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

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Works from 2016

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Corrigendum to "Universal central extensions of slm|n over Z/2Z-graded algebras" [Journal of Pure and Applied Algebra 219 (9), September 2015, 4278-4294] doi: 10.1016/j.jpaa.2015.02.018., Hongjia Chen and Jie Sun

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Innovation of aggregate angularity characterization using gradient approach based upon the traditional and modified Sobel operation, Siyu Chen, Xu Yang, Zhanping You, and Min Wang

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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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Weak isometries of the Boolean cube, S. DeWinter and M. Korb

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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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Recursive integral method for transmission eigenvalues, Ruihao Huang, Allan Struthers, Jiguang Sun, and Ruming Zhang

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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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Magnetohydrodynamic Flows: Boussinesq Conjecture, Alexander Labovsky and William Layton

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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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Response to: A problem involving power series, 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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Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics, Tong Qin, Chi Wang Shu, and Yang Yang

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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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A problem involving power series, Terence Tao

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Bayesian analysis of two-piece location-scale models under reference priors with partial information, Shiyi Tu, Min Wang, and Xiaoqian 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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Posterior property of Student-t linear regression model using objective priors, Min Wang and Mingan Yang

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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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Using sliced inverse mean difference for sufficient dimension reduction, Andreas Artemiou and Lipu Tian

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Enclosings of λ-fold 5-cycle systems for u = 2, John Asplund, C. A. Rodger, and Melissa S. Keranen

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The nonexistence of an additive quaternary [15, 5, 9]-code, Jürgen Bierbrauer, Daniele Bartoli, Giorgio Faina, Stefano Marcugini, and Fernanda Pambianco

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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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Universal central extensions of slm|n over Z/2Z-graded algebras, Hongjia Chen and Jie Sun

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High Order Parametrized Maximum-principle-preserving and Positivity-preserving WENO Schemes on Unstructured Meshes, Andrew J. Christlieb, Yuan Liu, Qi Tang, and Zhengfu Xu

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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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Positivity Preserving High-order Local Discontinuous Galerkin Method for Parabolic Equations with Blow-up Solutions, Li Guo and Yang Yang

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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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On the consistency of the objective bayes factor for the integral priors in the one-way random effects model, Shuaimin Kang, Min Wang, and Tao Lu

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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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Characteristic function of the positive part of a random variable and related results, with applications, 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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On the supremum of the tails of normalized sums of independent Rademacher random variables, 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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A matching prior for the shape parameter of the exponential power distribution, Min Wang and Tao Lu

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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

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Efficient finite element method for grating profile reconstruction, Ruming Zhang 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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F-vectors of pure complexes and pure multicomplexes of rank three, Charles J. Colbourn, M. S. Keranen, and D. L. Kreher

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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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Schur2-concavity properties of Gaussian measures, with applications to hypotheses testing, 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

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Bayes factor consistency for nested linear models with a growing number of parameters, Min Wang and Xiaoqian Sun

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On the Well-Posedness and Conservation Laws of a Family of Multiscale Deconvolution Models for the Magnetohydrodynamics Equations, Nicholas E. Wilson

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High Order Maximum Principle Preserving Semi-Lagrangian Finite Difference WENO Schemes for the Vlasov Equation, Tao Xiong, Jing Mei Qiu, Zhengfu Xu, and Andrew Christlieb

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A Positivity-Preserving Semi-Implicit Discontinuous Galerkin Scheme for Solving Extended Magnetohydrodynamics Equations, Xuan Zhao, Yang Yang, and Charles E. Seyler

Works from 2013

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Orthogonal projection and liftings of Hamilton-decomposable Cayley graphs on abelian groups, Brian Alspach, Cafer Caliskan, and Donald L. Kreher

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Predictive power of principal components for single-index model and sufficient dimension reduction, Andreas Artemiou and Bing Li

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Subplanes of order 3 in Figueroa planes, Cafer Caliskan and Bryan Petrak

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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