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

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Works from 2021

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Higher temporal accuracy for LES-C turbulence models, Yasasya Batugedara, Alexander E. Labovsky, and Kyle J. Schwiebert

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Strongly regular graphs with parameters (81, 30, 9, 12) and a new partial geometry, Dean Crnković, Andrea Švob, and Vladimir Tonchev

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Results on partial geometries with an abelian Singer group of rigid type, Stefaan DeWinter, Ellen Kamischke, Eric J. Neubert Jr, and Zeying Wang

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On partial geometries arising from maximal arcs, Mustafa Gezek and Vladimir Tonchev

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Long short-term memory recurrent neural network for pharmacokinetic-pharmacodynamic modeling, Xiangyu Liu, Chao Liu, Ruihao Huang, Hao Zhu, Qi Liu, Sunanda Mitra, and Yaning Wang

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An Actuarial Framework for Power System Reliability Considering Cybersecurity Threats, Zhaoxi Liu, Wei Wei, Lingfeng Wang, Chee Wooi Ten, and Yeonwoo Rho

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EXACT LOWER BOUND on AN 'EXACTLY ONE' PROBABILITY, Iosif Pinelis

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Monotonicity properties of the gamma family of distributions, Iosif Pinelis

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On the parity of the number of partitions with odd multiplicities, James A. Sellers and Fabrizio Zanello

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A local discontinuous Galerkin method for pattern formation dynamical model in polymerizing action flocks, Lulu Tian, Xiuhui Guo, Hui Guo, Maosheng Jiang, Yang Yang, and Jiansong Zhang

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Conceptualizing important facets of teacher responses to student mathematical thinking, Laura R. Van Zoest, Blake E. Peterson, Annick O.T. Rougée, Shari L. Stockero, Keith R. Leatham, and Ben Freeburn

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Finite Element Calculation of Photonic Band Structures for Frequency Dependent Materials, Wenqiang Xiao, Bo Gong, Jiguang Sun, and Zhimin Zhang

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Bayesian quantile semiparametric mixed-effects double regression models, Duo Zhang, Liucang Wu, Keying Ye, and Min Wang

Works 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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Validation of the revised 8th AJCC breast cancer clinical prognostic staging system: analysis of 5321 cases from a single institution, Rana Aldrees, Xiaoqing Gao, Kui Zhang, Gene P. Siegal, and Shi Wei

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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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Article the singular value expansion for arbitrary bounded linear operators, Daniel K. Crane and Mark S. Gockenbach

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

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MF-TOWmuT: Testing an optimally weighted combination of common and rare variants with multiple traits using family data, Cheng Gao, Qiuying Sha, Shuanglin Zhang, and Kui Zhang

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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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Evolution of Inquiry Questions in a Cyclic Professional Development Program, John Gruver and Janet Bowers

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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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A novel approach for personalized response model: deep learning with individual dropout feature ranking, Ruihao Huang, Qi Liu, Ge Feng, Yaning Wang, Chao Liu, Mathangi Gopalakrishnan, Xiangyu Liu, Yutao Gong, and Hao Zhu

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Detection of unknown signals in arbitrary noise, Glenn Ierley and Alexander Kostinski

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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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Restricted k-color partitions, II, William Keith

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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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A fast algorithm for computing a matrix transform used to detect trends in noisy data, Dan Kestner, Glenn Ierley, and Alex Kostinski

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Crash Risk-Based Prioritization of Basic Safety Message in DSRC, Seungmo Kim and Byung Jun Kim

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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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Approximate deconvolution with correction: A member of a new class of models for high reynolds number flows, Alexander E. Labovsky

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Ternary codes, biplanes, and the nonexistence of some quasisymmetric and quasi-3 designs, Akihiro Munemasa and Vladimir D. Tonchev

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

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Applications of time parallelization, Benjamin W. Ong and Jacob B. Schroder

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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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Exact upper bound on the sum of squared nearest-neighbor distances between points in a rectangle, Iosif Pinelis

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Identities and inequalities for the cosine and sine functions, Iosif Pinelis

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Monotonicity properties of the Poisson approximation to the binomial distribution, Iosif Pinelis

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Odd–even decomposition of functions, Iosif Pinelis

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Transferability of teacher noticing, Shari L. Stockero

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

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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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The hybrid dimensional representation of permeability tensor: A reinterpretation of the discrete fracture model and its extension on nonconforming meshes, Ziyao Xu and Yang Yang

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Measuring Systemic Risk of Switching Attacks Based on Cybersecurity Technologies in Substations, Koji Yamashita, Chee Wooi Ten, Yeonwoo Rho, Lingfeng Wang, Wei Wei, and Andrew Ginter

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Premium calculation for insurance businesses based on cyber risks in IP-Based power substations, Zhiyuan Yang, Yun Liu, Meghan Campbell, Chee Wooi Ten, Yeonwoo Rho, Lingfeng Wang, and Wei Wei

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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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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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Parameter-expanded data augmentation for analyzing correlated binary data using multivariate probit models, Xiao Zhang

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Conservative discontinuous Galerkin methods for the nonlinear Serre equations, Jianli Zhao, Qian Zhang, Yang Yang, and Yinhua Xia

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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

Works 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