3":[237],"dimensional":[238],"cases.":[239]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1}],"updated_date":"2026-08-22T07:34:49.880490","created_date":"2025-10-10T00:00:00"}
