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

Follow

Works from 2021

Link

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

Link

An Eulerian-Lagrangian discontinuous Galerkin method for transport problems and its application to nonlinear dynamics, Xiaofeng Cai, Jing Mei Qiu, and Yang Yang

Link

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

Link

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

Link

The projective general linear group PGL (2 , 2 m) and linear codes of length 2 m+ 1, Cunsheng Ding, Chunming Tang, and Vladimir Tonchev

Link

Investigation of the dispersing characteristics of antral contraction wave flow in a simplified model of the distal stomach, D. Dufour, F. X. Tanner, K. A. Feigl, and E. J. Windhab

Link

A simplified breast cancer prognostic score: comparison with the AJCC clinical prognostic staging system, Fei Fei, Kui Zhang, Gene P. Siegal, and Shi Wei

Link

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

Link

Conservative numerical methods for the reinterpreted discrete fracture model on non-conforming meshes and their applications in contaminant transportation in fractured porous media, Hui Guo, Wenjing Feng, Ziyao Xu, and Yang Yang

Link

Stability and error estimates of local discontinuous Galerkin method with implicit-explicit time marching for simulating wormhole propagation, Hui Guo, Rui Jia, Lulu Tian, and Yang Yang

Link

Extraction of unknown signals in arbitrary noise, Glenn Ierley and Alex Kostinski

Link

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

Link

High-Order Bound-Preserving Finite Difference Methods for Incompressible Wormhole Propagation, Xinyuan Liu, Yang Yang, and Hui Guo

Link

A deterministic-statistical approach to reconstruct moving sources using sparse partial data, Yanfang Liu, Yukun Guo, and Jiguang Sun

Link

Bayesian inversion for an inverse spectral problem of transmission eigenvalues, Yanfang Liu and Jiguang Sun

Link

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

Link

Quality-bayesian approach to inverse acoustic source problems with partial data, Zhaoxing Li, Yanfang Liu, Jiguang Sun, and Liwei Xu

Link

An extended sampling-ensemble Kalman filter approach for partial data inverse elastic problems, Zhaoxing Li, Jiguang Sun, and Liwei Xu

Link

Modeling the Growth and Spread of Infectious Diseases to Teach Computational Thinking, Meara Pellar-Kosbar, Dylan Gaines, Lauren Monroe, Alec Rospierski, Alexander Martin, Ben Vigna, Devin Stewart, Jared Perttunen, Calvin Voss, Robert Pastel, and Leo C. Ureel II

Link

Best lower bound on the probability of a binomial exceeding its expectation, Iosif Pinelis

Link

Exact converses to a reverse AM-GM inequality, with applications to sums of independent random variables and (super)martingales, Iosif Pinelis

Link

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

Link

Monotonicity preservation properties of kernel regression estimators, Iosif Pinelis

Link

Monotonicity properties of the gamma family of distributions, Iosif Pinelis

Link

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

Link

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

Link

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

Link

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

Link

Band structure calculation of photonic crystals with frequency-dependent permittivities, Wenqiang Xiao and Jiguang Sun

Link

High order sign-preserving and well-balanced exponential Runge-Kutta discontinuous Galerkin methods for the shallow water equations with friction, Ruize Yang, Yang Yang, and Yulong Xing

Link

Deducing the positive odd density of p(n) from that of a multipartition function: An unconditional proof, Fabrizio Zanello

Link

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

Works from 2020

Link

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

Link

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

Link

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

Link

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

Link

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

Link

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

PDF

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

PDF

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

Link

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

Link

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

Link

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

Link

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

Link

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

Link

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

Link

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

Link

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

Link

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

Link

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

Link

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

Link

Restricted k-color partitions, II, William Keith

PDF

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

Link

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

PDF

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

Link

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

Link

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

Link

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

Link

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

Link

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

Link

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

Link

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

Link

Exact lower and upper bounds on the incomplete gamma function, Iosif Pinelis

Link

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

Link

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

Link

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

Link

Odd–even decomposition of functions, Iosif Pinelis

Link

Transferability of teacher noticing, Shari L. Stockero

Link

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

Link

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

Link

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

Link

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

Link

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

Link

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

Link

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

Link

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

Link

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

Link

Optimal convergence and superconvergence of semi-Lagrangian discontinuous Galerkin methods for linear convection equations in one space dimension, Yang Yang, Xiaofeng Cai, and Jing Mei Qiu

Link

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

Link

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

Link

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

Link

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

Link

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

PDF

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

PDF

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

Link

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

Link

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

Link

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

Link

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

Link

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

Link

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

PDF

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

Link

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

Link

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

Link

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

Link

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

Link

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

Link

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

Link

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

PDF

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