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Anal."],"published-print":{"date-parts":[[2024,8,31]]},"abstract":"<jats:p>Abstract.<\/jats:p>\n                  <jats:p>This paper performs a stability analysis of a class of moment closure systems derived with an extended quadrature method of moments (EQMOM) for the one-dimensional Bhatnagar\u2013Gross\u2013Krook equation. The class is characterized with a kernel function. A sufficient condition on the kernel is identified for the EQMOM-derived moment systems to be strictly hyperbolic. We also investigate the realizability of the moment method. Moreover, sufficient and necessary conditions are established for the two-node systems to be well-defined and strictly hyperbolic and to preserve the dissipation property of the kinetic equation.<\/jats:p>","DOI":"10.1137\/23m157911x","type":"journal-article","created":{"date-parts":[[2024,7,2]],"date-time":"2024-07-02T04:01:46Z","timestamp":1719892906000},"page":"4687-4711","source":"Crossref","is-referenced-by-count":3,"title":["Stability Analysis of an Extended Quadrature Method of Moments for Kinetic Equations"],"prefix":"10.1137","volume":"56","author":[{"given":"Ruixi","family":"Zhang","sequence":"first","affiliation":[{"name":"Department of Energy and Power Engineering, Tsinghua University, Beijing 100084, China."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2770-1352","authenticated-orcid":true,"given":"Qian","family":"Huang","sequence":"additional","affiliation":[{"name":"Corresponding author.\u00a0Department of Energy and Power Engineering, Tsinghua University, Beijing 100084, China."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4440-128X","authenticated-orcid":true,"given":"Wen-An","family":"Yong","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China, and Beijing Institute of Mathematical Sciences and Applications, Beijing 101408, China."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2024,7,2]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.3934\/krm.2016.9.237"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRev.94.511"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.21472"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1137\/16M109209X"},{"key":"ref5","unstructured":"C. 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