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

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Works from 2024

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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

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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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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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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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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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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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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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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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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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

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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Optimal Additive Quaternary Codes of Low Dimension, Jürgen Bierbrauer, Stefano Marcugini, and Fernanda Pambianco

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

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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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HB-PLS: A statistical method for identifying biological process or pathway regulators by integrating Huber loss and Berhu penalty with partial least squares regression, Wenping Deng, Kui Zhang, Cheng He, Sanzhen Liu, and Hairong Wei

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

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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

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High-Order Bound-Preserving Finite Difference Methods for Multispecies and Multireaction Detonations, Jie Du and Yang Yang

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

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

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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

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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

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

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Part-Frequency Matrices, II: Recent Work, William Keith

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Parity of the coefficients of certain eta-quotients, William J. Keith and Fabrizio Zanello

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

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

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

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

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

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

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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

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Characterization of groups of involutions by means of composite functional equations in two variables, I. Pinelis

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

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

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

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Modulus of continuity of the quantum f-entropy with respect to the trace distance, Iosif Pinelis

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Monotonicity preservation properties of kernel regression estimators, 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