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

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Submissions from 2019

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The classification of Steiner triple systems on 27 points with 3-rank 24, Dieter Jungnickel, Spyros Magliveras, Vladimir Tonchev, and Alfred Wassermann

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Counting Steiner triple systems with classical parameters and prescribed rank, Dieter Jungnickel and Vladimir Tonchev

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Families of major index distributions: Closed forms and unimodality, William Keith

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On the Hamilton-Waterloo problem: the case of two cycles sizes of different parity, Melissa S. Keranen and Adrian Pastine

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Exact lower bounds for the agnostic probably-approximately-correct (PAC) machine learning model, Aryeh Kontorovich and Iosif Pinelis

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Block-avoiding sequencings of points in Steiner triple systems, Donald L. Kreher and Douglas R. Stinson

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Block-avoiding point sequencings of directed triple systems, Donald L. Kreher, Douglas Stinson, and Shannon Veitch

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Block-avoiding sequencings of points in Steiner triple systems, Donald L. Kreher and Douglas R. Stnson

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Numerical solution of space-time fractional PDEs using RBF-QR and Chebyshev polynomials, Sushil Kumar and Cecile M. Piret

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Schwarz waveform relaxation with adaptive pipelining, Felix Kwok and Benjamin W. Ong

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Extended sampling method for inverse elastic scattering problems using one incident wave, J. Liu, X. Liu, and J. Sun

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Spectral indicator method for a non-sefladjoint Steklov eigenvalue problem, J. Liu, Jie Sun, and T. Turner

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An inverse medium problem using Stekloff eigenvalues and a Bayesian approach, Juan Liu, Yanfang Liu, and Jiguang Sun

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Joint analysis of multiple phenotypes using a clustering linear combination method based on hierarchical clustering., Xueling Li, Shuanglin Zhang, and Qiuying Sha

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Synchronous and metachronous bilateral breast cancer: clinicopathologic characteristics and prognostic outcomes, Smitha Mruthyunjayappa, Kui Zhang, Lanjing Zhang, Isam-Eldin A. Eltoum, Gene P. Siegal MD, and Shi Wei

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Proof of the Gorenstein interval conjecture in low socle degree, Sung Gi Park, Richard Stanley, and Fabrizio Zanello

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A least-squares implicit RBF-FD closest point method and applications to PDEs on moving surfaces, A. Petras, L. Ling, Cecile M. Piret, and S. J. Ruuth

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A necessary and sufficient condition on the stability of the infimum of convex functions, Iosif Pinelis

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An optimal upper bound on the tail probability for sums of random variables, Iosif Pinelis

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A simple and more general approach to Stokes’ theorem, Iosif Pinelis

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Exact Bounds on the Inverse Mills Ratio and Its Derivatives, Iosif Pinelis

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Exact bounds on the zeros of solutions of second–order differential inequalities, Iosif Pinelis

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Exact upper and lower bounds on the misclassification probability, Iosif Pinelis

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Excess versions of the Minkowski and Hölder inequalities, Iosif Pinelis

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Nonnegative sum-symmetric matrices and optimal-score partitions, Iosif Pinelis

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The radical basis functions method for improved numerical approximations of geological processes in heterogeneous systems, Cecile M. Piret, Neluka Dissanayake, John S. Gierke, and Bengt Fornberg

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A generalization of a 1998 unimodality conjecture of Reiner and Stanton, Richard P. Stanley and Fabrizio Zanello

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A note on the asymptotics of the number of O-sequences of given length, Richard Stanley and Fabrizio Zanello

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Differential equations, Allan Struthers and Merle Potter

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Inductive Formulas Related to Prime Partitions, Jie Sun and Kyle Sutela

A curl-conforming weak Galerkin method for the quad-curl problem, Jiguang Sun, Qian Zhang, and Zhimin Zhang

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A curl-conforming weak Galerkin method for the quad-curl problem, Jiguang Sun, Qian Zhang, and Zhimin Zhang

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Bayesian t-tests for correlations and partial correlations, Min Wang, Fang Chen, Tao Lu, and Jianping Dong

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New necessary conditions on Paley‐type partial difference sets in abelian groups, Zeying Wang

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Paley type partial difference sets in abelian groups, Zeying Wang

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Euler’s partition theorem for all moduli and new companions to Rogers–Ramanujan–Andrews–Gordon identities, Xinhua Xiong and William Keith

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Precipitation hardening via chemically ordered L12 precipitates in Al-Sc-Zr Alloys - New insights using combined STEM and EDS study, Yang Yang, Amlan Mukherjee, and Paul G. Sanders

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A gene based approach to test genetic association based on an optimally weighted combination of multiple traits., Jianjun Zhang, Qiuying Sha, Guanfu Liu, and Xuexia Wang

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A general statistic to test an optimally weighted combination of common and/or rare variants., Jianjun Zhang, Baolin Wu, Qiuying Sha, Shuanglin Zhang, and Xuexia Wang

Works from 2018

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Itinéraire d’un sociologue global, Sébastien Antoine, Cecile M. Piret, and François Rinschbergh

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A family of semifields in odd characteristic, Jürgen Bierbrauer, Daniele Bartoli, Giorgio Faina, Stefano Marcugini, and Fernanda Pambianco

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Effect of intraoperative or postoperative intravenous acetaminophen on postoperative pain scores and opioid requirements in abdominal and spinal surgery patients, Xuezhao Cao, Roya Yumul, Ofelia Loani Elvir Lazo, Joseph Stuart, Asmik Asatrian, Xiao Zhang, and et al.

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Non-existence of partial difference sets in Abelian groups of order 8p3, Stefaan DeWinter and Zeying Wang

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All binary linear codes that are invariant under PSL2(n), Cunsheng Ding, Hao Liu, and Vladimir Tonchev

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Maximal arcs in projective planes of order 16 and related designs, Mustafa Gezek, Vladimir Tonchev, and Tim Wagner

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On the convergence of a heuristic parameter choice rule for Tikhonov regularization, Mark Gockenbach and Elaheh Gorgin

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Approximating the generalized singular value expansion, Mark Gockenbach and Matthew J. Roberts

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Recursive integral method with Cayley transformation, R. Huang, Jiguang Sun, and C. Yang

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On the density of the odd values of the partition function, Samuel Judge, William Keith, and Fabrizio Zanello

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On the density of the odd values of the partition function, II: An infinite conjectural framework, Samuel Judge and Fabrizio Zanello

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On Bonisoli’s theorem and the block codes of Steiner triple systems, Dieter Jungnickel and Vladimir Tonchev

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The classification of antipodal two-weight linear codes, Dieter Jungnickel and Vladimir Tonchev

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Extension sets, affine designs, and Hamada’s conjecture, Dieter Jungnickel, Yue Zhou, and Vladimir Tonchev

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Bayesian variance changepoint detection in linear models with symmetric heavy-tailed errors, Shuaimin Kang, Guangying Liu, Howard Qi, and Min Wang

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Computing minimum rainbow and strong rainbow colorings of block graphs, Melissa Karanen and Juho Lauri

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Partitions into Parts Simultaneously Regular, Distinct, And/or Flat, William Keith

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Comparison of AJCC anatomic and clinical prognostic stage groups in breast cancer: Analysis of 3322 cases from a single institution, Ashish Kurundkar, Xiaoqing Gao, Kui Zhang, Jacob P Britt, Gene P Siegal, and Shi Wei

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A hierarchical clustering method for dimension reduction in joint analysis of multiple phenotypes, Xiaoyu Liang, Qiuying Sha, Yeonwoo Rho, and Shuanglin Zhang

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Extended sampling method in inverse scattering, Juan Liu and Jiguang Sun

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Data recovery in inverse scattering: From limited-aperture to full-aperture, Xiaodong Liu and Jiguang Sun

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On the choice of instruments in mixed frequency specification tests, Yun Liu and Yeonwoo Rho

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An alternative to the Euler–Maclaurin summation formula: approximating sums by integrals only, Iosif Pinelis

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Measure extension by local approximation, Iosif Pinelis

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Positive-part moments via characteristic functions, and more general expressions, Iosif Pinelis

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A clustering linear combination approach to jointly analyze multiple phenotypes for GWAS, Qiuying Sha, Zhenchuan Wang, Xiao Zhang, and Shuanglin Zhang

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Through-wall detection of the moving paths and vital signs of human beings, Kun Wang, Zhaofa Zeng, and Jiguang Sun

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

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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An algebraic approach to finite projective planes, David Cook III, Juan Migliore, Uwe Nagel, and Fabrizio Zanello