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

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Submissions from 2020

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A shifted-inverse adaptive multigrid method for the elastic eigenvalue problem, Bo Gong, Jiayu Han, Jiguang Sun, and Zhimin Zhang

Submissions from 2019

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Assessment of post-wildfire debris flow occurrence using classifier tree, Priscilla Addison, Thomas Oommen, and Qiuying Sha

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Characterization of peristaltic flow during the mixing process in a model human stomach, Samer Alokaily, Kathleen Feigl, and Franz X. Tanner

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On factor-invariant graphs, Brian Alspach, Afsaneh Khodadadpour, and Donald L. Kreher

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On factor-invariant graphs, Brian Alspach, Afsaneh Khodadadpour, and Donald L. Kreher

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Revisionist integral deferred correction with adaptive step-size control, Andrew Christlieb, Colin B. Macdonald, Benjamin W. Ong, and Raymond J. Spiteri

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Fourier analysis of local discontinuous Galerkin methods for linear parabolic equations on overlapping meshes, Nattaporn Chuenjarern and Yang Yang

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A result on polynomials derived via graph theory, Robert S. Coulter, Stefaan DeWinter, Alex Kodess, and Felix Lazebnik

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Cyclotomic trace codes, Dean Crnkovic, Andrea Svob, and Vladimir Tonchev

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Maximal arcs and extended cyclic codes, Stefaan DeWinter, Cunsheng Ding, and Vladimir Tonchev

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Robust meta-analysis of biobank-based genome-wide association studies with unbalanced binary phenotypes., Rounak Dey, Jonas B Nielsen, Lars G Fritsche, Wei Zhou, Huanhuan Zhu, Cristen J Willer, and Seunggeun Lee

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Robust meta‐analysis of biobank‐based genome‐wide association studies with unbalanced binary phenotypes, Rounek Dey, Jonas B. Nielsen, Lars G. Fritsche, Wei Zhou, Huanhuan Zhu, Cristen J. Willer, and Seunggeun Lee

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Third-order conservative sign-preserving and steady-state-preserving time integrations and applications in stiff multispecies and multireaction detonations, Jie Du and Yang Yang

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Stability analysis and error estimates of local discontinuous Galerkin methods for convection–diffusion equations on overlapping meshes, Jie Du, Yang Yang, and Eric Chung

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Interior estimates of semidiscrete finite element methods for parabolic problems with distributional data, Li Guo, Hengguang Li, and Yang Yang

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Universal rank-order transform to extract signals from noisy data, Glenn Ierley and Alexander Kostinski

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Assessing the likelihood of having false positives caused by population stratification, Renfang Jiang and Jianping Dong

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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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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 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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Spectral indicator method for a son-selfadjoint Steklov eigenvalue problem, J. Liu, J. 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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An optimal upper bound on the tail probability for sums of random variables, Iosif Pinelis

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Exact upper and lower bounds on the misclassification probability, 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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A curl-conforming weak Galerkin method for the quad-curl problem, Jiguang Sun, Qian Zhang, and Zhimin Zhang

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New necessary conditions on 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

Submissions from 2018

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

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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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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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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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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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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

Submissions from 2017

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

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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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Linearly embeddable designs, Vladimir Tonchev

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

Submissions from 2016

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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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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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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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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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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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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

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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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