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

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Works from 2014

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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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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

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Hamilton decompositions of balanced complete multipartite graphs with primitive leaves, Sibel Ozkan and C. A. Rodger

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

Works from 2009

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A family of crooked functions, Jürgen Bierbrauer

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New Commutative Semifields and Their Nuclei, Jürgen Bierbrauer

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On orthogonal generalized equitable rectangles, H. Cao, J. Dinitz, D. L. Kreher, D. R. Stinson, and R. Wei

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

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Polarities, quasi-symmetric designs, and Hamada's conjecture, Dieter Jungnickel and Vladimir Tonchev

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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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Grizzly bears (Ursus arctos horribilis) and black bears (Ursus americanus) prevent trabecular bone loss during disuse (hibernation), Meghan E. McGee-Lawrence, Samantha J. Wojda, Lindsay N. Barlow, Thomas David Drummer, Alesha B. Castillo, Oran Kennedy, Keith W. Condon, Janene Auger, Hal L. Black, O. Lynne Nelson, Charles T. Robbins, and Seth W. Donahue

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Six Months of Disuse during Hibernation does not Increase Intracortical Porosity or Decrease Cortical Bone Geometry, Strength, or Mineralization in Black Bear (Ursus americanus) Femurs, Meghan E. McGee-Lawrence, Samantha J. Wojda, Lindsay N. Barlow, Thomas D. Drummer, Kevin Bunnell, Janene Auger, Hal L. Black, and Seth W. Donahue

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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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6-regular Cayley graphs on abelian groups of odd order are hamiltonian decomposable, Erik E. Westlund, Jiuqiang Liu, and Donald L. Kreher

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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

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Multiscale agent-based cancer modeling, Le Zhang, Zhihui Wang, Jonathan A. Sagotsky, and Thomas S. Deisboeck

Works from 2008

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Blocker sets, orthogonal arrays and their application to combination locks, Alphonse Baartmans and Sharad Sane

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Constructing good covering codes for applications in steganography, Jürgen Bierbrauer and Jessica Fridrich

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Crooked binomials, Jürgen Bierbrauer and Gohar M. Kyureghyan

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Experimental and numerical analysis of droplet deformation in a complex flow generated by a rotor-stator device, Runi Ditlev Egholm, Peter Fischer, Kathleen Feigl, Erich J. Windhab, Robert Kipka, and Peter Szabo

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Numerical analysis of elliptic inverse problems with interior data, Mark Gockenbach

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Equation error approach for elliptic inverse problems with an application to the identification of Lamé parameters, Mark Gockenbach, Baasansuren Jadamba, and Akhtar A. Khan

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An abstract framework for elliptic inverse problems: Part 2. An augmented Lagrangian approach, Mark Gockenbach and Akhtar A. Khan

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A system iterative method for solving first-kind, degraded identity operator equations, J. Hilgers, B. Bertram, and W. Reynolds