Explore a selection of works produced by faculty in the Department of Mathematical Sciences at Michigan Technological University.

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Works from 2020

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Approximate deconvolution with correction: A member of a new class of models for high reynolds number flows, Alexander E. Labovsky

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Ternary codes, biplanes, and the nonexistence of some quasisymmetric and quasi-3 designs, Akihiro Munemasa and Vladimir D. Tonchev

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Towards an adaptive treecode for N-body problems, Benjamin W. Ong and Satyen Dhamankar

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Applications of time parallelization, Benjamin W. Ong and Jacob B. Schroder

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Clarifiable Ambiguity in Classroom Mathematics Discourse, Blake E. Peterson, Keith R. Leatham, Lindsay M. Merrill, Laura R. Van Zoest, and Shari L. Stockero

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An asymptotically optimal transform of Pearson’s correlation statistic, Iosif Pinelis

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Exact lower and upper bounds on the incomplete gamma function, Iosif Pinelis

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Exact upper bound on the sum of squared nearest-neighbor distances between points in a rectangle, Iosif Pinelis

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Identities and inequalities for the cosine and sine functions, Iosif Pinelis

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Monotonicity properties of the Poisson approximation to the binomial distribution, Iosif Pinelis

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Odd–even decomposition of functions, Iosif Pinelis

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The Radial Basis Functions Method for Improved Numerical Approximations of Geological Processes in Heterogeneous Systems, Cecile M. Piret, Neluka Dissanayake, John S. Gierke, and Bengt Fornberg

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Transferability of teacher noticing, Shari L. Stockero

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Teachers’ orientations toward using student mathematical thinking as a resource during whole-class discussion, Shari L. Stockero, Keith R. Leatham, Mary A. Ochieng, Laura R. Van Zoest, and Blake E. Peterson

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Teachers’ responses to instances of student mathematical thinking with varied potential to support student learning, Shari L. Stockero, Laura R. Van Zoest, Ben Freeburn, Blake E. Peterson, and Keith R. Leatham

Inductive Formulas Related to Prime Partitions, Jie Sun and Kyle Sutela

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Special topic on food and fluids, Franz X. Tanner and Kathleen Feigl

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An h−adaptive local discontinuous Galerkin method for simulating wormhole propagation with Darcy–Forcheiner model, Lulu Tian, Hui Guo, Rui Jia, and Yang Yang

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New necessary conditions on (negative) Latin square type partial difference sets in abelian groups, Zeying Wang

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A new finite element approach for the Dirichlet eigenvalue problem, Wenqiang Xiao, Bo Gong, Jiguang Sun, and Zhimin Zhang

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The hybrid dimensional representation of permeability tensor: A reinterpretation of the discrete fracture model and its extension on nonconforming meshes, Ziyao Xu and Yang Yang

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Measuring Systemic Risk of Switching Attacks Based on Cybersecurity Technologies in Substations, Koji Yamashita, Chee Wooi Ten, Yeonwoo Rho, Lingfeng Wang, Wei Wei, and Andrew Ginter

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Optimal convergence and superconvergence of semi-Lagrangian discontinuous Galerkin methods for linear convection equations in one space dimension, Yang Yang, Xiaofeng Cai, and Jing Mei Qiu

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Premium calculation for insurance businesses based on cyber risks in IP-Based power substations, Zhiyuan Yang, Yun Liu, Meghan Campbell, Chee Wooi Ten, Yeonwoo Rho, Lingfeng Wang, and Wei Wei

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Test Gene-Environment Interactions for Multiple Traits in Sequencing Association Studies, Jianjun Zhang, Qiuying Sha, Han Hao, Shuanglin Zhang, Xiaoyi Raymond Gao, and Xuexia Wang

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Test Gene-Environment Interactions for Multiple Traits in Sequencing Association Studies., Jianjun Zhang, Qiuying Sha, Han Hao, Shuanglin Zhang, Xiaoyi Raymond Gao, and Xuexia Wang

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Parameter-expanded data augmentation for analyzing correlated binary data using multivariate probit models, Xiao Zhang

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Conservative discontinuous Galerkin methods for the nonlinear Serre equations, Jianli Zhao, Qian Zhang, Yang Yang, and Yinhua Xia

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Testing gene-environment interactions for rare and/or common variants in sequencing association studies., Zihan Zhao, Jianjun Zhang, Qiuying Sha, and Han Hao

Works from 2019

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Assessment of post-wildfire debris flow occurrence using classifier tree, Priscilla Addison, Thomas Oommen, and Qiuying Sha

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Characterization of peristaltic flow during the mixing process in a model human stomach, Samer Alokaily, Kathleen Feigl, and Franz X. Tanner

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On factor-invariant graphs, Brian Alspach, Afsaneh Khodadadpour, and Donald L. Kreher

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Sequencing partial Steiner triple systems, Brian Alspach, Donald L. Kreher, and Adrian Pastine

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Revisionist integral deferred correction with adaptive step-size control, Andrew Christlieb, Colin B. Macdonald, Benjamin W. Ong, and Raymond J. Spiteri

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Fourier analysis of local discontinuous Galerkin methods for linear parabolic equations on overlapping meshes, Nattaporn Chuenjarern and Yang Yang

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A result on polynomials derived via graph theory, Robert S. Coulter, Stefaan DeWinter, Alex Kodess, and Felix Lazebnik

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Cyclotomic trace codes, Dean Crnkovic, Andrea Svob, and Vladimir Tonchev

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Maximal arcs and extended cyclic codes, Stefaan DeWinter, Cunsheng Ding, and Vladimir Tonchev

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Robust meta-analysis of biobank-based genome-wide association studies with unbalanced binary phenotypes., Rounak Dey, Jonas B Nielsen, Lars G Fritsche, Wei Zhou, Huanhuan Zhu, Cristen J Willer, and Seunggeun Lee

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Linear codes of 2-designs associated with subcodes of the ternary generalized Reed–Muller codes, Cunsheng Ding, Chunming Tang, and Vladimir Tonchev

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Revisiting the Jones eigenproblem in fluid-structure interaction, Sebastián Domínguez, Nilima A. Nigam, and Jiguang Sun

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Third-order conservative sign-preserving and steady-state-preserving time integrations and applications in stiff multispecies and multireaction detonations, Jie Du and Yang Yang

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Stability analysis and error estimates of local discontinuous Galerkin methods for convection–diffusion equations on overlapping meshes, Jie Du, Yang Yang, and Eric Chung

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High-order local discontinuous Galerkin method for simulating wormhole propagation, Hui Guo, Lulu Tian, Ziyao Xu, Yang Yang, and Ning Qi

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Interior estimates of semidiscrete finite element methods for parabolic problems with distributional data, Li Guo, Hengguang Li, and Yang Yang

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Energy Dissipative Local Discontinuous Galerkin Methods for Keller–Segel Chemotaxis Model, Li Guo, Xingjie Helen Li, and Yang Yang

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Universal rank-order transform to extract signals from noisy data, Glenn Ierley and Alexander Kostinski

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Assessing the likelihood of having false positives caused by population stratification, Renfang Jiang and Jianping Dong

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The classification of Steiner triple systems on 27 points with 3-rank 24, Dieter Jungnickel, Spyros Magliveras, Vladimir Tonchev, and Alfred Wassermann

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Counting Steiner triple systems with classical parameters and prescribed rank, Dieter Jungnickel and Vladimir Tonchev

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Families of major index distributions: Closed forms and unimodality, William Keith

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On the Hamilton-Waterloo problem: the case of two cycles sizes of different parity, Melissa S. Keranen and Adrian Pastine

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Exact lower bounds for the agnostic probably-approximately-correct (PAC) machine learning model, Aryeh Kontorovich and Iosif Pinelis

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Block-avoiding sequencings of points in Steiner triple systems, Donald L. Kreher and Douglas R. Stinson

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Block-avoiding point sequencings of directed triple systems, Donald L. Kreher, Douglas Stinson, and Shannon Veitch

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Block-avoiding sequencings of points in Steiner triple systems, Donald L. Kreher and Douglas R. Stnson

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Numerical solution of space-time fractional PDEs using RBF-QR and Chebyshev polynomials, Sushil Kumar and Cecile M. Piret

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Schwarz waveform relaxation with adaptive pipelining, Felix Kwok and Benjamin W. Ong

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Extended sampling method for inverse elastic scattering problems using one incident wave, J. Liu, X. Liu, and J. Sun

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Spectral indicator method for a non-sefladjoint Steklov eigenvalue problem, J. Liu, Jie Sun, and T. Turner

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An inverse medium problem using Stekloff eigenvalues and a Bayesian approach, Juan Liu, Yanfang Liu, and Jiguang Sun

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Joint analysis of multiple phenotypes using a clustering linear combination method based on hierarchical clustering., Xueling Li, Shuanglin Zhang, and Qiuying Sha

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Synchronous and metachronous bilateral breast cancer: clinicopathologic characteristics and prognostic outcomes, Smitha Mruthyunjayappa, Kui Zhang, Lanjing Zhang, Isam-Eldin A. Eltoum, Gene P. Siegal MD, and Shi Wei

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Proof of the Gorenstein interval conjecture in low socle degree, Sung Gi Park, Richard Stanley, and Fabrizio Zanello

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A least-squares implicit RBF-FD closest point method and applications to PDEs on moving surfaces, A. Petras, L. Ling, Cecile M. Piret, and S. J. Ruuth

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A necessary and sufficient condition on the stability of the infimum of convex functions, Iosif Pinelis

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An optimal upper bound on the tail probability for sums of random variables, Iosif Pinelis

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A simple and more general approach to Stokes’ theorem, Iosif Pinelis

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Exact Bounds on the Inverse Mills Ratio and Its Derivatives, Iosif Pinelis

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Exact bounds on the zeros of solutions of second–order differential inequalities, Iosif Pinelis

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Exact upper and lower bounds on the misclassification probability, Iosif Pinelis

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Excess versions of the Minkowski and Hölder inequalities, Iosif Pinelis

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Nonnegative sum-symmetric matrices and optimal-score partitions, Iosif Pinelis

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Order statistics on the spacings between order statistics, Iosif Pinelis

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Order statistics upon order statistics, Iosif Pinelis

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The radical basis functions method for improved numerical approximations of geological processes in heterogeneous systems, Cecile M. Piret, Neluka Dissanayake, John S. Gierke, and Bengt Fornberg

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A generalization of a 1998 unimodality conjecture of Reiner and Stanton, Richard P. Stanley and Fabrizio Zanello

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A note on the asymptotics of the number of O-sequences of given length, Richard Stanley and Fabrizio Zanello

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Differential equations, Allan Struthers and Merle Potter

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Inductive Formulas Related to Prime Partitions, Jie Sun and Kyle Sutela

A curl-conforming weak Galerkin method for the quad-curl problem, Jiguang Sun, Qian Zhang, and Zhimin Zhang

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A curl-conforming weak Galerkin method for the quad-curl problem, Jiguang Sun, Qian Zhang, and Zhimin Zhang

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Bayesian t-tests for correlations and partial correlations, Min Wang, Fang Chen, Tao Lu, and Jianping Dong

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New necessary conditions on Paley‐type partial difference sets in abelian groups, Zeying Wang

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Paley type partial difference sets in abelian groups, Zeying Wang

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Euler’s partition theorem for all moduli and new companions to Rogers–Ramanujan–Andrews–Gordon identities, Xinhua Xiong and William Keith

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Precipitation hardening via chemically ordered L12 precipitates in Al-Sc-Zr Alloys - New insights using combined STEM and EDS study, Yang Yang, Amlan Mukherjee, and Paul G. Sanders

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A gene based approach to test genetic association based on an optimally weighted combination of multiple traits., Jianjun Zhang, Qiuying Sha, Guanfu Liu, and Xuexia Wang

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A general statistic to test an optimally weighted combination of common and/or rare variants., Jianjun Zhang, Baolin Wu, Qiuying Sha, Shuanglin Zhang, and Xuexia Wang

Works from 2018

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Itinéraire d’un sociologue global, Sébastien Antoine, Cecile M. Piret, and François Rinschbergh

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A family of semifields in odd characteristic, Jürgen Bierbrauer, Daniele Bartoli, Giorgio Faina, Stefano Marcugini, and Fernanda Pambianco

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Effect of intraoperative or postoperative intravenous acetaminophen on postoperative pain scores and opioid requirements in abdominal and spinal surgery patients, Xuezhao Cao, Roya Yumul, Ofelia Loani Elvir Lazo, Joseph Stuart, Asmik Asatrian, Xiao Zhang, and et al.

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Non-existence of partial difference sets in Abelian groups of order 8p3, Stefaan DeWinter and Zeying Wang

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All binary linear codes that are invariant under PSL2(n), Cunsheng Ding, Hao Liu, and Vladimir Tonchev

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Maximal arcs in projective planes of order 16 and related designs, Mustafa Gezek, Vladimir Tonchev, and Tim Wagner

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On the convergence of a heuristic parameter choice rule for Tikhonov regularization, Mark Gockenbach and Elaheh Gorgin

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Approximating the generalized singular value expansion, Mark Gockenbach and Matthew J. Roberts

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Recursive integral method with Cayley transformation, R. Huang, Jiguang Sun, and C. Yang

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On the density of the odd values of the partition function, Samuel Judge, William Keith, and Fabrizio Zanello

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On the density of the odd values of the partition function, II: An infinite conjectural framework, Samuel Judge and Fabrizio Zanello