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

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Works from 2017

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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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Trajectory analysis of a liquid filament under Rayleigh breakup conditions created from laminar rotary spraying of oil-in-water emulsions, William R. Case, Franz X. Tanner, Kathleen Feigl, and Erich J. Windhab

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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

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A spectral projection method for transmission eigenvalues, Fang Zeng, Ji Guang Sun, and Li Wei Xu

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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The modified Weibull geometric distribution, Min Wang and Ibrahim Elbatal

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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

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Automorphisms of strongly regular graphs and PDS in Abelian groups, Zeying Wang, Stefaan DeWinter, and Ellen Kamischke

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Analysis of sharp superconvergence of local discontinuous galerkin method for one-dimensional linear parabolic equations, Yang Yang and Chi Wang Shu

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On the number of odd values of the Klein j-function and the cubic partition function, Fabrizio Zanello

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Zeilberger's KOH theorem and the strict unimodality of q-binomial coefficients, Fabrizio Zanello

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Some results on electromagnetic transmission eigenvalues, Fang Zeng, Tiara Turner, and Jiguang Sun

Works from 2014

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Vertex-transitive graphs of prime-squared order are Hamilton-decomposable, Brian Alspach, Darryn Bryant, and Donald L. Kreher

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A cost based reweighted scheme of principal support vector machine, Andreas Artemiou and Min Shu

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The structure of quaternary quantum caps, Jürgen Bierbrauer, Daniele Bartoli, Giorgio Faina, Stefano Marcugini, Fernanda Pambianco, and Yves Edel

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On the weak Lefschetz property for artinian Gorenstein algebras of codimension three, Mats Boij, Juan Migliore, Rosa Miro-Roig, Uwe Nagel, and Fabrizio Zanello

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The nonexistence of (18,3,18,6) relative difference sets, David C. Clark and Vladimir Tonchev

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Effect of Flow type, Channel Height, and Viscosity on Drop Production from Micro-pores, Kathleen Feigl, Franz X. Tanner, Sebastian Holzapfel, and Erich J. Windhab

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A combined mixed finite element method and local discontinuous Galerkin method for miscible displacement problem in porous media, Hui Guo, Qing Hua Zhang, and Yang Yang

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Discrete mass conservation for porous media saturated flow, Eleanor W. Jenkins, Chris Paribello, and Nicholas E. Wilson

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A multigrid method for Helmholtz transmission eigenvalue problems, Xia Ji, Jiguang Sun, and Hehu Xie

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Parametrized maximum principle preserving flux limiters for high order schemes solving multi-dimensional scalar hyperbolic conservation laws, Chao Liang and Zhengfu Xu

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The Effect of Gravity on the Stability of an Evaporating Liquid Film, Aneet D. Narendranath, James C. Hermanson, Robert W. Kolkka, Allan Struthers, and Jeffrey S. Allen

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Two unfortunate properties of pure f-vectors, Adrian Pastine and Fabrizio Zanello

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An optimal three-way stable and monotonic spectrum of bounds on quantiles: A spectrum of coherent measures of financial risk and economic inequality, Iosif Pinelis

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A Novel Test for Testing the Optimally Weighted Combination of Rare and Common Variants Based on Data of Parents and Affected Children, Qiuying Sha and Shuanglin Zhang

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A Rare Variant Association Test Based on Combinations of Single-Variant Tests, Qiuying Sha and Shuanglin Zhang

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On the rank function of a differential poset, Richard Stanley and Fabrizio Zanello

The existence of optimal quaternary [28,20,6] and quantum [[28,12,6]] codes, Vladimir Tonchev

Works from 2013

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On the unconditionally gradient stable scheme for the cahn-hilliard equation and its implementation with fourier method, Andrew Christlieb, Keith Promislow, and Zhengfu Xu

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A new class of majority-logic decodable codes derived from polarity designs, David C. Clark and Vladimir Tonchev

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Enumeration of (16,4,16,4) relative difference sets, David C. Clark and Vladimir Tonchev

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An equation error approach for the elasticity imaging inverse problem for predicting tumor location, E. Crossen, Mark Gockenbach, Baasansuren Jadamba, Akhtar A. Khan, and Brian Winkler

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A direct product construction for high-rate self-synchronizing codes, Yuichiro Fujiwara and Vladimir Tonchev

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High-rate self-synchronizing codes, Yuichiro Fujiwara and Vladimir Tonchev

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Algebraic techniques in designing quantum synchronizable codes, Yuichiro Fujiwara, Vladimir Tonchev, and Tony Wong

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Local convergence of Newton’s method in the classical calculus of variations, Mark Gockenbach and Chang Liu

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Pure O-Sequences and Matroid h-Vectors, Huy Tai Ha, Erik Stokes, and Fabrizio Zanello

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New invariants for incidence structures, Dieter Jungnickel and Vladimir Tonchev

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Polynomial analogues of Ramanujan congruences for Han's hooklength formula, William Keith

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The Hamilton-Waterloo Problem with 4-Cycles and a Single Factor of n-Cycles, Melissa S. Keranen and Sibel Özkan

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Warnaarʼs bijection and colored partition identities, I, Colin Sandon and Fabrizio Zanello

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Warnaar’s bijection and colored partition identities, II, Colin Sandon and Fabrizio Zanello

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Genetic networks involved in poplar root response to low nitrogen, Hairong Wei, Yordan Yordanov, Sapna Kumari, Tatyana Georgieva, and Victor Busov

Submissions from 2012

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Stability and error estimates for an equation error method for elliptic equations, Mohammad F. Al-Jamal and Mark Gockenbach

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Nonbinary quantum codes derived from finite geometries, David C. Clark and Vladimir Tonchev

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The geometric dimension of some small configurations, Stefaan DeWinter and Dieter Jungnickel

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Two Adaptive Weighting Methods to Test for Rare Variant Associations in Family-Based Designs, Shurong Fang, Qiuying Sha, and Shuanglin Zhang

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Variational models of network formation and ion transport: Applications to perfluorosulfonate ionomer membranes, Nir Gavish, Jaylan Jones, Zhengfu Xu, Andrew Christlieb, and Keith Promislow

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Uniform two-class regular partial steiner triple systems, Melissa S. Keranen, Donald L. Kreher, and Sibel Özkan

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Pure O-sequences: Known results, applications, and open problems, Juan Migliore, Uwe Nagel, and Fabrizio Zanello

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Detecting Association of Rare and Common Variants by Testing an Optimally Weighted Combination of Variants, Qiuying Sha, Xuexia Wang, Xinli Wang, and Shuanglin Zhang

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Cytokine combination therapy prediction for bone remodeling in tissue engineering based on the intracellular signaling pathway, Xiaoqiang Sun, Jing Su, Jiguang Bao, Tao Peng, Le Zhang, Yuanyuan Zhang, Yunzhi Yang, and Xiaobo Zhou

Works from 2011

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In-plane thermal conductivity modeling of carbon-filled liquid crystal polymer-based resins, Tayloria N.G. Adams, Tamara R. Olson, Julia A. King, and Jason Keith

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Regression and data mining methods for analyses of multiple rare variants in the Genetic Analysis Workshop 17 mini-exome data, Joan E. Bailey-Wilson, Jennifer S. Brennan, Shelley B. Bull, Robert Culverhouse, Yoonhee Kim, Yuan Jiang, Jeesun Jung, Qing Li, Claudia Lamina, Ying Liu, Reedik Mägi, Yue S. Niu, Claire L. Simpson, Libo Wang, Yildiz E. Yilmaz, Heping Zhang, and Zhaogong Zhang

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Commutative semifields from projection mappings, Jürgen Bierbrauer

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On the shape of a pure O -sequence, Mats Boij, Juan Migliore, Rosa Miro-Roig, Uwe Nagel, and Fabrizio Zanello

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Affine geometry designs, polarities, and Hamada's conjecture, David C. Clark, Dieter Jungnickel, and Vladimir Tonchev