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

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Submissions from 2016

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

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

Submissions from 2015

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

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

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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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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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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

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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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

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Information security, coding theory and related combinatorics, Dean Crnkovic and Vladimir Tonchev

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Sharp-tailed grouse lek attendance and fidelity in upper Michigan, Thomas David Drummer, R. Gregory Corace, and Stephen J. Sjogren

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A Hamada type characterization of the classical geometric designs, Dieter Jungnickel and Vladimir Tonchev

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A test of Hardy-Weinberg equilibrium in structured populations, Qiuying Sha and Shuanglin Zhang

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An improved score test for genetic association studies, Qiuying Sha, Zhaogong Zhang, and Shuanglin Zhang

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Direct current insulator-based dielectrophoretic characterization of erythrocytes: ABO-Rh human blood typing, Soumya K. Srivastava, Andreas Artemiou, and Adrienne Minerick

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Finite geometry designs, codes, and Hamada's conjecture, Vladimir Tonchev

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The KOH terms and classes of unimodal N-modular diagrams, Fabrizio Zanello

Submissions from 2010

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Mutually disjoint designs and new 5‐designs derived from groups and codes, Makoto Araya, Masaaki Harada, Vladimir Tonchev, and Alfred Wassermann

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Some algebraic consequences of Green’s hyperplane restriction theorems, Mats Boij and Fabrizio Zanello

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Exponential bounds on the number of designs with affine parameters, David C. Clark, Dieter Jungnickel, and Vladimir Tonchev

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Entanglement-assisted quantum low-density parity-check codes, Yuichiro Fujiwara, David C. Clark, Peter Vandendriessche, Maarten De Boeck, and Vladimir Tonchev

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Finite-dimensional linear algebra, Mark Gockenbach

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Partial differential equations: Analytical and numerical methods, Second edition, Mark Gockenbach

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Classification of generalized Hadamard matrices H(6,3) and quaternary Hermitian self-dual codes of length 18, Masaaki Harada, Clement Lam, Akihiro Munemasa, and Vladimir Tonchev

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The number of designs with geometric parameters grows exponentially, Dieter Jungnickel and Vladimir Tonchev

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Monomial complete intersections, the weak Lefschetz property and plane partitions, Jizhou Li and Fabrizio Zanello

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Simplicial complexes and Macaulay’s inverse systems, Adam Van Tuyl and Fabrizio Zanello

Submissions from 2009

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Newton’s law of heating and the heat equation, Mark Gockenbach and Kristin Schmidtke

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Quasi-Lagrangian acceleration of Eeulerian methods, Igor Kliakhandler and Alexander Kurganov

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Improved simulation of transient engine operations at unsteady speed combining 1-D and 3-D modeling, Jan Macek, Oldřich Vítek, Vít Doleček, Seshasai Srinivasan, and Franz X. Tanner

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Bounds and asymptotic minimal growth for Gorenstein Hilbert functions, Juan Migliore, Uwe Nagel, and Fabrizio Zanello

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The twisted Grassmann graph is the block graph of a design, Akihiro Munemasa and Vladimir Tonchev

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Combinatorial designs and code synchronization, Vladimir Tonchev

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Generalized weighing matrices and self-orthogonal codes, Vladimir Tonchev

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An algorithm for optimal comma free codes with isomorphism rejection, Hao Wang and Vladimir Tonchev

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A new association test to test multiple-marker association, Xuexia Wang, Shuanglin Zhang, and Qiuying Sha

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Interval conjectures for level Hilbert functions, Fabrizio Zanello

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Forcing the strong Lefschetz and the maximal rank properties, Fabrizio Zanello and Jeffery Zylinski