{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,26]],"date-time":"2025-09-26T00:15:06Z","timestamp":1758845706349,"version":"3.44.0"},"reference-count":9,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2025,9,11]],"date-time":"2025-09-11T00:00:00Z","timestamp":1757548800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,9,11]],"date-time":"2025-09-11T00:00:00Z","timestamp":1757548800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12171466","92470119"],"award-info":[{"award-number":["12171466","92470119"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2025,10]]},"DOI":"10.1007\/s10915-025-03052-3","type":"journal-article","created":{"date-parts":[[2025,9,11]],"date-time":"2025-09-11T08:53:11Z","timestamp":1757580791000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["The Unisolvence of Lagrange Interpolation with Symmetric Interpolation Space and Nodes in High Dimension"],"prefix":"10.1007","volume":"105","author":[{"given":"Yulin","family":"Xie","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3301-3487","authenticated-orcid":false,"given":"Yifa","family":"Tang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,9,11]]},"reference":[{"key":"3052_CR1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-68349-0","volume-title":"Interpolation Processes: Basic Theory and Applications","author":"G Mastroianni","year":"2008","unstructured":"Mastroianni, G., Milovanovi\u0107, G.V.: Interpolation Processes: Basic Theory and Applications, vol. 194. Springer, Berlin (2008)"},{"key":"3052_CR2","doi-asserted-by":"publisher","first-page":"377","DOI":"10.1023\/A:1018981505752","volume":"12","author":"M Gasca","year":"2000","unstructured":"Gasca, M., Sauer, T.: Polynomial interpolation in several variables. Adv. Comput. Math. 12, 377\u2013410 (2000)","journal-title":"Adv. Comput. Math."},{"issue":"4","key":"3052_CR3","doi-asserted-by":"publisher","first-page":"735","DOI":"10.1137\/0714050","volume":"14","author":"KC Chung","year":"1977","unstructured":"Chung, K.C., Yao, T.H.: On lattices admitting unique lagrange interpolations. SIAM J. Numer. Anal. 14(4), 735\u2013743 (1977)","journal-title":"SIAM J. Numer. Anal."},{"issue":"2","key":"3052_CR4","doi-asserted-by":"publisher","first-page":"331","DOI":"10.4208\/nmtma.2017.s07","volume":"10","author":"T Cui","year":"2017","unstructured":"Cui, T., Leng, W., Lin, D., Ma, S., Zhang, L.: High order mass-lumping finite elements on simplexes. Num. Math. Theory, Methods Appl. 10(2), 331\u2013350 (2017)","journal-title":"Num. Math. Theory, Methods Appl."},{"issue":"3","key":"3052_CR5","doi-asserted-by":"publisher","first-page":"435","DOI":"10.1137\/0709039","volume":"9","author":"R Nicolaides","year":"1972","unstructured":"Nicolaides, R.: On a class of finite elements generated by lagrange interpolation. SIAM J. Numer. Anal. 9(3), 435\u2013445 (1972)","journal-title":"SIAM J. Numer. Anal."},{"issue":"2","key":"3052_CR6","doi-asserted-by":"publisher","first-page":"50","DOI":"10.1007\/s10915-022-01904-w","volume":"92","author":"AL Marchildon","year":"2022","unstructured":"Marchildon, A.L., Zingg, D.W.: Unisolvency for polynomial interpolation in simplices with symmetrical nodal distributions. J. Sci. Comput. 92(2), 50 (2022)","journal-title":"J. Sci. Comput."},{"issue":"2","key":"3052_CR7","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1007\/s10915-023-02161-1","volume":"95","author":"WA Mulder","year":"2023","unstructured":"Mulder, W.A.: Unisolvence of symmetric node patterns for polynomial spaces on the simplex. J. Sci. Comput. 95(2), 45 (2023)","journal-title":"J. Sci. Comput."},{"key":"3052_CR8","volume-title":"An Introduction to the Theory of Groups","author":"JJ Rotman","year":"2012","unstructured":"Rotman, J.J.: An Introduction to the Theory of Groups, vol. 148. Springer, New York (2012)"},{"key":"3052_CR9","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4684-9458-7","volume-title":"Linear Representations of Finite Groups","author":"J-P Serre","year":"1977","unstructured":"Serre, J.-P., et al.: Linear Representations of Finite Groups, vol. 42. Springer, New York (1977)"}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-025-03052-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10915-025-03052-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-025-03052-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,9,25]],"date-time":"2025-09-25T10:23:25Z","timestamp":1758795805000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10915-025-03052-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,9,11]]},"references-count":9,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2025,10]]}},"alternative-id":["3052"],"URL":"https:\/\/doi.org\/10.1007\/s10915-025-03052-3","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"type":"print","value":"0885-7474"},{"type":"electronic","value":"1573-7691"}],"subject":[],"published":{"date-parts":[[2025,9,11]]},"assertion":[{"value":"25 May 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 August 2025","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 September 2025","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 September 2025","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no Conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"24"}}