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 projection based variational multiscale method for a fluid–fluid interaction problem, Mustafa Aggul, Fatma G. Eroglu, Songül Kaya, and Alexander E. Labovsky

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Fast acoustic source imaging using multi-frequency sparse data, Ala Mahmood Nahar Al Zaalig, Guanghui Hu, Xiaodong Liu, and Jiguang Sun

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TS(v,λ) with Cyclic 2-Intersecting Gray Codes: v≡0 or 4(mod12), John Asplund and Melissa S. Keranen

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Additive quaternary codes related to exceptional linear quaternary codes, Jürgen Bierbrauer, Stefano Marcugin, and Fernanda Pambianco

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Approximating the singular value expansion of a compact operator, Daniel Crane, Mark Gockenbach, and Matthew Jacob Roberts

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Perfect 2-colorings of the grassmann graph of planes, Stefaan DeWinter and Klaus Metsch

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Recognizing sets of generators in finite polar spaces, Stefaan DeWinter and Jeroen Schillewaert

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A second order decoupled penalty projection method based on deferred correction for MHD in Elsässer variable, Dilek Erkmen, Songul Kaya, and Aytekin Çıbık

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Maximal arcs, codes, and new links between projective planes of order 16, Mustafa Gezek, Rudi Mathon, and Vladimir Tonchev

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

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High-order bound-preserving finite difference methods for miscible displacements in porous media, Hui Guo, Xinyuan Liu, and Yang Yang

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Computation of interior elastic transmission eigenvalues using a conforming finite element and the secant method, Xia Ji, Peijun Li, and Jiguang Sun

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Uniformly resolvable decompositions of Kv in 1-factors and 4-stars, Melissa S. Keranen, Donald L. Kreher, Salvatore Milici, and Antoinette Tripodi

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

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Towards an adaptive treecode for N-body problems, Benjamin W. Ong and Satyen Dhamankar

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Clarifiable Ambiguity in Classroom Mathematics Discourse, Blake E. Peterson, Keith R. Leatham, Lindsay M. Merrill, Laura R. Van Zoest, and Shari L. Stockero

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An asymptotically optimal transform of Pearson’s correlation statistic, Iosif Pinelis

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Odd–even decomposition of functions, Iosif Pinelis

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Complex variables and analytic functions : an illustrated introduction, Cecile M. Piret

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Teachers’ orientations toward using student mathematical thinking as a resource during whole-class discussion, Shari L. Stockero, Keith R. Leatham, Mary A. Ochieng, Laura R. Van Zoest, and Blake E. Peterson

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Teachers’ responses to instances of student mathematical thinking with varied potential to support student learning, Shari L. Stockero, Laura R. Van Zoest, Ben Freeburn, Blake E. Peterson, and Keith R. Leatham

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Special topic on food and fluids, Franz X. Tanner and Kathleen Feigl

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An h−adaptive local discontinuous Galerkin method for simulating wormhole propagation with Darcy–Forcheiner model, Lulu Tian, Hui Guo, Rui Jia, and Yang Yang

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New necessary conditions on (negative) Latin square type partial difference sets in abelian groups, Zeying Wang

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A new finite element approach for the Dirichlet eigenvalue problem, Wenqiang Xiao, Bo Gong, Jiguang Sun, and Zhimin Zhang

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Test Gene-Environment Interactions for Multiple Traits in Sequencing Association Studies., Jianjun Zhang, Qiuying Sha, Han Hao, Shuanglin Zhang, Xiaoyi Raymond Gao, and Xuexia Wang

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Testing gene-environment interactions for rare and/or common variants in sequencing association studies., Zihan Zhao, Jianjun Zhang, Qiuying Sha, and Han Hao

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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Sequencing partial Steiner triple systems, Brian Alspach, Donald L. Kreher, and Adrian Pastine

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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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Linear codes of 2-designs associated with subcodes of the ternary generalized Reed–Muller codes, Cunsheng Ding, Chunming Tang, and Vladimir Tonchev

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Revisiting the Jones eigenproblem in fluid-structure interaction, Sebastián Domínguez, Nilima A. Nigam, and Jiguang Sun

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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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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 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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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

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

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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