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The University of Texas at ArlingtonThe University of Texas at Arlington

College of Science

Mathematics

Department Preprint Series

2017

Report Number

Authors/Title

2017-01

Chungen Shen, Lei-Hong Zhang, and Ren-Cang Li.
"On the Generalized Lanczos Trust-Region Method"

2017-02

Tiexiang Li, Ren-Cang Li, and Yunfeng Cai.
"Perturbation Analysis for Matrix Joint Block Diagonalization"

2017-03

Linzhang Lu, Tsung-Ming Huang, Ren-Cang Li, and Wen-Wei Lin.
"Optimal Parameters for Doubling Algorithms"

2017-04

Xiangrui Dong, Shuling Tian, and Chaoqun Liu.
"DNS Study on Vorticity Structures in Late Flow Transition"

2017-05

Xiangrui Dong, Shuling Tian, and Chaoqun Liu.
"Correlation Analysis on Volume Vorticity and Vortex in Late Boundary Layer Transition"

2017-06

Shuling Tian, Yisheng Gao, Xiangrui Dong, and Chaoqun Liu.
"A Definition of Vortex Vector and Vortex"

2017-07

Xiangrui Dong, Yiqian Wang, Xiaoping Chen, and Chaoqun Liu.
"Determination of Epsilon for Omega Vortex Identification Method"

2017-08

Xin Liang, Zhen-Chen Guo, Ren-Cang Li, and Wen-Wei Lin.
"Nearly Optimal Stochastic Approximation for Online Principal Subspace Estimation"

2017-09

Yunfeng Cai, Lei-Hong Zhang, Zhaojun Bai, and Ren-Cang Li.
"On an Eigenvector-Dependent Nonlinear Eigenvalue Problem"

2016

Report Number

Authors/Title

2016-01

Wei-guo Wang, Lei-Hong Zhang, and Ren-Cang Li.
"Error Bounds For Approximate Deflating Subspaces For Linear Response Eigenvalue Problems"

2016-02

Tiexiang Li, Ren-Cang Li, and Wen-Wei Lin.
"A Symmetric Structure-Preserving Gamma-QR Algorithm for Linear Response Eigenvalue Problems"

2016-03

Linzhang Lu, Teng Wang, Yueh-Cheng Kuo, Ren-Cang Li, and Wen-Wei Lin.
"A Fast Algorithm For Fast Train Palindromic Quadratic Eigenvalue Problems"

2016-04

Jie Tang and Chaoqun Liu.
"Line Box Relaxation Method And Multigrid For Cavity And Channel Flow"

2016-05

Hassan Abd Salman Al-Dujaly and Chaoqun Liu.
"Weighted Upwinding Compact Scheme for Shock Capturing"

2016-06

Guang Yang, Jian Fang, Yufeng Yao, Lipeng Lu, and Chaoqun Liu.
"Large-Eddy Simulation of MVG Controlled Oblique Shockwave/Boundary Layer Interaction"

2016-07

Yinlin Dong, Yong Yang, and Chaoqun Liu.
"DNS Study on Three Vortex Identification Methods"

2016-08

Yong Yang and Chaoqun Liu.
"Observation Of The Development Of Lambda-Vortex To Hairpin Vortex Packet"

2016-09

Yong Yang and Chaoqun Liu.
"Spectrum Analysis Of SWBLI Under Ramp-Type MVG Control"

2016-10

Yong Yang and Chaoqun Liu.
"LES Study on Unsteadiness of Shock Boundary Layer Interaction"

2016-11

Yinlin Dong, Yong Yang, and Chaoqun Liu.
"Numerical Investigation on the Oblique Shock and High-speed Vortex Rings Interaction"

2016-12

Changli Liu and Ren-Cang Li.
"Structured Backward Error for Palindromic Polynomial Eigenvalue Problems, II: Approximate Eigentriplets"

2015

Report Number

Authors/Title

2015-01

Zhongming Teng, Linzhang Lu, and Ren-Cang Li.
"Accuracy of Rayleigh-Ritz Approximations"

2015-02

Akira Imakura, Ren-Cang Li and Shao-Liang Zhang.
"Locally Optimal and Heavy Ball GMRES Methods"

2015-03

Jie Tang, Yong Yang, and Chaoqun Liu.
"Numerical Study on Flow Stability: Pure Rotation and Shear"

2015-04

Yiqian Wang, Shuhyi Chern, and Chaoqun Liu.
"Analysis on Λ-vortex Development in a Transitional Boundary Layer"

2015-05

Yiqian Wang, Shuhyi Chern, and Chaoqun Liu.
"DNS Study on Motion around a Vortex Ring in Transitional Boundary Layers"

2015-06

Chaoqun Liu.
"Self-Contradictions in Current Turbulence Theory"

2015-07

Zhengjie Wang, Yinlin Dong, and Chaoqun Liu.
"Application of Weighted Upwind Compact Scheme for Shock Capturing"

2015-08

Yong Yang, Jie Tang, and Chaoqun Liu.
"LES Analysis on Shock-Vortex Ring Interaction"

2015-09

Yong Yang, Jie Tang, and Chaoqun Liu.
"LES Analysis on Vortex Structure after Flow Passed a Supersonic MVG"

2015-10

Chaoqun Liu and Yiqian Wang.
"Vorticity Redistribution and Vortex Ring Development Analysis in Boundary Layer Transition"

2015-11

Zhengjie Wang, Hassan Abd Salman Al-Dujaly, and Chaoqun Liu.
"Construction Methodology of Weighted Upwind Compact Scheme"

2015-12

Yinlin Dong, Hassan Abd Salman Al-Dujaly, and Chaoqun Liu.
"Solving Poisson’s Equations Using Buffered Fourier Spectral Method"

2015-13

Zhongming Teng, Linzhang Lu, and Ren-Cang Li.
"Perturbation of Partitioned Linear Response Eigenvalue Problems"

2015-14

Lei-Hong Zhang and Ren-Cang Li.
"On the Convergence of the Truncated Lanczos Approach for the Trust-Region Subproblem"

2015-15

Christopher Mitchell.
"A Comparison of Methods to Calculate the Basic Reproductive Number for Periodic Systems"

2015-16

Michael Debellevue, Isheanesu Nyangani, Dianna Nguyen, Christopher Kribs, Hristo V. Kojouharov, and James P. Grover.
"Determining Optimal Vaccination Strategies for the BCG Vaccine in Combating Tuberculosis with a Mathematical Model of Resistance and Altered Diagnosis"

2015-17

Oladipo Oyediran, Amsal Roy, Mouhamed Nashawi, Kristen Masha, James P. Grover, Christopher Kribs, and Hristo V. Kojouharov.
"The Effects of the Immune System on Bacteriophage Therapy of Cholera"

2015-18

Zhaojun Bai, Ren-Cang Li, and Wen-Wei Lin.
"Linear Response Eigenvalue Problem Solved by Extended Locally Optimal Preconditioned Conjugate Gradient Methods"

2015-19

Jungong Xue and Ren-Cang Li.
"Highly Accurate Doubling Algorithms for M-matrix Algebraic Riccati Equations"

2015-20

Brittney Cox, Christy Nguyen, and Zengxing Pang.
"Competition in the Gorgonian Dominated Florida Reefs: Modeling Alternative Dominance Scenarios"

2014

Report Number

Authors/Title

2014-01

Xin Liang and Ren-Cang Li.
"The Hyperbolic Quadratic Eigenvalue Problem"

2014-02

Linzhang Lu, Fei Yuan, and Ren-Cang Li.
"An Improved Structure-preserving Doubling Algorithm for a Structured Palindromic Quadratic Eigenvalue Problem"

2014-03

Lei-Hong Zhang, Wen-Wei Lin, and Ren-Cang Li.
"Backward Perturbation Analysis and Residual-based Error Bounds For the Linear Response Eigenvalue Problem"

2014-04

Ren-Cang Li.
"Rayleigh Quotient Based Optimization Methods For Eigenvalue Problems"

2014-05

Hasan Sumdani, Samuel Frickle, Matthew Le, Martin Tran, and Christopher Kribs Zaleta.
"Effects of Population Density on the Spread of Disease"

2014-06

A. Carter, A. Toja, O. Olawoyin, J. Gonzalez, J. Grover, H. Kojouharov, and C. Kribs Zaleta.
"A theoretical model of coinfection dynamics: Modeling competition dynamics between Borrelia burgdorferi and Anaplasma phagocytophilum within a human host"

2014-07

Yong Yang, Yonghua Yan, Chaoqun Liu.
"DNS Study on Mechanism of Chaos in Late Flow Transition"

2014-08

Chaoqun Liu, Yong Yang, Yonghua Yan.
"Optimization of MVG for Control of Shock Boundary Layer Interaction"

2014-09

Chaoqun Liu, Yonghua Yan, Yong Yang.
"DNS Study on Eddy Viscosity Turbulence Model"

2014-10

Chaoqun Liu, Yonghua Yan, Hassan Al-dujaly.
"DNS Study on Hairpin Vortex Structure in Turbulence"

2014-11

Yonghua Yan, Jie Tang, Chaoqun Liu.
"DNS Study on Small Length Scale in Turbulent Flow"

2014-12

Jie Tang, Yonghua Yan, Chaoqun Liu.
"DNS Study on Role of Linearly Unstable Modes in Flow Transition"

2014-13

Yonghua Yan and Chaoqun Liu.
"DNS Study on the Evolution of Vortical Packets and Their Interactions in Boundary Layer"

2014-14

Yong Yang, Yonghua Yan, Chaoqun Liu.
"LES Study on Mechanism of Reduction of Shock Induced Flow Separation by MVG"

2014-15

Shuh-Yi Chern, Greg Lobser, Michael Schoonmaker, Edward Heyd, Chaoqun Liu.
"LES for Prediction of Pressure Fluctuation for Supersonic Flow around a Truncated Cone"

2016-16

Shuh-Yi Chern, Greg Lobser, Michael Schoonmaker, Edward Heyd, Chaoqun Liu.
"High order LES for Supersonic Backward-facing Step Flow with Turbulent Inflow"

2014-17

Andrea Calderon, Ryan Landrith, Nhan Le, Ileana Munoz, and C. Kribs Zaleta.
"Mathematically Modeling the Relationship between Post-Kala-azar Dermal Leishmaniasis and Visceral Leishmaniasis"

2014-18

Jinrui Guan, Linzhang Lu, Ren-Cang Li and Rongxia Shao.
"Self-Corrective Algorithms for Generalized Diagonally Dominant Matrices"

2014-19

Lei-Hong Zhang, Wei Hong Yang, Chungen Shen, and Ren-Cang Li.
"A Krylov Subspace Method for Large Scale Second Order Cone Linear Complementarity Problem"

2013

Report Number

Authors/Title

2013-01

Zhaojun Bai and Ren-Cang Li.
"Minimization Principles for the Linear Response Eigenvalue Problem, III: General Case"

2013-02

Catherine Rogers and Christopher M. Kribs-Zaleta.
"Seasonality in a Two-Strain Competition Model for Trypanosoma Cruzi Transmission"

2013-03

Ren-Cang Li and Lei-Hong Zhang.
"Convergence of Block Lanczos Method for Eigenvalue Clusters"

2013-04

Lei-Hong Zhang and Ren-Cang Li.
"Maximization of the Sum of the Trace Ratio on the Stiefel Manifold"

2013-05

K. Roche, L. Grimes, W. Hall, A. Dhillon, J. Grover, and H. Kojouharov.
"Staphylococcus aureus and its Small-Colony Variant"

2013-06

Chaoqun Liu and Yonghua Yan.
"DNS Study of Turbulence Structure in a Boundary Layer"

2013-07

Shuh-Yi Chern, Greg Lobser, Michael Schoonmaker, and Chaoqun Liu.
"LES for Separated Supersonic Turbulent Boundary Layer and Shock Interaction"

2013-08

Yonghua Yan and Chaoqun Liu.
"Influence of Different Inlet Flow on the Ring-like Vortex Structure in MVG Controlled Supersonic Ramp Flow"

2013-09

Yonghua Yan, Jie Tang, and Chaoqun Liu.
"DNS Study on First Large Ring-Like Vortex Formation in Late Boundary Layer Transition"

2013-10

Yonghua Yan, Amandeep Kaur, and Chaoqun Liu.
"DNS Study on Mechanism of Formation of Lambda Rotational Core in Late Boundary Layer Transition"

2013-11

Zhongming Teng, Yunkai Zhou, and Ren-Cang Li.
"A Block Chebyshev-Davidson Method for Linear Response Eigenvalue Problems"

2013-12

Lei-Hong Zhang, Jungong Xue, and Ren-Cang Li.
"Rayleigh-Ritz Approximation For the Linear Response Eigenvalue Problem"

2012

Report Number

Authors/Title

2012-01

Darin Brezeale.
"A Multiscale Approach for Nonnegative Matrix Factorization with Applications to Image Classification"

2012-02

Ren-Cang Li, Yuji Nakatsukasa, Ninoslav Truhar, Wei-guo Wang.
"Perturbation of Multiple Eigenvalues of Hermitian Matrices"

2012-03

T. Mahdjoub and C. Kribs-Zaleta.
"Assessment of The Invasion Speed of Triatomine Populations, Vectors of Chagas Disease"

2012-04

Chaoqun Liu, Zhengzhong Sun, Xiao Wang, and Yonghua Yan.
"The Vortical Structures in the Rear Separation and Wake Produced by a Supersonic Micro-Ramp"

2012-05

Manoj Thapa, Ping Lu, and Chaoqun Liu.
"DNS Study on the Origin of the Flow Randomization in Late Boundary Layer Transition"

2012-06

Xiao Wang, Yonghua Yan, and Chaoqun Liu.
"Numerical Study on Shear Layer Stability after a Supersonic MVG"

2012-07

Huankun Fu, Zhengjie Wang, and Chaoqun Liu.
"Modified Weighted Compact Scheme for Shock Capturing"

2012-08

Yonghua Yan and Chaoqun Liu.
"Study on the Formation and Evolution of Vortex Ring Structure behind MVG with Turbulent Inflow"

2012-09

Yonghua Yan and Chaoqun Liu.
"Shear Layer Stability Analysis in Later Boundary Layer Transition and MVG Controlled Flow"

2012-10

Ping Lu, Manoj Thapa, and Chaoqun Liu.
"Numerical Study On Surface Friction and Boundary Layer Thickening in Transitional Flow"

2012-11

Zhengjie Wang, Huankun Fu, and Chaoqun Liu.
"Weighted Upwind Compact Scheme for Shock-Small Length Scale Interaction"

2012-12

Lindsey Dornberger, Christopher Mitchell, Brian Hull, Wilber Ventura, Haley Shopp, C. Kribs-Zaleta, Hristo Kojouharov, James Grover.
"Death of the Bees: a Mathematical Model of Colony Collapse Disorder"

2012-13

Stephanie Campos, Sarah Gauntt, Mark Jackson, An Lu, Tina Vu, James Grover, Hristo Kojouharov.
"Quorum Sensing Interaction and the Effect of Antibiotic on the Dynamics of Two Strains of the Same Bacterial Species"

2012-14

Xin Liang, Ren-Cang Li, and Zhaojun Bai.
"Trace Minimization Principles for Positive Semi-Definite Pencils"

2012-15

Zhongming Teng and Ren-Cang Li.
"Convergence Analysis of Lanczos-type Methods for the Linear Response Eigenvalue Problem"

2012-16

Xin Liang and Ren-Cang Li.
"Extensions of Wielandt's Min-max Principles for Positive Semi-Definite Pencils"

2012-17

Michaela Vancliff and Padmini P. Veerapen.
"Generalizing the Notion of Rank to Noncommutative Quadratic Forms"

2012-18

Michaela Vancliff and Padmini P. Veerapen.
"Point Modules over Regular Graded Skew Clifford Algebras"

2012-19

Manizheh Nafari and Michaela Vancliff.
"Graded Skew Clifford Algebras That are Twists of Graded Clifford Algebras"

2011

Report Number

Authors/Title

2011-01

Xiao-Wen Chang and Ren-Cang Li.
"Multiplicative Perturbation Analysis for QR Factorizations"

2011-02

Rajendra Bhatia and Ren-Cang Li.
"An Interpolating Family of Means"

2011-03

Katherine Reed, Kathryn Schalla, Souad Sosa, Jackie Tran, Thuy-My Truong, Alicia Prieto Langarica, Betty Scarbrough, Hristo Kojouharov, James Grover.
"General Model of the Innate Immune Response"

2011-04

Wei-Guo Wang, Wei-Chao Wang, and Ren-Cang Li.
"ADDA: Alternating-Directional Doubling Algorithm for M-Matrix Algebraic Riccati Equations"

2011-05

Charles K Garrett and Ren-Cang Li.
"GIP Integrators for Matrix Riccati Differential Equations"

2011-06

Zhaojun Bai and Ren-Cang Li.
"Minimization Principle for Linear Response Eigenvalue Problem with Applications"

2011-07

Yonghua Yan, Xiao Wang, and Chaoqun Liu.
"Study on Mechanism of Ring Generation behind Supersonic MVG"

2011-08

Yonghua Yan, Ping Lu, and Chaoqun Liu.
"The Interaction between Vortex Rings and Oblique Shocks by the MVG Controlled Ramp Flow at M=2.5"

2011-09

Ping Lu, Huankun Fu, and Chaoqun Liu.
"Numerical Study on Surface Friction in Transitional Flow"

2011-10

Goran Stipcich and Chaoqun Liu.
"High-order mixed weighted compact and non-compact scheme for shock/discontinuity and small length scale interaction"

2011-11

Ping Lu and Chaoqun Liu.
"Numerical Study on Mechanism of Multiple Ring Formation"

2011-12

Ping Lu and Chaoqun Liu.
"Numerical Study on Randomization in Late Boundary Layer Transition"

2011-13

Ping Lu, Monoj Thapa, and Chaoqun Liu.
"Numerical Study on Multiple Ring Cycle Mixing and Boundary Layer Thickness"

2011-14

Huankun Fu and Chaoqun Liu.
"Modified Fourier Spectral Method for Non-periodic CFD"

2011-15

Michaela Vancliff.
"Defining the Notion of Complete Intersection for Regular Graded Skew Clifford Algebras"

2011-16

Ying Fu, Yue Liu, and Changzheng Qu.
"On the Blow-up Structure for the Generalized Periodic Camassa-Holm and Degasperis-Procesi Equations"

2011-17

Robin Ming Chen, Jonatan Lenells, and Yue Liu.
"Stability of the mu-Camassa-Holm Peakons"

2011-18

Robin Ming Chen and Yue Liu.
"Wave-Breaking and Global Existence for a Generalized Two-Component Camassa-Holm System"

2011-19

Wilber Ventura, Tyler Randolph, Jayce Rodriguez, Alicia Prieto Langarica, Betty Scarbrough, Hristo Kojouharov, James Grover.
"Resting Stages and the Population Dynamics of Harmful Algae in Batch Cultures and Chemostats"

2011-20

Wei-Guo Wang, Wei-Chao Wang, and Ren-Cang Li.
"Deflating Irreducible Singular M-Matrix Algebraic Riccati Equations"

2010

Report Number

Authors/Title

2010-01

A. Prieto-Langarica, H. Kojouharov, B. Chen-Charpentier, and L. Tang.
"A Cellular Automata Model Of S. Epidermidis-Neutrophils Interactions on the Surface of a Medically Implanted Device"

2010-02

Zhaojun Bai, Cherung Lee, Ren-Cang Li, and Shufang Xu.
"Stable Solutions of Linear Systems Involving Long Chain of Matrix Multiplications"

2010-03

Pingzheng Zhang, and Yue Liu.
"Stability Of Solitary Waves And Wave-Breaking Phenomena For The Two-Component Camassa-Holm System"

2010-04

Robin Ming Chen, Yue Liu, and Zhijun Qiao.
"Stability Of Solitary Waves Of A Generalized Two-Component Camassa-Holm System"

2010-05

Jungong Xue, Shufang Xu, and Ren-Cang Li.
"Accurate Solutions of M-Matrix Sylvester Equations"

2010-06

Jungong Xue, Shufang Xu, and Ren-Cang Li.
"Accurate Solutions of M-Matrix Algebraic Riccati Equations"

2010-07

Irinel Dragan.
"On the Parallel Computation Of Individual Penalties in a Problem of Minimizing the Total Penalty for Late or Early Completion of Jobs on a Single Machine"

2010-08

Ren-Cang Li, Yuji Nakatsukasa, Ninoslav Truhar, and Shufang Xu.
"Perturbation of Partitioned Hermitian Generalized Eigenvalue Problem"

2010-09

Petter Andreas Bergh, and David A. Jorgensen.
"On Growth in Totally Acyclic Minimal Complexes"

2010-10

Petter Andreas Bergh, and David A. Jorgensen.
"The Depth Formula for Modules with Reducible Complexity"

2010-11

Manizheh Nafari, Michaela Vancliff, and Jun Zhang.
"Classifying Quadratic Quantum P^2S by Using Graded Skew Clifford Algebras"

2010-12

Yonghua Yan, Qin Li, Chaoqun Liu, and Frank Lu.
"Numerical, Experimental and Theoretical Studies on Mechanism of K-H Instability and Ring Generation behind Supersonic MVG"

2010-13

Huankun Fu, Ping Lu, and Chaoqun Liu.
"Improvement of Mixing Function for Modified Upwinding Compact Scheme"

2010-14

Ping Lu, Qin Li, and Chaoqun Liu.
"Numerical Study of Mechanism of U-shaped Vortex Formation"

2010-15

Qin Li, Yonghua Yan, Xiao Wang, and Chaoqun Liu.
"The Interaction between Vortex Rings and Oblique Shocks by the MVG Controlled Ramp Flow at M=2.5"

2010-16

Qin Li, Yonghua Yan, Ping Lu, Adam Pierce, Chaoqun Liu, and Frank Lu.
"Numerical and Experimental Studies on the Separation Topology of the MVG Controlled Flow at M=2.5"

2010-17

Ping Lu and Chaoqun Liu.
"Numerical Study on Mechanism of Small Vortex Generation in Boundary Layer Transition"

2010-18

Catherine Rogers, Kim Ngan Tran Nguy, Onyekachi A. Amajor.
"Daily Behavior of Trypanosoma Cruzi Hosts and Vectors in Texas: an Agent-Based Modeling Approach in Netlogo"

2010-19

Kachi Amajor, Catherine Rogers, Kim Ngan Tran Nguy, Thomas Seaquist, Britnee Crawford, Anuj Mubayi, Christopher Kribs-Zaleta.
"Quantification of Biting Rates of Two Trypanosoma Cruzi Vectors on Two Preferred Mammalian Hosts in Texas Using an Agent-Based Model"

2009

Report Number

Authors/Title

2009-01

Abraham J. Arenasa, Gilberto Gonzalez-Parrab, and Benito M. Chen-Charpentier.
"An Accurate Nonstandard Scheme of Predictor-Corrector Type for a SIR Epidemic Model"

2009-02

Yue Liu, Dmitry Pelinovsky, Anton Sakovich.
"Wave Breaking in the Ostrovsky-Hunter Equation"

2009-03

Ninoslav Truhar, Zoran Tomljanovic, Ren-Cang Li.
"Low Rank ADI Solution of Sylvester Equation via Exact Shifts"

2009-04

Dimitar Grantcharov.
"Explicit Realizations of Simple Weight Modules of Classical Lie Superalgebras"

2009-05

Robin Ming Chen, Yue Liu, and Pingzheng Zhang.
"Local Regularity and Decay Estimates of Solitary Waves for the Rotation-Modified Kadomtsev-Petviashvili Equation"

2009-06

Xin Yang, Ren-Cang Li, and Hongyuan Zha.
"Active Learning Methods for Semi-supervised Manifold Learning"

2009-07

Ren-Cang Li, and Yunkai Zhou.
"Bounding the Spectrum of Large Hermitian Matrices"

2009-08

Petter Andreas Bergh and David A. Jorgensen.
"On The Vanishing Of Homology For Modules Of Finite Complete Intersection Dimension"

2009-09

David A. Jorgensen, Graham J. Leuschke, and Sean Sather-Wagstaff.
"Presentations Of Rings With Non-Trivial Self-Orthogonal Modules"

2009-10

Irinel Dragan.
"On The Computation Of Weighted Shapley Values For Cooperative TU Games"

2009-11

Irinel Dragan.
"Multiweighted Shapley Values, Random Order Values, Harsanyi Payoffs, for Cooperative TU Games"

2009-12

Irinel Dragan.
"A Maschler Type Algorithm For Computing Multiweighted Shapley Values Of Cooperative Tu Games"

2009-13

Chaoqun Liu and Maria Oliveira.
"Modified Weighted Compact Scheme for 1-D and 2-D Shock / Wave Interaction"

2009-14

Maria Luisa Oliveira and Chaoqun Liu.
"Implicit LES for Shock/Blunt Body Interaction"

2009-15

Qin Li and Chaoqun Liu.
"LES for Supersonic Ramp Flow Control Using MVG at M_infty=3 and Re_theta=2400"

2009-16

Qin Li and Chaoqun Liu.
"Numerical Investigations on the Effects of the Declining Back-edge of MVG"

2009-17

Lin Chen, Xiaobing Liu, Maria Oliveira, and Chaoqun Liu.
"DNS for Late Stage Structure of Flow Transition on a Flat-Plate Boundary Layer"

2009-18

Xiaobing Liu, Lin Chen, Yury Kachanov, and Chaoqun Liu.
"DNS for Ring - Like Vortices Formation and Roles in Positive Spikes Formation"

2009-19

Chaoqun Liu.
"Study of Mechanism of Ring-Like Vortex Formation in Late Flow Transition"

2009-20

Ren-Cang Li and William Kahan.
"A Family of Anadromic Numerical Methods for Matrix Riccati Differential Equations"

2008

Report Number

Authors/Title

2008-01

Robin Ming Chen, Vera Mikyoung Hur, and Yue Liu.
"Solitary Waves Of The Rotation-Modified Kadomtsev-Petviashvili Equation"

2008-2

Ninoslav Truhar and Ren-Cang Li.
"On ADI Method for Sylvester Equations"

2008-3

Yuji Kodama and Barbara Shipman.
"The Finite Non-Periodic Toda Lattice: A Geometric And Topological Viewpoint"

2008-4

Benito M. Chen-Charpentier and Hristo V. Kojouharov.
"Mathematical Modeling Of Bioremediation Of Trichloroethylene In Aquifers"

2008-5

Thomas Cassidy and Michaela Vancliff.
"Generalizations Of Graded Clifford Algebras And Of Complete Intersections"

2008-6

Ren-Cang Li, Wen-Wei Lin, and Chern-Shuh Wang.
"Structured Backward Error for Palindromic Polynomial Eigenvalue Problems"

2008-7

Jianqing Chen and Yue Liu.
"Instability of Standing Waves to the Inhomogeneous Nonlinear Schrodinger Equation with Harmonic Potential"

2008-8

Robert Glassey, Stephen Pankavich, and Jack Schaeffer.
"Decay in Time for a One-dimensional Two-component Plasma"

2008-9

Stephen Pankavich, Z. Shreif, Y. Miao, and P. Ortoleva.
"Self-Assembly of Nanocomponents into Composite Structures: Derivation and Simulation of Langevin Equations"

2008-10

Yue Liu.
"Wave Breaking Phenomena and Stability of Peakons for the Degasperis-Procesi"

2008-11

Hua Shan, Michael V. Klibanov, Jianzhong Su, Natee Pantong, and Hanli Liu.
"A Globally Accelerated Numerical Method For Optical Tomography With Continuous Wave Source"

2008-12

Irinel Dragan.
"On The Computation Of Weighted Shapley Values For Cooperative TU Games"

2008-13

David A. Jorgensen and W. Frank Moore.
"Minimal Intersections And Vanishing (Co)Homology"

2008-14

Ren-Cang Li and Wei Zhan.
"The Rate of Convergence of GMRES on a Tridiagonal Toeplitz Linear System. II"

2008-15

Minerva Cordero, Theresa Jorgensen, and Barbara Shipman.
"Engaging the Honors Student in Lower-division Mathematics"

2008-16

Minerva Cordero, Theresa Jorgensen, and Barbara Shipman.
"Designing Contracts and Honors Thesis Projects in Mathematics"

2007

Report Number

Authors/Title

2007-01

Tuncay Aktosun.
"Determining the Shape of a Human Vocal Tract From Pressure Measurements at the Lips"

2007-02

Tuncay Aktosun, Francesco Demontis and Cornelis van der Mee.
"Exact Solutions To The Focusing Nonlinear Schrödinger Equation"

2007-03

Hua Shan, Li Jiang, Chaoqun Liu, Michael Love, Brant Maines.
"Numerical Study of Passive and Active Flow Separation Control over a NACA0012 Airfoil"

2007-04

Hua Shan, Gour-Tsyh Yeh, Gordon Hu, Tien-Shuenn Wu.
"A Three-dimensional Bay/Estuary Model for Hydrodynamics and Salinity Transport"

2007-05

David A. Jorgensen.
"Finite Projective Dimension And The Vanishing Of ExtR(M;M)"

2007-06

Meri T. Hughes, David A. Jorgensen, and Liana M. Sega.
"On Acyclic Complexes Of Free Modules"

2007-07

Yue Liu and Zhaoyang Yin.
"On the Blow-up Phenomena for the Degasperis-Procesi Equation"

2007-08

Jinglu Li, C.B. Clemons, G.W. Young, Jianping Zhu.
"Solutions of Two-Factor Models With Variable Interest Rates"

2007-09

Zhiwu Lin and Yue Liu.
"Stability of peakons for the Degasperis-Procesi equation"

2007-10

Dobromir T. Dimitrov and Hristo V. Kojouharov.
"Nonstandard Finite Difference Methods For Predator-Prey Models With General Functional Response"

2007-11

Benito M. Chen-Charpentier, Dobromir T. Dimitrov, and Hristo V. Kojouharov.
"Numerical Simulation Of Multi-Species Biofilms In Porous Media For Different Kinetics"

2007-12

Ren-Cang Li and Wei Zhan.
"The Rate of Convergence of GMRES on a Tridiagonal Toeplitz Linear System"

2007-13

Li Jiang, Jiangang Cai, and Chaoqun Liu.
"Large Eddy Simulation of Wing Tip Vortex in the Near Field"

2007-14

Peng Xie and Chaoqun Liu.
"Weighted Compact and Non-compact Scheme for Shock Tube and Shock Entropy Interaction"

2007-15

Chaoqun Liu, Peng Xie, and Maria L. Oliveira.
"High Order Modified Weighted Compact Scheme for High Speed Flow"

2007-16

Jianzhong Su, Maria Oliveira, Peng Xie and Chaoqun Liu.
"Error Analysis for Weighted Higher Order Compact Finite Difference Scheme"

2007-17

Minerva Cordero, Theresa Jorgensen, Barbara Shipman.
"Engaging the Honors Student in Mathematics"

2007-18

Jianzhong Su, Humberto Perez-Gonzalez, and Ming He.
"Regular Bursting Emerging From Synaptically Coupled Neurons"

2007-19

Jianzhong Su, Humberto Perez Gonzales, and Liping Tang.
"Modeling and Simulation of Foreign Body Reactions to Neural Implants"

2007-20

Jianzhong Su, Hanli Liu, and Yuanbo Peng.
"A Dynamical Model of Fast Intrinsic Optical Signal of Neural Burstings"

2007-21

Jie Liu, Guojun Liao, and Jiaxing Xue.
"Reconstruction of Differentiable Transformations"

2007-22

Robert L. Paige, Shan Sun, and Keyi Wang.
"Variance Reduction in Smoothing Splines"