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Book Review:; Optimal Mass Transport on Euclidean Spaces 书评:;欧几里德空间上的最优质量输运
IF 10.2 1区 数学
SIAM Review Pub Date : 2025-05-08 DOI: 10.1137/24m1637854
Leon Bungert
{"title":"Book Review:; Optimal Mass Transport on Euclidean Spaces","authors":"Leon Bungert","doi":"10.1137/24m1637854","DOIUrl":"https://doi.org/10.1137/24m1637854","url":null,"abstract":"SIAM Review, Volume 67, Issue 2, Page 408-411, May 2025. <br/> Optimal transport was originally invented by Gaspard Monge [“Mémoire sur la théorie des déblais et des remblais,” Mem. Math. Phys. Acad. Royale Sci., (1781), pp. 666–704] to model the problem of optimally mapping one distribution of mass onto another. This was later reformulated by Leonid Kantorovich as a well-posed linear program using the notion of transport plans instead of maps in [“On the translocation of masses,” Dokl. Akad. Nauk. USSR (N.S.), 37 (1942), pp. 199–201], which earned him the Nobel Memorial Prize in Economic Sciences. In the past four decades the field of optimal transport has grown far beyond its original purpose and has evolved into a driving force for applications both within mathematics and in other sciences. This book review deals with the new monograph Optimal Mass Transport on Euclidean Spaces by Francesco Maggi.","PeriodicalId":49525,"journal":{"name":"SIAM Review","volume":"228 1","pages":""},"PeriodicalIF":10.2,"publicationDate":"2025-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143920675","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Book Review:; Stochastic Integral and Differential Equations in Mathematical Modelling 书评:;数学建模中的随机积分与微分方程
IF 10.2 1区 数学
SIAM Review Pub Date : 2025-05-08 DOI: 10.1137/24m163548x
Chaman Kumar
{"title":"Book Review:; Stochastic Integral and Differential Equations in Mathematical Modelling","authors":"Chaman Kumar","doi":"10.1137/24m163548x","DOIUrl":"https://doi.org/10.1137/24m163548x","url":null,"abstract":"SIAM Review, Volume 67, Issue 2, Page 411-411, May 2025. <br/> A short discussion on stochastic calculus is given under the assumption that the fundamentals of probability theory are known to readers. Some related basic details on probability theory should have been included to make the book more self-contained. Further, analytic solutions of some stochastic differential equations (SDEs), which are used in modeling real-life events, are given. However, author should have included well-posedness under the general assumptions and then should have either discussed these SDEs as a special case or provided an explanation for the necessity of dealing with such equations separately.","PeriodicalId":49525,"journal":{"name":"SIAM Review","volume":"16 1","pages":""},"PeriodicalIF":10.2,"publicationDate":"2025-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143920676","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Uncertainty Analysis of a Simple River Quality Model Using Differential Inequalities 用微分不等式分析简单河流质量模型的不确定性
IF 10.2 1区 数学
SIAM Review Pub Date : 2025-05-08 DOI: 10.1137/23m1616406
Grace D’Agostino, Hermann J. Eberl
{"title":"Uncertainty Analysis of a Simple River Quality Model Using Differential Inequalities","authors":"Grace D’Agostino, Hermann J. Eberl","doi":"10.1137/23m1616406","DOIUrl":"https://doi.org/10.1137/23m1616406","url":null,"abstract":"SIAM Review, Volume 67, Issue 2, Page 375-398, May 2025. <br/> Abstract.We present and discuss the Streeter–Phelps equations, which were the first river quality model. If the parameters are constants, then the model in its linear formulation can be solved explicitly. This reveals, however, that depending on parameters and initial data, the model might predict negative oxygen concentrations, which marks a breakdown of the model. To address this shortcoming, we introduce a nonlinear modification which, in the case of constant parameters, we can study in the phase plane. In real-world applications, parameters are never constant and are usually known not exactly, but instead with some uncertainty. We show how we can use the solutions for the constant parameter case to obtain estimates for the unknown solutions from estimates of the model parameters, using differential inequalities.","PeriodicalId":49525,"journal":{"name":"SIAM Review","volume":"23 1","pages":""},"PeriodicalIF":10.2,"publicationDate":"2025-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143920680","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Featured Review:; How Data Happened: A History from the Age of Reason to the Age of Algorithms 评论:;数据是如何产生的：从理性时代到算法时代的历史
IF 10.2 1区 数学
SIAM Review Pub Date : 2025-05-08 DOI: 10.1137/24m1635521
Rachel Roca
{"title":"Featured Review:; How Data Happened: A History from the Age of Reason to the Age of Algorithms","authors":"Rachel Roca","doi":"10.1137/24m1635521","DOIUrl":"https://doi.org/10.1137/24m1635521","url":null,"abstract":"SIAM Review, Volume 67, Issue 2, Page 401-403, May 2025. <br/> It’s 7.30 am when my alarm wakes me up and I am greeted by my notifications. While eating breakfast, I watch videos YouTube recommends to me: sometimes news stories, sometimes my guilty pleasure of a new “Say Yes to the Dress” clip. On my way to campus, I play my daylist, a curated playlist from Spotify based on what I normally listen to on a given weekday and time. Apparently, as I write this, “Nostalgia 2010s Tuesday Afternoon” is waiting for me. In the classroom, I teach students how to load in data, visualize it, and run a regression.","PeriodicalId":49525,"journal":{"name":"SIAM Review","volume":"287 1","pages":""},"PeriodicalIF":10.2,"publicationDate":"2025-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143920666","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Book Review:; Math in Drag 书评:;拖曳式数学
IF 10.2 1区 数学
SIAM Review Pub Date : 2025-05-08 DOI: 10.1137/24m1668767
Laura W. Layton
{"title":"Book Review:; Math in Drag","authors":"Laura W. Layton","doi":"10.1137/24m1668767","DOIUrl":"https://doi.org/10.1137/24m1668767","url":null,"abstract":"SIAM Review, Volume 67, Issue 2, Page 404-405, May 2025. <br/> “Math is like a drag queen: marvelous, whimsical, at times even controversial, but never boring!” That it how the preface of Math in Drag begins. It is also an excellent description of the book. Math in Drag was authored by Kyne Santos, who often goes by Kyne. Kyne studied mathematics at the University of Waterloo and went viral teaching math on TikTok. Indeed, over a million people have flocked to Kyne’s @onlinekyne account for camp explanations of quadratic equations and square roots. Kyne is also a drag queen and competed in the first season of Canada’s Drag Race.","PeriodicalId":49525,"journal":{"name":"SIAM Review","volume":"64 1","pages":""},"PeriodicalIF":10.2,"publicationDate":"2025-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143920679","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Book Review:; Big Data Analytics for Smart Transport and Healthcare Systems 书评:;智能交通和医疗系统的大数据分析
IF 10.2 1区 数学
SIAM Review Pub Date : 2025-05-08 DOI: 10.1137/24m1637581
Esha Datta
{"title":"Book Review:; Big Data Analytics for Smart Transport and Healthcare Systems","authors":"Esha Datta","doi":"10.1137/24m1637581","DOIUrl":"https://doi.org/10.1137/24m1637581","url":null,"abstract":"SIAM Review, Volume 67, Issue 2, Page 405-406, May 2025. <br/> Big Data Analytics for Smart Transport and Healthcare Systems explores the praxis of data analysis for urban, human-focused datasets. Through a series of timely case studies, the authors demonstrate the need for interdisciplinary approaches to studying big data. This text, which covers topics ranging from flight status to the COVID-19 pandemic, introduces crucial tools for effective and responsible data science and will prove useful for data scientists across a variety of fields.","PeriodicalId":49525,"journal":{"name":"SIAM Review","volume":"1 1","pages":""},"PeriodicalIF":10.2,"publicationDate":"2025-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143920678","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Nonlocal-to-Local Approach to Aggregation-Diffusion Equations 聚集扩散方程的非局部到局部方法
IF 10.2 1区 数学
SIAM Review Pub Date : 2025-05-08 DOI: 10.1137/25m1726248
C. Falcó, R. E. Baker, J. A. Carrillo
{"title":"A Nonlocal-to-Local Approach to Aggregation-Diffusion Equations","authors":"C. Falcó, R. E. Baker, J. A. Carrillo","doi":"10.1137/25m1726248","DOIUrl":"https://doi.org/10.1137/25m1726248","url":null,"abstract":"SIAM Review, Volume 67, Issue 2, Page 353-372, May 2025. <br/> Abstract.Over the past few decades, nonlocal models have been widely used to describe aggregation phenomena in biology, physics, engineering, and the social sciences. These are often derived as mean-field limits of attraction-repulsion agent-based models and consist of systems of nonlocal partial differential equations. Using differential adhesion between cells as a biological case study, we introduce a novel local model of aggregation-diffusion phenomena. This system of local aggregation-diffusion equations is fourth-order, resembling thin-film or Cahn–Hilliard type equations. In this framework, cell sorting phenomena are explained through relative surface tensions between distinct cell types. The local model emerges as a limiting case of short-range interactions, providing a significant simplification of earlier nonlocal models while preserving the same phenomenology. This simplification makes the model easier to implement numerically and more amenable to calibration to quantitative data. In addition, we discuss recent analytical results based on the gradient flow structure of the model, along with open problems and future research directions.","PeriodicalId":49525,"journal":{"name":"SIAM Review","volume":"17 1","pages":""},"PeriodicalIF":10.2,"publicationDate":"2025-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143920681","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Research Spotlights 研究聚光灯
IF 10.2 1区 数学
SIAM Review Pub Date : 2025-05-08 DOI: 10.1137/24m1717907
Stefan M. Wild
{"title":"Research Spotlights","authors":"Stefan M. Wild","doi":"10.1137/24m1717907","DOIUrl":"https://doi.org/10.1137/24m1717907","url":null,"abstract":"SIAM Review, Volume 67, Issue 2, Page 319-319, May 2025. <br/>","PeriodicalId":49525,"journal":{"name":"SIAM Review","volume":"7 1","pages":""},"PeriodicalIF":10.2,"publicationDate":"2025-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143920683","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Gross–Pitaevskii Equation and Eigenvector Nonlinearities: Numerical Methods and Algorithms Gross-Pitaevskii方程和特征向量非线性：数值方法和算法
IF 10.2 1区 数学
SIAM Review Pub Date : 2025-05-08 DOI: 10.1137/22m1516324
Patrick Henning, Elias Jarlebring
{"title":"The Gross–Pitaevskii Equation and Eigenvector Nonlinearities: Numerical Methods and Algorithms","authors":"Patrick Henning, Elias Jarlebring","doi":"10.1137/22m1516324","DOIUrl":"https://doi.org/10.1137/22m1516324","url":null,"abstract":"SIAM Review, Volume 67, Issue 2, Page 256-317, May 2025. <br/> Abstract.In this review paper, we provide an overview of numerical methods used in the study of the Gross–Pitaevskii eigenvalue problem (GPEVP). The GPEVP is an important nonlinear Schrödinger equation that is used in quantum physics to describe the ground states of ultracold bosonic gases. The discretization of the GPEVP leads to a nonlinear eigenvalue problem with eigenvector nonlinearities. The rich variety of numerical techniques in the literature for tackling the GPEVP has ingredients from linear algebra, partial differential equations, and numerical optimization as well as gradient flows on Riemannian manifolds. We review this heterogeneous body of literature with a focus on a unified treatment of seemingly different approaches, algorithms, and method properties, and we point to open problems and future challenges in the field.","PeriodicalId":49525,"journal":{"name":"SIAM Review","volume":"25 1","pages":""},"PeriodicalIF":10.2,"publicationDate":"2025-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143920691","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
SIGEST 团体
IF 10.2 1区 数学
SIAM Review Pub Date : 2025-05-08 DOI: 10.1137/24m1717932
The Editors
{"title":"SIGEST","authors":"The Editors","doi":"10.1137/24m1717932","DOIUrl":"https://doi.org/10.1137/24m1717932","url":null,"abstract":"SIAM Review, Volume 67, Issue 2, Page 351-351, May 2025. <br/>","PeriodicalId":49525,"journal":{"name":"SIAM Review","volume":"228 1","pages":""},"PeriodicalIF":10.2,"publicationDate":"2025-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143920682","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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