{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,20]],"date-time":"2026-08-20T15:28:27Z","timestamp":1787239707961,"version":"build-2736575974"},"reference-count":0,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM Rev."],"published-print":{"date-parts":[[2023,5]]},"abstract":"<jats:p>As highlighted by Tisseur and Meerbergen in SIAM Review, 43 (2001), pp. 235--286, nonlinear eigenvalue problems arise in diverse applications such as acoustics of high-speed trains, the study of elastic materials, fluid mechanical control, and pedestrian-induced structural vibrations. In this issue's first Research Spotlights article, \u201cContour Integral Methods for Nonlinear Eigenvalue Problems: A Systems Theoretic Approach,\u201d authors Michael C. Brennan, Mark Embree, and Serkan Gugercin illuminate new algorithmic approaches for these challenging problems. The authors reimagine Loewner matrix methods and demonstrate how significant gains in accuracy can be achieved with relatively little additional computational expense over conventional approaches. The article ties together several active areas of applied mathematics. For example, the authors seek to avoid explicitly computing an inverse map in the contour integral by employing randomized sketching-like techniques. The authors' intention in making these connections is to open up for further research and refinement a broad family of algorithms for the solution of challenging nonlinear eigenvalue problems.<\/jats:p>\n                  <jats:p>Susceptible-Infectious-Recovered (SIR) and related compartmental models for disease spread have received heightened attention by a global community seeking to better query and understand epidemic dynamics. \u201cThe Role of Directionality, Heterogeneity, and Correlations in Epidemic Risk and Spread,\u201d the second Research Spotlights article, highlights key differences from treating such models via directed connections (that distinguish between risk and spread) rather than via simple undirected graph abstractions. Authors Antoine Allard, Cristopher Moore, Samuel V. Scarpino, Benjamin M. Althouse, and Laurent H\u00e9bert-Dufresne explore how the in-degree and out-degree distributions for random directed graphs jointly affect model dynamics. By using results from branching processes, this model allows one to examine characteristics such as epidemic size and the probability that a single infection generates a large-scale epidemic. The authors provide several examples to illustrate when established asymptotic theory holds and when it does not, highlighting important implicit assumptions regarding the Poisson distribution of risk as well as the independence of risk and spread.<\/jats:p>","DOI":"10.1137\/23n975685","type":"journal-article","created":{"date-parts":[[2023,5,8]],"date-time":"2023-05-08T10:05:24Z","timestamp":1683540324000},"page":"437-437","source":"Crossref","is-referenced-by-count":0,"title":["Research Spotlights"],"prefix":"10.1137","volume":"65","author":[{"given":"Stefan M.","family":"Wild","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2023,5,9]]},"container-title":["SIAM Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/23N975685","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,20]],"date-time":"2026-08-20T14:46:25Z","timestamp":1787237185000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/23N975685"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,5]]},"references-count":0,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2023,5]]}},"alternative-id":["10.1137\/23N975685"],"URL":"https:\/\/doi.org\/10.1137\/23n975685","relation":{},"ISSN":["0036-1445","1095-7200"],"issn-type":[{"value":"0036-1445","type":"print"},{"value":"1095-7200","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,5]]}}}