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

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Works from 2015

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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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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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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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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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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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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

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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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A Multi-Level Method for Transmission Eigenvalues of Anisotropic Media, Xia Ji and Jiguang Sun

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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

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A Parametrized Maximum Principle Preserving Flux Limiter for Finite Difference RK-WENO Schemes with Applications in Incompressible Flows, Tao Xiong, Jing Mei Qiu, and Zhengfu Xu

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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Cyclic Additive Codes, Jürgen Bierbrauer

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

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Partial flocks of the quadratic cone yielding Mathon maximal arcs, F. De Clerck, S. De Winter, and T. Maes

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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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Fixed block configuration group divisible designs with block size six, Melissa S. Keranen and Melanie R. Laffin

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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

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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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Positive-Part Moments via the Fourier-Laplace Transform, Iosif Pinelis

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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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New semifields, PN and APN functions, Jürgen Bierbrauer

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