Mathematical Sciences Blog

Category: In Print

Book Publication – Jiguang Sun

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The Department of Mathematical Sciences is pleased to share the recent publication by Jinguang Sun, Endowed Professor of Mathematics. Dr. Sun, along with co-author Aihui Zhou, published the 2nd Edition of “Finite Element Methods for Eignevalue Problems” on May 10, 2026 through CRC Press.

“Finite Element Methods for Eigenvalue Problems” covers finite element methods for several typical eigenvalues that arise from science and engineering. Both theory and implementation are covered in depth at the graduate level. The background for typical eigenvalue problems is included along with functional analysis tools, finite element discretization methods, convergence analysis, techniques for matrix evaluation problems, and computer implementation. The book also presents new methods, such as the discontinuous Galerkin method, and new problems, such as the transmission eigenvalue problem.

A big congratulations to Dr. Sun!

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Book Publication – Alexander Labovsky

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The Department of Mathematical Sciences is pleased to share the recent publication by Associate Professor Alexander Labovsky. Alex wrote “Defect Correction Methods for Fluid Flows at High Reynolds Numbers“, which was published July 16, 2025, through Chapman & Hall.

Alex was also celebrated on March 13, 2026 at the Michigan Tech Author’s Reception in the Van Pelt and Opie Library.

“Defect Correction Methods for Fluid Flows at High Reynold’s Numbers” presents the mathematical development of defect correction methods (DCM) in application to fluid flow problems in various settings. It shows several approaches to applying the DCM ideas in computational fluid dynamics (CFD) – from a basic idea of controlling the flow by the means of increased diffusion, to the state-of-the-art family of novel, DCM-based turbulence models.

Congratulations on your accomplishment, Alex!

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In Print: Pinelis Paper Published in the Journal Electronic Communications in Probability

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Image if Iosif Pinelis who published in the journal electronic communications
Dr. Iosif Pinelis
Professor, Mathematical Sciences

Congratulations to Iosif Pinelis. Dr. Pinelis is the author of a paper published in the Journal Electronic Communications in Probability. The paper is titled “Asymptotics of the rate function in the large deviation principle for sums of independent identically distributed random variables.”

Dr. Pinelis is a professor of mathematical sciences whose main interests are in exact inequalities and limit theorems and extremal problems in probability theory. Other interests include optimization, evolutionary modeling, and operations research.

About the Mathematical Sciences Department

Mathematicians at Michigan Technological University conduct research and guide students, applying concepts to fields like business, engineering, healthcare, and government. The Mathematical Sciences Department offers undergraduate and graduate programs with degrees in mathematical sciences, applied statistics, and statistics. Students supercharge their math skills at Michigan’s premier technological university. They graduate prepared for successful careers in academia, research, and tomorrow’s high-tech business environment.

Questions? Contact us at mathdept@mtu.edu. Follow us on Facebook or read the Mathematical Sciences news blog for the latest happenings.

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In Print: Iosif Pinelis Published in The American Mathematical Monthly

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Iosif Pinelis article cover page
Iosif Pinelis article as it appears in The American Mathematical Monthly

Iosif Pinelis authored a paper accepted for publication in The American Mathematical Monthly. The paper is titled “An exact bound for the inner product of vectors in C^n”. View a preprint version of the paper and/or download it online.

About the Mathematical Sciences Department

Mathematicians at Michigan Technological University conduct research and guide students, applying concepts to fields like business, engineering, healthcare, and government. The Mathematical Sciences Department offers undergraduate and graduate programs with degrees in mathematical sciences, applied statistics, and statistics. Students supercharge their math skills at Michigan’s premier technological university. They graduate prepared for successful careers in academia, research, and tomorrow’s high-tech business environment.

Questions? Contact us at mathdept@mtu.edu. Follow us on Facebook or read the Mathematical Sciences news blog for the latest happenings.

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In Print

Published

Screen Shot 2017-05-25 at 9.27.05 AMIosif Pinelis contributed two chapters, “On the nonuniform Berry—Esseen bound” and “On the Berry—Esseen bound for the Student statistic,” to the book “Inequalities and Extremal Problems in Probability and Statistics: Selected Topics,” just published by Elsevier’s imprint Academic Press. Pinelis is also the editor of the book.

The other contributing authors are V. de la Peña (Columbia University), R. Ibragimov (Imperial College London), A. Osȩkowski (University of Warsaw, Poland) and I. Shevtsova (Moscow University, Russia).

The Google preview of the book is available online through Google Books and Elsevier.

Also, Pinelis published the paper, “(Quasi)additivity Properties of the Legendre—Fenchel Transform and its Inverse, with Applications in Probability“, in the Journal of Convex Analysis 24 (2017), No. 3, online first.

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In Print

Published

Professor Iosif Pinelis published the paper “Convex Cones of Generalized Multiply Monotone Functions and the Dual Cones” in Banach Journal of Mathematical Analysis, Volume 10, Number 4 (2016), 864–897. The abstract is available online.

Pinelis also published a paper, “Contrast Between Populations Versus Spread within Populations,” in Statistics and Probability Letters 121 (2017) 99–100. It is available until December 22, 2016 here.

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