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

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Works from 2018

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Total variation bounded flux limiters for high order finite difference schemes solving one-dimensional scalar conservation laws, Sulin Wang and Zhengfu Xu

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Modulus simulation of asphalt binder models using Molecular Dynamics (MD) method, Hui Yao, Qingli Dai, Zhanping You, Andreas Bick, and Min Wang

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On Bergeron's positivity problem for q -binomial coefficients, Fabrizio Zanello

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The reconstruction of obstacles in a waveguide using finite elements, Ruming Zhang and Jiguang Sun

Works from 2017

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A high accuracy minimally invasive regularization technique for navier–stokes equations at high reynolds number, Mustafa Aggul and Alexander E. Labovsky

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Smoothing via elliptic operators with application to edge detection, Mohammad F. Al-Jamal, A. K. Alomari, and Mark Gockenbach

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Proceedings of the international conference on computational mathematics and inverse problems honoring Peter Monk, Constantin Bacuta, Fioralba Cakoni, Houssem Haddar, and Jiguang Sun

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A family of semifields in characteristic 2, Daniele Bartoli, Jürgen Bierbrauer, Gohar Kyureghyan, Massimo Giulietti, Stefano Marcugini, and Fernanda Pambianco

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The Pace code, the Mathieu group M12 and the small Witt design S(5,6,12), Jürgen Bierbrauer, S. Marcugini, and F. Pambianco

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Hodge Decomposition Methods for a Quad-Curl Problem on Planar Domains, Susanne C. Brenner, Jiguang Sun, and Li yeng Sung

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An Asymptotic Preserving Maxwell Solver Resulting in the Darwin Limit of Electrodynamics, Yingda Cheng, Andrew J. Christlieb, Wei Guo, and Benjamin Ong

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Quasi-symmetric 2-(64, 24, 46) designsderivedfrom AG(3, 4), Dean Crnkovic, B. G. Rodrigues, Sanja Rukavina, and Vladimir Tonchev

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Non-existence of two types of partial difference sets, Stefaan DeWinter, Eric Neubert, and Zeying Wang

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Orientable ℤ < inf> n -distance magic labeling of the Cartesian product of many cycles, Bryan Freyberg and Melissa S. Keranen

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Using Discourse Analysis to Understand Variation in Students' Reasoning from Accepted Ways of Reasoning, John Gruver

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Local Discontinuous Galerkin Method for Incompressible Miscible Displacement Problem in Porous Media, Hui Guo, Fan Yu, and Yang Yang

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Self‐dual codes and the nonexistence of a quasi‐symmetric 2‐(37,9,8) design with intersection numbers 1 and 3, Masaaki Harada, Akihiro Munemasa, and Vladimir Tonchev

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Some new Kirkman signal sets, Jezerca Hodaj, Melissa S. Keranen, Donald L. Kreher, and Leah C. Tollefson

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On classifying Steiner triple systems by their 3-rank, Dieter Jungnickel, Spyros Magliveras, Vladimir Tonchev, and Alfred Wassermann

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A Generalization of the Hamilton–Waterloo Problem on Complete Equipartite Graphs, Melissa S. Keranen and Adrian Pastine

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Local Discontinuous Galerkin Method for the Keller-Segel Chemotaxis Model, Xingjie Helen Li, Chi Wang Shu, and Yang Yang

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Neumann–Neumann waveform relaxation algorithm in multiple subdomains for hyperbolic problems in 1D and 2D, Bankim C. Mandal

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Unimodal Gorenstein h-vectors without the Stanley–Iarrobino property, Juan Migliore and Fabrizio Zanello

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Pipeline implementations of Neumann–Neumann and Dirichlet–Neumann waveform relaxation methods, Benjamin W. Ong and Bankim Mandal

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Significance of variable selection and scaling issues for probabilistic modeling of rainfall-induced landslide susceptibility, Thomas Oommen, Patrice F. Cobin, John S. Gierke, and K. S. Sajinkumar

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An involution inequality for the kullback-leibler divergence, Iosif Pinelis

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Approximating sums by integrals only: multiple sums and sums over lattice polytopes, Iosif Pinelis

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On the Berry-Esseen Bound for the Student Statistic, Iosif Pinelis

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On the Nonuniform Berry-Esseen Bound, Iosif Pinelis

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Linearly embeddable designs, Vladimir Tonchev

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On resolvable Steiner 2-designs and maximal arcs in projective planes, Vladimir Tonchev

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Bound-Preserving High-Order Schemes, Z. Xu and X. Zhang

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Detecting association of rare and common variants based on cross-validation prediction error, Xinlan Yang, Shuaichen Wang, Shuanglin Zhang, and Qiuying Sha

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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

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Reconstruction of a penetrable obstacle in periodic waveguides, Ruming Zhang, Jiguang Sun, and Chunxiong Zheng

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

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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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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