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

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Submissions from 2024

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Hadamard Matrices of Orders 60 and 64 with Automorphisms of Orders 29 and 31, Makoto Araya, Masaaki Harada, and Vladimir Tonchev

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Validation of LES-C turbulence models, Yasasya Batugedara, Alexander E. Labovsky, and Kyle J. Schwiebert

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A new hip fracture risk index derived from FEA-computed proximal femur fracture loads and energies-to-failure, Xuewei Cao, Joyce H. Keyak, Sigurdur Sigurdsson, Chen Zhao, Weihua Zhou, Anqi Liu, Thomas F. Lang, Hong Wen Deng, Vilmundur Gudnason, and Qiuying Sha

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Low Shear in Short-Term Impacts Endothelial Cell Traction and Alignment in Long-Term, Mohanish K. Chandurkar, Nikhil Mittal, Shaina P. Royer-Weeden, Steven D. Lehmann, Yeonwoo Rho, and Sangyoon J. Han

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Low Shear in Short-Term Impacts Endothelial Cell Traction and Alignment in Long-Term, Mohanish Chandurkar, Nikhil Mittal, Shaina P. Royer-Weeden, Steven D. Lehmann, Yeonwoo Rho, and Sangyoon J. Han

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Numerical methods for reinterpreted discrete fracture models with random inputs, Huan Ding, Yang Yang, and Xinghui Zhong

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Correction to: An Oscillation-Free Bound-Preserving Discontinuous Galerkin Method for Multi-component Chemically Reacting Flows (Journal of Scientific Computing, (2023), 95, 3, (90), 10.1007/s10915-023-02217-2), Jie Du, Yong Liu, and Yang Yang

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Well-balanced positivity-preserving high-order discontinuous Galerkin methods for Euler equations with gravitation, Jie Du, Yang Yang, and Fangyao Zhu

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Deep Neural Network-Oriented Indicator Method for Inverse Scattering Problems Using Partial Data, Yule Lin, Xiaoyi Yan, Jiguang Sun, and Juan Liu

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High order positivity-preserving nodal discontinuous Galerkin methods for anisotropic diffusion problems, Xinyuan Liu, Tao Xiong, and Yang Yang

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Asymptotics of the rate function in the large deviation principle for sums of independent identically distributed random variables, Iosif Pinelis

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New examples of self-dual near-extremal ternary codes of length 48 derived from 2-(47,23,11) designs, Sanja Rukavina and Vladimir Tonchev

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Maximum-principle-preserving high-order discontinuous Galerkin methods for incompressible Euler equations on overlapping meshes, Lulu Tian, Nattaporn Chuenjarern, Hui Guo, and Yang Yang

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Integrating External Controls by Regression Calibration for Genome-Wide Association Study, Lirong Zhu, Shijia Yan, Xuewei Cao, Shuanglin Zhang, and Qiuying Sha

Works from 2023

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FLUID-FLUID INTERACTION PROBLEMS AT HIGH REYNOLDS NUMBERS: REDUCING THE MODELING ERROR WITH LES-C, Mustafa Aggul, Alexander E. Labovsky, Eda Onal, and Kyle J. Schwiebert

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A general class of Schmidt theorems, George Andrews and William Keith

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Approximate Deconvolution with Correction - A High Fidelity Model for Magnetohydrodynamic Flows at High Reynolds and Magnetic Reynolds Numbers, Yasasya Batugedara and Alexander E. Labovsky

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Constructions and bounds for codes with restricted overlaps, Simon R. Blackburn, Navid Nasr Esfahani, Donald L. Kreher, and Douglas R. Stinson

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A Simplified Finite Element Joint Model Updated with Experimental Modal Features, Jonathan K. Black, Skylar J. Callis, Aaron Feizy, Christopher Lin Johnson, Nicholas A.J. Lieven, and Manuel A. Vega

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TGPred: efficient methods for predicting target genes of a transcription factor by integrating statistics, machine learning and optimization, Xuewei Cao, Ling Zhang, Md Khairul Islam, Mingxia Zhao, Cheng He, Kui Zhang, Sanzhen Liu, Qiuying Sha, and Hairong Wei

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Divide-and-conquer DNN approach for the inverse point source problem using a few single frequency measurements, Hang Du, Zhaoxing Li, Juan Liu, Yanfang Liu, and Jiguang Sun

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An Oscillation-Free Bound-Preserving Discontinuous Galerkin Method for Multi-component Chemically Reacting Flows, Jie Du, Yong Liu, and Yang Yang

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Small Transitive Homogeneous 3-(v,{4,6},1) Designs, Michael Epstein, Donald L. Kreher, and Spyros S. Magliveras

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Sign-preserving second-order IMPEC time discretization and its application in compressible miscible displacement with Darcy-Forchheimer models, Wenjing Feng, Hui Guo, Lulu Tian, and Yang Yang

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Computation of Fractional Derivatives of Analytic Functions, Bengt Fornberg and Cecile M. Piret

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On regular d-handicap tournaments, Bryan Freyberg and Melissa S. Keranen

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A hybridizable discontinuous Galerkin method on unfitted meshes for single-phase Darcy flow in fractured porous media, Guosheng Fu and Yang Yang

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REGULAR CONVERGENCE AND FINITE ELEMENT METHODS FOR EIGENVALUE PROBLEMS, Bo Gong and Jiguang Sun

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Estimation of flaw parameters for holes in glass using maximum likelihood estimator, Nabhajit Goswami, Joshua A. Schultz, Kui Zhang, Daniel Dowden, R. Andrew Swartz, and Stephen Morse

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Classroom interactions that shape the nature of students’ appropriation of a complex mathematical practice, John Gruver and Casey Hawthorne

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POSITIVITY-PRESERVING LOCAL DISCONTINUOUS GALERKIN METHOD FOR PATTERN FORMATION DYNAMICAL MODEL IN POLYMERIZING ACTIN FLOCKS*, Xiuhui Guo, Lulu Tian, Yang Yang, and Hui Guo

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Spurious solutions for high-order curl problems, Kaibo Hu, Qian Zhang, Jiayu Han, Lixiu Wang, and Zhimin Zhang

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Schwarz Lemma for Real Harmonic Functions onto Surfaces with Non-Negative Gaussian Curvature, David Kalaj, Miodrag Mateljević, and Iosif Pinelis

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Parity of the coefficients of certain eta-quotients, II: The case of even-regular partitions, William J. Keith and Fabrizio Zanello

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Parity of the coefficients of certain eta-quotients, II: The case of even-regular partitions, William Keith and Fabrizio Zanello

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Special issue on Flow Cavitation, B. C. Khoo, A. J. Giacomin, S. G. Hatzikiriakos, K. A. Feigl, and N. Phan-Thien

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Joint semiparametric kernel network regression, Byung Jun Kim and Inyoung Kim

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Deterministic-statistical approach for an inverse acoustic source problem using multiple frequency limited aperture data, Yanfang Liu, Zhizhang Wu, Jiguang Sun, and Zhiwen Zhang

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Students’ development of mathematical meanings while participating vicariously in conversations between other students in instructional videos, Joanne Lobato, John Gruver, and Michael Foster

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Analysis of a Fourier–Galerkin Method for the Transmission Eigenvalue Problem based on a Boundary Integral Formulation, Yunyun Ma and Jiguang Sun

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Computation of scattering poles using boundary integrals, Yunyun Ma and Jiguang Sun

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ASYMPTOTIC RELATIVE EFFICIENCY OF THE KENDALL AND SPEARMAN CORRELATION STATISTICS, I. Pinelis

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AN INTERTWINED CAUCHY––SCHWARZ–TYPE INEQUALITY BASED ON A LAGRANGE–TYPE IDENTITY, Iosif Pinelis

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Blending physics in food studies, Ezgi Pulatsu and Kathleen Feigl

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Extremal ternary self-dual codes of length 36 and symmetric 2-(36, 15, 6) designs with an automorphism of order 2, Sanja Rukavina and Vladimir Tonchev

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Composition-theoretic series in partition theory, Robert Schneider and Andrew V. Sills

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A clustering linear combination method for multiple phenotype association studies based on GWAS summary statistics, Meida Wang, Xuewei Cao, Shuanglin Zhang, and Qiuying Sha

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A reinterpreted discrete fracture model for Darcy–Forchheimer flow in fractured porous media, Xinyu Wu, Hui Guo, Ziyao Xu, and Yang Yang

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Band Structure Calculations of Dispersive Photonic Crystals in 3D using Holomorphic Operator Functions, Wenqiang Xiao, Bo Gong, Junshan Lin, and Jiguang Sun

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Joint analysis of multiple phenotypes for extremely unbalanced case-control association studies, Hongjing Xie, Xuewei Cao, Shuanglin Zhang, and Qiuying Sha

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The hybrid-dimensional Darcy's law: a non-conforming reinterpreted discrete fracture model (RDFM) for single-phase flow in fractured media, Ziyao Xu, Zhaoqin Huang, and Yang Yang

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The Hybrid-Dimensional Darcy's Law: A Non-Conforming Reinterpreted Discrete Fracture Model (RDFM) for the Compressible Miscible Displacement and Multicomponent Gas Flow in Fractured Media, Ziyao Xu and Yang Yang

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On the number of even values of an eta-quotient, Fabrizio Zanello

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Nonconforming Finite Elements for the -curlΔcurl and Brinkman Problems on Cubical Meshes, Qian Zhang, Min Zhang, and Zhimin Zhang

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Multi-view information fusion using multi-view variational autoencoder to predict proximal femoral fracture load, Chen Zhao, Joyce H. Keyak, Xuewei Cao, Qiuying Sha, Li Wu, Zhe Luo, Lan Juan Zhao, Qing Tian, Michael Serou, Chuan Qiu, Kuan Jui Su, Hui Shen, Hong Wen Deng, and Weihua Zhou

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Bound-Preserving Discontinuous Galerkin Methods with Modified Patankar Time Integrations for Chemical Reacting Flows, Fangyao Zhu, Juntao Huang, and Yang Yang

Works from 2022

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Approximate deconvolution models for a fluid-fluid interaction problem with high Reynolds numbers, Mustafa Aggul and Alexander E. Labovsky

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NS-ω model for fluid–fluid interaction problems at high Reynolds numbers, Mustafa Aggul, Alexander E. Labovsky, and Kyle J. Schwiebert

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Randomized Iterative Methods for Matrix Approximation, Joy Azzam, Benjamin W. Ong, and Allan Struthers

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Note on the effect of grad-div stabilization on calculating drag and lift coefficients, Yasasya Batugedara and Kyle J. Schwiebert

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Simian Immunodeficiency Virus Infection Mediated Changes in Jejunum and Peripheral SARS-CoV-2 Receptor ACE2 and Associated Proteins or Genes in Rhesus Macaques, Nongthombam Boby, Xuewei Cao, Kelsey Williams, Shiva Kumar Goud Gadila, Monica N. Shroyer, Peter J. Didier, Sudesh K. Srivastav, Arpita Das, Kate Baker, Qiuying Sha, and Bapi Pahar

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Gene selection by incorporating genetic networks into case-control association studies, Xuewei Cao, Xiaoyu Liang, Shuanglin Zhang, and Qiuying Sha

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Gene-based association tests using GWAS summary statistics and incorporating eQTL, Xuewei Cao, Xuexia Wang, Shuanglin Zhang, and Qiuying Sha

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Maximum-Principle-Preserving Local Discontinuous Galerkin Methods for Allen-Cahn Equations, Jie Du, Eric Chung, and Yang Yang

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High-order bound-preserving discontinuous Galerkin methods for multicomponent chemically reacting flows, Jie Du and Yang Yang

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Computational investigation of drop behavior and breakup in peristaltic flow, Kathleen Feigl and Franz X. Tanner

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Computational investigation of drop behavior and breakup in peristaltic flow, Kathleen Feigl and Franz X. Tanner

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Bound-preserving discontinuous Galerkin methods with second-order implicit pressure explicit concentration time marching for compressible miscible displacements in porous media, Wenjing Feng, Hui Guo, Yue Kang, and Yang Yang

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A hybrid-mixed finite element method for single-phase Darcy flow in fractured porous media, Guosheng Fu and Yang Yang

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Groups of units of Zp[x] modulo f (x), Joseph A. Gallian, David Petrie Moulton, and Karlee Westrem

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Finite element/holomorphic operator function method for the transmission eigenvalue problem, Bo Gong, Jiguang Sun, Tiara Turner, and Chunxiong Zheng

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EXPLORING RELATIONSHIPS BETWEEN STUDENTS’ INDIVIDUAL WAYS OF REASONING AND NORMATIVE WAYS OF REASONING, John Gruver

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Endorsing: An illustrative non-example of responsive teaching, John Gruver and Casey Hawthorne

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Provable convergence of blow-up time of numerical approximations for a class of convection-diffusion equations, Hui Guo, Xueting Liang, and Yang Yang

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A method using deep learning to discover new predictors from left-ventricular mechanical dyssynchrony for CRT response, Zhuo He, Xinwei Zhang, Chen Zhao, Xing Ling, Saurabh Malhotra, Zhiyong Qian, Yao Wang, Xiaofeng Hou, Jiangang Zou, and Weihua Zhou

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Signals as departures from random walks, Glenn Ierley and Alex Kostinski

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Signals as departures from random walks, Glenn Ierley and Alex Kostinski

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On the Byzantine-Fault- Tolerant Consensus in Blockchain Built on Internet of Vehicles, Seungmo Kim and Byung Jun Kim

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A Radial Basis Function-Finite Difference and Parareal Framework for Solving Time Dependent Partial Differential Equations, Nadun Dissanayake Kulasekera Mudiyanselage, Jacob James Blazejewski, Benjamin Ong, and Cecile M. Piret

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On Infinite Families of Narrow-Sense Antiprimitive BCH Codes Admitting 3-Transitive Automorphism Groups and Their Consequences, Qi Liu, Cunsheng Ding, Sihem Mesnager, Chunming Tang, and Vladimir Tonchev

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Integral Equation Method for a Non-Selfadjoint Steklov Eigenvalue Problem, Yunyun Ma and Jiguang Sun

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Quasi-symmetric 2-(41, 9, 9) designs and doubly even self-dual codes of length 40, Akihiro Munemasa and Vladimir Tonchev

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FE-holomorphic operator function method for nonlinear plate vibrations with elastically added masses, Xiangying Pang, Jiguang Sun, and Zhimin Zhang

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Improved concentration bounds for sums of independent sub-exponential random variables, Iosif Pinelis

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Large Deviations Of Sums Mainly Due To Just One Summand, Iosif Pinelis

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Local estimators and Bayesian inverse problems with non-unique solutions, Jiguang Sun

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Stability analysis and error estimates of fully-discrete local discontinuous Galerkin methods for simulating wormhole propagation with Darcy–Forchheimer model, Lulu Tian, Hui Guo, Rui Jia, and Yang Yang

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Book Review: “Designs from Linear Codes”, second edition, by Cunsheng Ding and Chunming Tang, World Scientific, 2022, Vladimir Tonchev

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On the classification of unitals on 28 points of low rank, Vladimir Tonchev and Alfred Wassermann

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Work in Progress: The RICA Project: Rich, Immediate Critique of Antipatterns in Student Code, Leo C. Ureel II, Laura Brown, Jon Sticklen, Michelle E. Jarvie-Eggart, and Mary Benjamin

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A priori and a posteriori error estimates for the quad-curl eigenvalue problem, Lixiu Wang, Qian Zhang, Jiguang Sun, and Zhimin Zhang

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A priori and a posteriori error estimates for the quad-curl eigenvalue problem, Lixiu Wang, Qian Zhang, Jiguang Sun, and Zhimin Zhang

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Differentially Private Fractional Frequency Moments Estimation with Polylogarithmic Space, Lun Wang, Iosif Pinelis, and Dawn Song

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A computationally efficient clustering linear combination approach to jointly analyze multiple phenotypes for GWAS, Meida Wang, Shuanglin Zhang, and Qiuying Sha

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Control for population stratification in genetic association studies based on GWAS summary statistics, Shijia Yan, Qiuying Sha, and Shuanglin Zhang

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Gene-Based Association Tests Using New Polygenic Risk Scores and Incorporating Gene Expression Data, Shijia Yan, Qiuying Sha, and Shuanglin Zhang

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Partially Discontinuous Nodal Finite Elements for H (curl) and H (div), Qian Zhang, Jun Hu, and Kaibo Hu

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Three families of grad div-conforming finite elements, Qian Zhang and Zhimin Zhang

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Stability of LiNi0.8Co0.15Al0.05O2 structure in air and H2 atmospheres at elevated temperatures, Wei Zhang and Yun Hang Hu

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Fully Three-Dimensional Radial Visualization, Yifan Zhu, Fan Dai, and Ranjan Maitra