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

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Works from 2019

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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

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On Bonisoli’s theorem and the block codes of Steiner triple systems, Dieter Jungnickel and Vladimir Tonchev

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The classification of antipodal two-weight linear codes, Dieter Jungnickel and Vladimir Tonchev

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Extension sets, affine designs, and Hamada’s conjecture, Dieter Jungnickel, Yue Zhou, and Vladimir Tonchev

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Bayesian variance changepoint detection in linear models with symmetric heavy-tailed errors, Shuaimin Kang, Guangying Liu, Howard Qi, and Min Wang

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Computing minimum rainbow and strong rainbow colorings of block graphs, Melissa Karanen and Juho Lauri

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Partitions into Parts Simultaneously Regular, Distinct, And/or Flat, William Keith

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Comparison of AJCC anatomic and clinical prognostic stage groups in breast cancer: Analysis of 3322 cases from a single institution, Ashish Kurundkar, Xiaoqing Gao, Kui Zhang, Jacob P Britt, Gene P Siegal, and Shi Wei

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A hierarchical clustering method for dimension reduction in joint analysis of multiple phenotypes, Xiaoyu Liang, Qiuying Sha, Yeonwoo Rho, and Shuanglin Zhang

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Extended sampling method in inverse scattering, Juan Liu and Jiguang Sun

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Data recovery in inverse scattering: From limited-aperture to full-aperture, Xiaodong Liu and Jiguang Sun

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On the choice of instruments in mixed frequency specification tests, Yun Liu and Yeonwoo Rho

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An alternative to the Euler–Maclaurin summation formula: approximating sums by integrals only, Iosif Pinelis

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Measure extension by local approximation, Iosif Pinelis

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A clustering linear combination approach to jointly analyze multiple phenotypes for GWAS, Qiuying Sha, Zhenchuan Wang, Xiao Zhang, and Shuanglin Zhang

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Through-wall detection of the moving paths and vital signs of human beings, Kun Wang, Zhaofa Zeng, and Jiguang Sun

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Total variation bounded flux limiters for high order finite difference schemes solving one-dimensional scalar conservation laws, Sulin Wang and Zhengfu Xu

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On Bergeron's positivity problem for q -binomial coefficients, Fabrizio Zanello

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The reconstruction of obstacles in a waveguide using finite elements, Ruming Zhang and Jiguang Sun

Works from 2017

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A high accuracy minimally invasive regularization technique for navier–stokes equations at high reynolds number, Mustafa Aggul and Alexander E. Labovsky

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Smoothing via elliptic operators with application to edge detection, Mohammad F. Al-Jamal, A. K. Alomari, and Mark Gockenbach

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A family of semifields in characteristic 2, Daniele Bartoli, Jürgen Bierbrauer, Gohar Kyureghyan, Massimo Giulietti, Stefano Marcugini, and Fernanda Pambianco

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Hodge Decomposition Methods for a Quad-Curl Problem on Planar Domains, Susanne C. Brenner, Jiguang Sun, and Li yeng Sung

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An Asymptotic Preserving Maxwell Solver Resulting in the Darwin Limit of Electrodynamics, Yingda Cheng, Andrew J. Christlieb, Wei Guo, and Benjamin Ong

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Quasi-symmetric 2-(64, 24, 46) designsderivedfrom AG(3, 4), Dean Crnkovic, B. G. Rodrigues, Sanja Rukavina, and Vladimir Tonchev

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Non-existence of two types of partial difference sets, Stefaan DeWinter, Eric Neubert, and Zeying Wang

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Orientable ℤ < inf> n -distance magic labeling of the Cartesian product of many cycles, Bryan Freyberg and Melissa S. Keranen

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Local Discontinuous Galerkin Method for Incompressible Miscible Displacement Problem in Porous Media, Hui Guo, Fan Yu, and Yang Yang

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Self‐dual codes and the nonexistence of a quasi‐symmetric 2‐(37,9,8) design with intersection numbers 1 and 3, Masaaki Harada, Akihiro Munemasa, and Vladimir Tonchev

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Some new Kirkman signal sets, Jezerca Hodaj, Melissa S. Keranen, Donald L. Kreher, and Leah C. Tollefson

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On classifying Steiner triple systems by their 3-rank, Dieter Jungnickel, Spyros Magliveras, Vladimir Tonchev, and Alfred Wassermann

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A Generalization of the Hamilton–Waterloo Problem on Complete Equipartite Graphs, Melissa S. Keranen and Adrian Pastine

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Local Discontinuous Galerkin Method for the Keller-Segel Chemotaxis Model, Xingjie Helen Li, Chi Wang Shu, and Yang Yang

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Neumann–Neumann waveform relaxation algorithm in multiple subdomains for hyperbolic problems in 1D and 2D, Bankim C. Mandal

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Unimodal Gorenstein h-vectors without the Stanley–Iarrobino property, Juan Migliore and Fabrizio Zanello

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Pipeline implementations of Neumann–Neumann and Dirichlet–Neumann waveform relaxation methods, Benjamin W. Ong and Bankim Mandal

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Significance of variable selection and scaling issues for probabilistic modeling of rainfall-induced landslide susceptibility, Thomas Oommen, Patrice F. Cobin, John S. Gierke, and K. S. Sajinkumar

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An involution inequality for the kullback-leibler divergence, Iosif Pinelis

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Approximating sums by integrals only: multiple sums and sums over lattice polytopes, Iosif Pinelis

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Linearly embeddable designs, Vladimir Tonchev

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On resolvable Steiner 2-designs and maximal arcs in projective planes, Vladimir Tonchev

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Detecting association of rare and common variants based on cross-validation prediction error, Xinlan Yang, Shuaichen Wang, Shuanglin Zhang, and Qiuying Sha

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Property analysis of exfoliated graphite nanoplatelets modified asphalt model using molecular dynamics (MD) method, Hui Yao, Qingli Dai, Zhanping You, Andreas Bick, Min Wang, and Shuaicheng Guo

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Conservative Local Discontinuous Galerkin Method for Compressible Miscible Displacements in Porous Media, Fan Yu, Hui Guo, Nattaporn Chuenjarern, and Yang Yang

Works from 2016

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Projective polynomials, a projection construction and a family of semifields, Jürgen Bierbrauer

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An algebraic approach to finite projective planes, David Cook III, Juan Migliore, Uwe Nagel, and Fabrizio Zanello

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Automorphisms of strongly regular graphs with applications to partial difference sets, Stefaan DeWinter, Ellen Kamischke, and Zeying Wang

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Classification of partial difference sets in Abelian groups of order 4p^2, Stefaan DeWinter and Zeying Wang

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C0IP Methods for the Transmission Eigenvalue Problem, Hongrui Geng, Xia Ji, Jiguang Sun, and Liwei Xu

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Generalizing the GSVD, Mark Gockenbach

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Linear Inverse Problems and Tikhonov Regularization, Mark Gockenbach

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Parallel hybrid bispectrum-multi-frame blind deconvolution image reconstruction technique, Solmaz Hajmohammadi, Saeid Nooshabadi, Glen E. Archer, Jeremy P. Bos, and Allan Struthers

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The weight distribution of the self-dual [ 128 , 64 ] polarity design code, Masaaki Harada, Ethan Novak, and Vladimir Tonchev

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C0IPG for a Fourth Order Eigenvalue Problem, Xia Ji, Hongrui Geng, Jiguang Sun, and Liwei Xu

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Effects of carbon fillers on the conductivity and tensile properties of polyetheretherketone composites, Julia A. King, Julie Tomasi, Danielle René Klimek-McDonald, Ibrahim Miskioglu, Gregory M. Odegard, Todd King, and John W. Sutherland

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AESvisual: A visualization tool for the AES cipher, Jun Ma, Jun Tao, Jean Mayo, Ching-Kuang Shene, Melissa Karanen, and Chaoli Wang

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Stanley's nonunimodal Gorenstein h-vector is optimal, Juan Migliore and Fabrizio Zanello

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Pipeline schwarzwaveform relaxation, Benjamin Ong, Scott High, and Felix Kwok

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A new family of regularized kernels for the harmonic oscillator, Benjamin W. Ong, Andrew Christlieb, and Bryan D. Quaife

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Algorithm 965: RIDC methods: A family of parallel time integrators, Benjamin W. Ong, Ronald D. Haynes, and Kyle Ladd

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Explicit additive decomposition of norms on ℝ 2 , Iosif Pinelis

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On a multidimensional spherically invariant extension of the Rademacher-Gaussian comparison, Iosif Pinelis

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On the extreme points of moments sets, Iosif Pinelis

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Optimal binomial, Poisson, and normal left-tail domination for sums of nonnegative random variables, Iosif Pinelis

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Unimodality of certain parametric integrals, Iosif Pinelis

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A Radial basis function based frames strategy for bypassing the Runge phenomenon, Cecile M. Piret

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Fast RBF OGr for solving PDEs on arbitrary surfaces, Cecile M. Piret and Jarrett Dunn

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An Explicit High-Order Single-Stage Single-Step Positivity-Preserving Finite Difference WENO Method for the Compressible Euler Equations, David C. Seal, Qi Tang, Zhengfu Xu, and Andrew J. Christlieb

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Some asymptotic results on q-binomial coefficients, Richard Stanley and Fabrizio Zanello

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A mixed FEM for the quad-curl eigenvalue problem, Jiguang Sun

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Bayesian analysis of Birnbaum–Saunders distribution via the generalized ratio-of-uniforms method, Min Wang, Xiaoqian Sun, and Chanseok Park

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The Absolute Beginners Guide to Coding Using Scratch, Nicole Yarroch and Leo C. Ureel II

Works from 2015

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C0 interior penalty galerkin method for biharmonic eigenvalue problems, Susanne C. Brenner, Peter Monk, and Jiguang Sun

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New symmetric (61,16,4) designs obtained from codes, Dean Crnkovic, Sanja Rukavina, and Vladimir Tonchev

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Linear representations of subgeometries, Stefaan De Winter, Sara Rottey, and Geertrui Van de Voorde

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Proximal methods for the elastography inverse problem of tumor identification using an equation error approach, Mark Gockenbach, Baasansuren Jadamba, Akhtar A. Khan, Christiane Tammer, and Brian Winkler

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Local Discontinuous Galerkin Methods for the Functionalized Cahn–Hilliard Equation, Ruihan Guo, Yan Xu, and Zhengfu Xu

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Maximal arcs and quasi-symmetric designs, Dieter Jungnickel and Vladimir Tonchev

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A defect correction approach to turbulence modeling, Alexander E. Labovsky

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A topological dichotomy with applications to complex analysis, Iosif Pinelis

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Geometrically convergent sequences of upper and lower bounds on the Wallis ratio and related expressions, Iosif Pinelis

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On the Hölder and Cauchy-Schwarz inequalities, Iosif Pinelis

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Relations between the first four moments, Iosif Pinelis

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On quasi-symmetric 2-(64, 24, 46) designs derived from codes, B. G. Rodrigues and Vladimir Tonchev

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The Catalan case of Armstrong's conjecture on simultaneous core partitions Read More: https://epubs.siam.org/doi/10.1137/130950318, Richard Stanley and Fabrizio Zanello

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Unimodality of partitions with distinct parts inside Ferrers shapes, Richard Stanley and Fabrizio Zanello

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Bayesian structured variable selection in linear regression models, Min Wang, Xiaoqian Sun, and Tao Lu

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A powerful approach to test an optimally weighted combination of rare variants in admixed populations, Xuexia Wang, Shuanglin Zhang, Yun Li, Mingyao Li, and Qiuying Sha