{"id":"https://openalex.org/W2801879390","doi":"https://doi.org/10.1007/s10915-018-0716-8","title":"High Spatial Order Energy Stable FDTD Methods for Maxwell\u2019s Equations in Nonlinear Optical Media in One Dimension","display_name":"High Spatial Order Energy Stable FDTD Methods for Maxwell\u2019s Equations in Nonlinear Optical Media in One Dimension","publication_year":2018,"publication_date":"2018-04-24","ids":{"openalex":"https://openalex.org/W2801879390","doi":"https://doi.org/10.1007/s10915-018-0716-8","mag":"2801879390"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-018-0716-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-018-0716-8","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of 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/A5018487878","display_name":"Vrushali A. Bokil","orcid":"https://orcid.org/0000-0001-5820-7184"},"institutions":[{"id":"https://openalex.org/I131249849","display_name":"Oregon State University","ror":"https://ror.org/00ysfqy60","country_code":"US","type":"education","lineage":["https://openalex.org/I131249849"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vrushali A. Bokil","raw_affiliation_strings":["Department of Mathematics, Oregon State University, Corvallis, OR, 97331, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Oregon State University, Corvallis, OR, 97331, USA","institution_ids":["https://openalex.org/I131249849"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002089116","display_name":"Yingda Cheng","orcid":"https://orcid.org/0000-0003-3229-2979"},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yingda Cheng","raw_affiliation_strings":["Department of Mathematics, Michigan State University, East Lansing, MI, 48824, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Michigan State University, East Lansing, MI, 48824, USA","institution_ids":["https://openalex.org/I87216513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101495994","display_name":"Yan Jiang","orcid":"https://orcid.org/0000-0003-3551-9657"},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yan Jiang","raw_affiliation_strings":["Department of Mathematics, Michigan State University, East Lansing, MI, 48824, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Michigan State University, East Lansing, MI, 48824, USA","institution_ids":["https://openalex.org/I87216513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101926587","display_name":"Fengyan Li","orcid":"https://orcid.org/0000-0002-2386-7702"},"institutions":[{"id":"https://openalex.org/I165799507","display_name":"Rensselaer Polytechnic Institute","ror":"https://ror.org/01rtyzb94","country_code":"US","type":"education","lineage":["https://openalex.org/I165799507"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fengyan Li","raw_affiliation_strings":["Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY, 12180, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY, 12180, USA","institution_ids":["https://openalex.org/I165799507"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076667582","display_name":"Puttha Sakkaplangkul","orcid":"https://orcid.org/0000-0001-6299-6980"},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Puttha Sakkaplangkul","raw_affiliation_strings":["Department of Mathematics, Michigan State University, East Lansing, MI, 48824, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Michigan State University, East Lansing, MI, 48824, USA","institution_ids":["https://openalex.org/I87216513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5076667582"],"corresponding_institution_ids":["https://openalex.org/I87216513"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.6913,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.68837697,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"77","issue":"1","first_page":"330","last_page":"371"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10262","display_name":"Microwave Engineering and Waveguides","score":0.9886999726295471,"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"}},{"id":"https://openalex.org/T11175","display_name":"Gyrotron and Vacuum Electronics Research","score":0.9864000082015991,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/finite-difference-time-domain-method","display_name":"Finite-difference time-domain method","score":0.8512861728668213},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6945906281471252},{"id":"https://openalex.org/keywords/maxwells-equations","display_name":"Maxwell's equations","score":0.6689955592155457},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6243346929550171},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6193872094154358},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.5828238129615784},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5364741683006287},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.4892871081829071},{"id":"https://openalex.org/keywords/electromagnetic-field-solver","display_name":"Electromagnetic field solver","score":0.4513201415538788},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3865495026111603},{"id":"https://openalex.org/keywords/electromagnetic-field","display_name":"Electromagnetic field","score":0.32754772901535034},{"id":"https://openalex.org/keywords/inhomogeneous-electromagnetic-wave-equation","display_name":"Inhomogeneous electromagnetic wave equation","score":0.3053339421749115},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.2687522768974304},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22226843237876892},{"id":"https://openalex.org/keywords/optical-field","display_name":"Optical field","score":0.12174171209335327},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.108470618724823}],"concepts":[{"id":"https://openalex.org/C184880428","wikidata":"https://www.wikidata.org/wiki/Q1417308","display_name":"Finite-difference time-domain method","level":2,"score":0.8512861728668213},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6945906281471252},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.6689955592155457},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6243346929550171},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6193872094154358},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.5828238129615784},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5364741683006287},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.4892871081829071},{"id":"https://openalex.org/C137009469","wikidata":"https://www.wikidata.org/wiki/Q5358083","display_name":"Electromagnetic field solver","level":5,"score":0.4513201415538788},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3865495026111603},{"id":"https://openalex.org/C28843909","wikidata":"https://www.wikidata.org/wiki/Q177625","display_name":"Electromagnetic field","level":2,"score":0.32754772901535034},{"id":"https://openalex.org/C76969448","wikidata":"https://www.wikidata.org/wiki/Q6033855","display_name":"Inhomogeneous electromagnetic wave equation","level":4,"score":0.3053339421749115},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2687522768974304},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22226843237876892},{"id":"https://openalex.org/C154452299","wikidata":"https://www.wikidata.org/wiki/Q7098853","display_name":"Optical field","level":3,"score":0.12174171209335327},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.108470618724823}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-018-0716-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-018-0716-8","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.8199999928474426,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G5126879307","display_name":null,"funder_award_id":"DMS-1720023","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5950056582","display_name":null,"funder_award_id":"DMS-1453661","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6562479358","display_name":null,"funder_award_id":"DMS-1719942","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8534140806","display_name":null,"funder_award_id":"DMS-1720116","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W11894346","https://openalex.org/W145066576","https://openalex.org/W591166379","https://openalex.org/W1510129064","https://openalex.org/W1510686390","https://openalex.org/W1570895503","https://openalex.org/W1968675949","https://openalex.org/W1969583825","https://openalex.org/W1971880475","https://openalex.org/W1974089470","https://openalex.org/W1976055054","https://openalex.org/W1981648779","https://openalex.org/W2006735909","https://openalex.org/W2013029478","https://openalex.org/W2015510320","https://openalex.org/W2016261857","https://openalex.org/W2022989981","https://openalex.org/W2031165732","https://openalex.org/W2031518244","https://openalex.org/W2042265695","https://openalex.org/W2043020316","https://openalex.org/W2051060906","https://openalex.org/W2057159272","https://openalex.org/W2061364127","https://openalex.org/W2062735844","https://openalex.org/W2075895283","https://openalex.org/W2084216718","https://openalex.org/W2084948735","https://openalex.org/W2086640261","https://openalex.org/W2090843874","https://openalex.org/W2098756354","https://openalex.org/W2099321237","https://openalex.org/W2110036479","https://openalex.org/W2120329370","https://openalex.org/W2127272874","https://openalex.org/W2133547209","https://openalex.org/W2142063750","https://openalex.org/W2142461402","https://openalex.org/W2144493110","https://openalex.org/W2144930181","https://openalex.org/W2149882600","https://openalex.org/W2150092954","https://openalex.org/W2155061658","https://openalex.org/W2158501196","https://openalex.org/W2159094357","https://openalex.org/W2163428960","https://openalex.org/W2164947598","https://openalex.org/W2170035541","https://openalex.org/W2183568042","https://openalex.org/W2299500458","https://openalex.org/W2317208281","https://openalex.org/W2496055928","https://openalex.org/W2606994156","https://openalex.org/W2963132015","https://openalex.org/W3126656619","https://openalex.org/W4243301790"],"related_works":["https://openalex.org/W1544640938","https://openalex.org/W2139015677","https://openalex.org/W2109205712","https://openalex.org/W3026729890","https://openalex.org/W2800478078","https://openalex.org/W3014373565","https://openalex.org/W1614790738","https://openalex.org/W2995708163","https://openalex.org/W2126613353","https://openalex.org/W3182942759"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}