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

Follow

Submissions from 2017

Link

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

Link

A Generalization of the Hamilton–Waterloo Problem on Complete Equipartite Graphs, Melissa S. Keranen and Adrian Pastine

Link

Local Discontinuous Galerkin Method for the Keller-Segel Chemotaxis Model, Xingjie Helen Li, Chi Wang Shu, and Yang Yang

Link

Neumann–Neumann waveform relaxation algorithm in multiple subdomains for hyperbolic problems in 1D and 2D, Bankim C. Mandal

Link

Unimodal Gorenstein h-vectors without the Stanley–Iarrobino property, Juan Migliore and Fabrizio Zanello

Link

Pipeline implementations of Neumann–Neumann and Dirichlet–Neumann waveform relaxation methods, Benjamin W. Ong and Bankim Mandal

Link

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

Link

An involution inequality for the kullback-leibler divergence, Iosif Pinelis

Link

Approximating sums by integrals only: multiple sums and sums over lattice polytopes, Iosif Pinelis

Link

On the Berry-Esseen Bound for the Student Statistic, Iosif Pinelis

Link

On the Nonuniform Berry-Esseen Bound, Iosif Pinelis

Link

Linearly embeddable designs, Vladimir Tonchev

Link

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

Link

Bound-Preserving High-Order Schemes, Z. Xu and X. Zhang

Link

Detecting association of rare and common variants based on cross-validation prediction error, Xinlan Yang, Shuaichen Wang, Shuanglin Zhang, and Qiuying Sha

PDF

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

Link

Conservative Local Discontinuous Galerkin Method for Compressible Miscible Displacements in Porous Media, Fan Yu, Hui Guo, Nattaporn Chuenjarern, and Yang Yang

Link

Reconstruction of a penetrable obstacle in periodic waveguides, Ruming Zhang, Jiguang Sun, and Chunxiong Zheng

Works from 2016

Link

Projective polynomials, a projection construction and a family of semifields, Jürgen Bierbrauer

Link

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

Link

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

Link

Automorphisms of strongly regular graphs with applications to partial difference sets, Stefaan DeWinter, Ellen Kamischke, and Zeying Wang

Link

Classification of partial difference sets in Abelian groups of order 4p^2, Stefaan DeWinter and Zeying Wang

Link

C0IP Methods for the Transmission Eigenvalue Problem, Hongrui Geng, Xia Ji, Jiguang Sun, and Liwei Xu

PDF

Generalizing the GSVD, Mark Gockenbach

Link

Linear Inverse Problems and Tikhonov Regularization, Mark Gockenbach

Link

Parallel hybrid bispectrum-multi-frame blind deconvolution image reconstruction technique, Solmaz Hajmohammadi, Saeid Nooshabadi, Glen E. Archer, Jeremy P. Bos, and Allan Struthers

Link

The weight distribution of the self-dual [ 128 , 64 ] polarity design code, Masaaki Harada, Ethan Novak, and Vladimir Tonchev

Link

C0IPG for a Fourth Order Eigenvalue Problem, Xia Ji, Hongrui Geng, Jiguang Sun, and Liwei Xu

Link

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

Link

Magnetohydrodynamic Flows: Boussinesq Conjecture, Alexander Labovsky and William Layton

Link

AESvisual: A visualization tool for the AES cipher, Jun Ma, Jun Tao, Jean Mayo, Ching-Kuang Shene, Melissa Karanen, and Chaoli Wang

Link

Stanley's nonunimodal Gorenstein h-vector is optimal, Juan Migliore and Fabrizio Zanello

Link

Pipeline schwarzwaveform relaxation, Benjamin Ong, Scott High, and Felix Kwok

Link

A new family of regularized kernels for the harmonic oscillator, Benjamin W. Ong, Andrew Christlieb, and Bryan D. Quaife

Link

Algorithm 965: RIDC methods: A family of parallel time integrators, Benjamin W. Ong, Ronald D. Haynes, and Kyle Ladd

Link

Explicit additive decomposition of norms on ℝ 2 , Iosif Pinelis

PDF

On a multidimensional spherically invariant extension of the Rademacher-Gaussian comparison, Iosif Pinelis

Link

On the extreme points of moments sets, Iosif Pinelis

PDF

Optimal binomial, Poisson, and normal left-tail domination for sums of nonnegative random variables, Iosif Pinelis

Link

Unimodality of certain parametric integrals, Iosif Pinelis

Link

A Radial basis function based frames strategy for bypassing the Runge phenomenon, Cecile M. Piret

Link

Fast RBF OGr for solving PDEs on arbitrary surfaces, Cecile M. Piret and Jarrett Dunn

Link

An Explicit High-Order Single-Stage Single-Step Positivity-Preserving Finite Difference WENO Method for the Compressible Euler Equations, David C. Seal, Qi Tang, Zhengfu Xu, and Andrew J. Christlieb

Link

Some asymptotic results on q-binomial coefficients, Richard Stanley and Fabrizio Zanello

Link

A mixed FEM for the quad-curl eigenvalue problem, Jiguang Sun

Link

Bayesian analysis of Birnbaum–Saunders distribution via the generalized ratio-of-uniforms method, Min Wang, Xiaoqian Sun, and Chanseok Park

Link

The Absolute Beginners Guide to Coding Using Scratch, Nicole Yarroch and Leo C. Ureel II

Link

A spectral projection method for transmission eigenvalues, Fang Zeng, Ji Guang Sun, and Li Wei Xu

Works from 2015

Link

C0 interior penalty galerkin method for biharmonic eigenvalue problems, Susanne C. Brenner, Peter Monk, and Jiguang Sun

Link

High Order Parametrized Maximum-principle-preserving and Positivity-preserving WENO Schemes on Unstructured Meshes, Andrew J. Christlieb, Yuan Liu, Qi Tang, and Zhengfu Xu

Link

New symmetric (61,16,4) designs obtained from codes, Dean Crnkovic, Sanja Rukavina, and Vladimir Tonchev

Link

Linear representations of subgeometries, Stefaan De Winter, Sara Rottey, and Geertrui Van de Voorde

Link

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

Link

Positivity Preserving High-order Local Discontinuous Galerkin Method for Parabolic Equations with Blow-up Solutions, Li Guo and Yang Yang

Link

Local Discontinuous Galerkin Methods for the Functionalized Cahn–Hilliard Equation, Ruihan Guo, Yan Xu, and Zhengfu Xu

Link

Maximal arcs and quasi-symmetric designs, Dieter Jungnickel and Vladimir Tonchev

Link

A defect correction approach to turbulence modeling, Alexander E. Labovsky

Link

A topological dichotomy with applications to complex analysis, Iosif Pinelis

Link

Geometrically convergent sequences of upper and lower bounds on the Wallis ratio and related expressions, Iosif Pinelis

Link

On the Hölder and Cauchy-Schwarz inequalities, Iosif Pinelis

Link

Relations between the first four moments, Iosif Pinelis

Link

On quasi-symmetric 2-(64, 24, 46) designs derived from codes, B. G. Rodrigues and Vladimir Tonchev

PDF

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

Link

Unimodality of partitions with distinct parts inside Ferrers shapes, Richard Stanley and Fabrizio Zanello

Link

The modified Weibull geometric distribution, Min Wang and Ibrahim Elbatal

Link

Bayesian structured variable selection in linear regression models, Min Wang, Xiaoqian Sun, and Tao Lu

Link

A powerful approach to test an optimally weighted combination of rare variants in admixed populations, Xuexia Wang, Shuanglin Zhang, Yun Li, Mingyao Li, and Qiuying Sha

Link

Automorphisms of strongly regular graphs and PDS in Abelian groups, Zeying Wang, Stefaan DeWinter, and Ellen Kamischke

Link

Analysis of sharp superconvergence of local discontinuous galerkin method for one-dimensional linear parabolic equations, Yang Yang and Chi Wang Shu

Link

On the number of odd values of the Klein j-function and the cubic partition function, Fabrizio Zanello

Link

Zeilberger's KOH theorem and the strict unimodality of q-binomial coefficients, Fabrizio Zanello

Link

Some results on electromagnetic transmission eigenvalues, Fang Zeng, Tiara Turner, and Jiguang Sun

Works from 2014

Link

Vertex-transitive graphs of prime-squared order are Hamilton-decomposable, Brian Alspach, Darryn Bryant, and Donald L. Kreher

Link

A cost based reweighted scheme of principal support vector machine, Andreas Artemiou and Min Shu

Link

The structure of quaternary quantum caps, Jürgen Bierbrauer, Daniele Bartoli, Giorgio Faina, Stefano Marcugini, Fernanda Pambianco, and Yves Edel

Link

On the weak Lefschetz property for artinian Gorenstein algebras of codimension three, Mats Boij, Juan Migliore, Rosa Miro-Roig, Uwe Nagel, and Fabrizio Zanello

Link

The nonexistence of (18,3,18,6) relative difference sets, David C. Clark and Vladimir Tonchev

Link

Effect of Flow type, Channel Height, and Viscosity on Drop Production from Micro-pores, Kathleen Feigl, Franz X. Tanner, Sebastian Holzapfel, and Erich J. Windhab

Link

A combined mixed finite element method and local discontinuous Galerkin method for miscible displacement problem in porous media, Hui Guo, Qing Hua Zhang, and Yang Yang

Link

Discrete mass conservation for porous media saturated flow, Eleanor W. Jenkins, Chris Paribello, and Nicholas E. Wilson

Link

A multigrid method for Helmholtz transmission eigenvalue problems, Xia Ji, Jiguang Sun, and Hehu Xie

Link

Parametrized maximum principle preserving flux limiters for high order schemes solving multi-dimensional scalar hyperbolic conservation laws, Chao Liang and Zhengfu Xu

Link

The Effect of Gravity on the Stability of an Evaporating Liquid Film, Aneet D. Narendranath, James C. Hermanson, Robert W. Kolkka, Allan Struthers, and Jeffrey S. Allen

Link

Two unfortunate properties of pure f-vectors, Adrian Pastine and Fabrizio Zanello

PDF

An optimal three-way stable and monotonic spectrum of bounds on quantiles: A spectrum of coherent measures of financial risk and economic inequality, Iosif Pinelis

Link

A Novel Test for Testing the Optimally Weighted Combination of Rare and Common Variants Based on Data of Parents and Affected Children, Qiuying Sha and Shuanglin Zhang

Link

A Rare Variant Association Test Based on Combinations of Single-Variant Tests, Qiuying Sha and Shuanglin Zhang

Link

On the rank function of a differential poset, Richard Stanley and Fabrizio Zanello

The existence of optimal quaternary [28,20,6] and quantum [[28,12,6]] codes, Vladimir Tonchev

Link

On the Well-Posedness and Conservation Laws of a Family of Multiscale Deconvolution Models for the Magnetohydrodynamics Equations, Nicholas E. Wilson

Link

High Order Maximum Principle Preserving Semi-Lagrangian Finite Difference WENO Schemes for the Vlasov Equation, Tao Xiong, Jing Mei Qiu, Zhengfu Xu, and Andrew Christlieb

Link

A Positivity-Preserving Semi-Implicit Discontinuous Galerkin Scheme for Solving Extended Magnetohydrodynamics Equations, Xuan Zhao, Yang Yang, and Charles E. Seyler

Works from 2013

Link

On the unconditionally gradient stable scheme for the cahn-hilliard equation and its implementation with fourier method, Andrew Christlieb, Keith Promislow, and Zhengfu Xu

Link

A new class of majority-logic decodable codes derived from polarity designs, David C. Clark and Vladimir Tonchev

PDF

Enumeration of (16,4,16,4) relative difference sets, David C. Clark and Vladimir Tonchev

Link

An equation error approach for the elasticity imaging inverse problem for predicting tumor location, E. Crossen, Mark Gockenbach, Baasansuren Jadamba, Akhtar A. Khan, and Brian Winkler

Link

A direct product construction for high-rate self-synchronizing codes, Yuichiro Fujiwara and Vladimir Tonchev

Link

High-rate self-synchronizing codes, Yuichiro Fujiwara and Vladimir Tonchev

PDF

Algebraic techniques in designing quantum synchronizable codes, Yuichiro Fujiwara, Vladimir Tonchev, and Tony Wong