A selection of faculty publications from the Department of Mathematics and Statistics, College of Sciences, Old Dominion University.

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Submissions from 2012

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Wavelet Collocation Method and Multilevel Augmentation Method for Hammerstein Equations, Hideaki Kaneko, Khomsan Neamprem, and Boriboon Novaprateep

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Probability of Identification: A Statistical Model for the Validation of Qualitative Botanical Identification Methods, Robert A. LaBudde and James M. Harnly

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Flow Over a Traveling Wavy Foil With a Passively Flapping Flat Plate, Nansheng Liu, Yan Peng, Youwen Liang, and Xiyun Lu

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A Generalized Cholera Model and Epidemic-Endemic Analysis, Jin Wang and Shu Liao

Submissions from 2011

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Putting the X in Biology: A Review of the Mathematics of Life, John Adam

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Analysis of Biological Features Associated with Meiotic Recombination Hot and Cold Spots in Saccharomyces cerevisiae, Loren Hansen, Nak-Kyeong Kim, Leonardo Mariño-Ramírez, and David Landsman

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Uniform l1 Behavior of a Time Discretization Method for a Volterra Integrodifferential Equation With Convex Kernel; Stability, Charles B. Harris and Richard D. Noren

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Stability Analysis and Application of a Mathematical Cholera Model, Shu Liao and Jim Wang

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Numerics of the Lattice Boltzmann Method: Effects of Collision Models on the Lattice Boltzmann Simulations, Li-Shi Luo, Wei Liao, Xingwang Chen, Yan Peng, and Wei Zhang

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Estimating the Reproductive Numbers for the 2008-2009 Cholera Outbreaks in Zimbabwe, Zindoga Mukandavire, Shu Liao, Jin Wang, Holly Gaff, David L. Smith, and J. Glenn Morris Jr.

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Acceleration Techniques by Post-processing of Numerical Solutions of the Hammerstein Equation, Khomsan Neamprem and Hideaki Kaneko

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Weighted Scores Method for Regression Models with Dependent Data, Aristidis K. Nikoloulopoulos, Harry Joe, and N. Rao Chaganty

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On Weighted Distributions and Mean Advantage Over Inferiors Functions, Broderick O. Oluyede and Norou Diawara

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Use of SARIMA Models to Assess Data-Poor Fisheries: A Case Study With A Sciaenid Fishery Off Portugal, Nuno Prista, Norou Diawara, Maria J. Costa, and Cynthia M. Jones

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Mesoscopic Methods in Engineering and Science, Chuguang Zheng, Jiding Lu, Zhaoli Guo, Li-Shi Luo, and Manfred Krafczyk

Submissions from 2010

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Probability Models for Blackjack Poker, Charlie H. Cooke

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The Joint Distribution of Bivariate Exponential Under Linearly Related Model, Norou Diawara and Kumer Pial Das

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Mesoscopic Methods in Engineering and Science, Alfons Hoekstra, Li-Shi Luo, and Manfred Krafczyk

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Effects of Multitemperature Nonequilibrium on Compressible Homogeneous Turbulence, Wei Liao, Yan Peng, and Li-Shi Luo

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Linear Dependency for the Difference in Exponential Regression, Indika Sathish and Norou Diawara

Submissions from 2009

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A Two-Population Insurgency in Colombia: Quasi-Predator-Prey Models - A Trend Towards Simplicity, John A. Adam, John A. Sokolowski, and Catherine M. Banks

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Gas-Kinetic Schemes for Direct Numerical Simulations of Compressible Homogeneous Turbulence, Wei Liao, Yan Peng, and Li-Shi Luo

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Multiple Imputation to Correct for Measurement Error in Admixture Estimates in Genetic Structured Association Testing, Miguel A. Padilla, Jamin Divers, Laura K. Vaughan, David B. Allison, and Hemant K. Tiwari

Submissions from 2008

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Professor Gopal Kanji's Retirement as Editor of Journal of Applied Statistics, M. C. Agrawal, Steven B. Caudill, S. Chakraborti, Norman Draper, Ian Dryden, Joe Gani, Steven G. Gilmour, Z. Govindarajulu, David J. Hand, and Dayanand Naik

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Lipschitz Continuity of the Best Approximation Operator in Vector-Valued Chebyshev Approximation, Martin Bartelt and John Swetits

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Dedication to Pierre Lallemand on the Occasion of His Retirement, Dominque d'Humieres, Manfred Krafczyk, Li-Shi Luo, and Robert Rubinstein

Submissions from 2007

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Lipschitz Continuity and Gateaux Differentiability of the Best Approximation Operator in Vector-Valued Chebyshev Approximation, Martin Bartelt and John Swetits

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Microscopic-Macroscopic Simulations of Rigid-Rod Polymer Hydrodynamics: Heterogeneity and Rheochaos, M. Gregory Forest, Ruhai Zhou, and Qi Wang

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Factors Affecting Website Reconstruction From the Web Infrastructure, Frank McCown, Norou Diawara, and Michael L. Nelson

Submissions from 2006

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A System Equivalence Related to Dulac's Extension of Bendixson's Negative Theorem for Planar Dynamical Systems, Charlie H. Cooke

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On the Existence of Strong Solutions to Autonomous Differential Equations with Minimal Regularity, Charlie H. Cooke

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Monodomain Dynamics for Rigid Rod and Platelet Suspensions in Strongly Coupled Coplanar Linear Flow and Magnetic Fields. II. Kinetic theory, M. Gregory Forest, Sarthok Sircar, Qi Wang, and Ruhai Zhou

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A Simplified Model for Growth Factor Induced Healing of Wounds, F. J. Vermolen, E. van Baaren, and J. A. Adam

Submissions from 2005

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Flowers of Ice- Beauty, Symmetry, and Complexity: A Review of The Snowflake: Winter's Secret Beauty, John A. Adam

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Bounds on Element Order in Rings Z(m) With Divisors of Zero, C. H. Cooke

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Kinetic Structure Simulations of Nematic Polymers in Plane Couette Cells. II: In-plane structure transitions, M. Gregory Forest, Ruhai Zhou, and Qi Wang

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A Comparison of Esomeprazole and Lansoprazole for Control of Intragastric pH in Patients With Symptoms of Gastro-Oesophageal Reflux Disease, D. A. Johnson, T. Stacy, M. Ryan, T. Wootton, J. Willia, K. Hornbuckle, W. Brooks, and M. Doviak

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Symptoms of Gastro-Oesophageal Reflux Disease and the Severity of Obstructive Sleep Apnoea Syndrome Are Not Related in Sleep Disorders Center Patients, H.-N. Kim, R. D. Vorona, M. P. Winn, M. Doviak, D. A. Johnson, and J. Catesby Ware

Submissions from 2004

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Astronaut EVA Exposure Estimates from CAD Model Spacesuit Geometry, Giovanni De Angelis, Brooke M. Anderson, William Atwell, John E. Nealy, Gary D. Qualls, and John W. Wilson

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Wishartness and Independence of Matrix Quadratic Forms for Kronecker Product Covariance Structures, Akhil K. Vaish and N. Rao Chaganty

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Computational Protein Biomarker Prediction: A Case Study for Prostate Cancer, Michael Wagner, Dayanand N. Naik, Alex Pothen, Srinivas Kasukurti, Raghu Ram Devineni, Bao-Ling Adam, O. John Semmes, and George L. Wright Jr.

Submissions from 2003

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Protocols for Disease Classification from Mass Spectrometry Data, Michael Wagner, Dayanand Naik, and Alex Pothen

Submissions from 2002

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Healing Times for Circular Wounds on Plane and Spherical Bone Surfaces, J. A. Adam

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The Effect of Surface Curvature on Wound Healing in Bone, J. A. Adam

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Like a Bridge Over Colored Water: A Mathematical Review of The Rainbow Bridge: Rainbows in Art, Myth, and Science, John A. Adam

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Lunar Lava Tube Radiation Safety Analysis, Giovanni De Angelis, J. W. Wilson, M. S. Clowdsley, J. E. Nealy, D. H. Humes, and J. M. Clem

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Implementation of Gy-Eq for Deterministic Effects Limitation in Shield Design, John W. Wilson, Myung-Hee Y. Kim, Giovanni De Angelis, Francis A. Cucinotta, Nobuaki Yoshizawa, and Francis F. Badavi

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Advances in Space Radiation Shielding Codes, John W. Wilson, Ram K. Tripathi, Garry D. Qualls, Francis A. Cucinotta, Richard E. Prael, John W. Norbury, John H. Heinbockel, John Tweed, and Giovanni De Angelis

Submissions from 2001

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The Range of the Iterated Matrix Adjoint Operator, Tze-Jang Chen, Jenn-Tsann Lin, and C. H. Cooke

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Slope Control in Western Boundary Currents, Sang-Ki Lee, J. L. Pelegri, and John Kroll

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Nested Balanced Incomplete Block Designs, J. P. Morgan, D. A. Preece, and D. H. Rees

Submissions from 1999

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A Simplified Model of Wound Healing (With Particular Reference to the Critical Size Defect), J. A. Adam

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A Simplified Model of Wound Healing - II: The Critical Size Defect in Two Dimensions, J. S. Arnold and John A. Adam

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Polynomial Construction of Complex Hadamard Matrices with Cyclic Core, C. H. Cooke and I. Heng

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Algorithms for the Numerical Solution of a Finite-Part Integral Equation, J. Tweed, R. St. John, and M. H. Dunn

Submissions from 1998

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(A Note on)(2) the Shape of the Erythrocyte, J. A. Adam

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Characterization of Generalized Haar Spaces, M. Bartelt and W. Li

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The Adjoint Alternative for Matrix Operators, C. H. Cooke

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Steady Incompressible Magnetohydrodynamic Flow Near a Point of Reattachment, J. M. Dorrepaal and S. Moosavizadeh

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Uniform Lipschitz Continuity of Best l(p)-approximations by Polyhedral Sets, Martina Finzel and Wu Li

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Error Correcting Codes Associated with Complex Hadamard Matrices, I. Heng and C. H. Cooke

Submissions from 1997

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Corrigendum to “Post-Surgical Passive Response of Local Environment to Primary Tumor Removal”: Mathl. Comput. Modelling, vol. 25, no. 6, pp. 7–17, 1997, J. A. Adam and C. Bellomo

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Post-Surgical Passive Response of Local Environment to Primary Tumor Removal, J. A. Adam and C. Bellomo

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Scattering from Stellar Acoustic-Gravity Potentials: II. Phase Shifts via the First Born Approximation, J. A. Adam and I. McKaig

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Limiting Spheroid Size as a Function of Growth Factor Source Location, J. A. Adam and K. Y. Ward

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Hoffman’s Error Bounds and Uniform Lipschitz Continuity of Best l(p) -Approximations, H. Berens, M. Finzel, W. Li, and Y. Xu

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An Invariance Property of Common Statistical Tests, N. Rao Chaganty and A. K. Vaish

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The Hadamard Matroid and an Anomaly in Its Single Element Extensions, C. H. Cooke

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A Dual Approach to Constrained Interpolation From a Convex Subset of Hilbert Space, Frank Deutsch, Wu Li, and Joseph D. Ward

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The Effect of Three-Dimensional Freestream Disturbances on the Supersonic Flow Past a Wedge, Peter W. Duck, D. Glenn Lasseigne, and M. Y. Hussaini

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Continuities of Metric Projection and Geometric Consequences, Robert Huotari and Wu Li

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Superconvergence of the Iterated Collocation Methods for Hammerstein Equations, Hideaki Kaneko, Richard D. Noren, and Peter A. Padilla

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Antiplane Shear of a Strip Containing a Staggered Array of Rigid Line Inclusions, G. Kerr, G. Melrose, and J. Tweed

Submissions from 1996

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Effects of Vascularization on Lymphocyte/Tumor Cell Dynamics: Qualitative Features, J. A. Adam

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A Family of Parallel Runge-Kutta pairs, P. Bogacki

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An Efficient Runge-Kutta (4,5) pair, P. Bogacki and L. F. Shampine

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On a Conjecture of S. Reich, Peter Z. Daffer, Hideaki Kaneko, and Wu Li

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Superconvergence of the Iterated Galerkin Methods for Hammerstein Equations, Hideaki Kaneko and Yuesheng Xu

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The Stability of Compressible Mixing Layers in Binary Gases, F. Kozusko, D. G. Lasseigne, C. E. Grosch, and T. L. Jackson

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NOTE: On the Degree of Lp Approximation with Positive Linear Operators, J. J. Swetits and B. Wood

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Data Compression Based on the Cubic B-Spline Wavelet With Uniform Two-Scale Relation, S. K. Yang and C. H. Cooke

Submissions from 1995

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A Simple Mathematical-Model and Alternative Paradigm for Certain Chemotherapeutic Regimens, J. A. Adam and J. C. Panetta

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Fermi Problems: Educated Guesses, John A. Adam

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Error Estimates and Lipschitz Constants for Best Approximation in Continuous Function Spaces, M. Bartelt and W. Li

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Fixed Points of Generalized Contractive Multi-valued Mappings, Peter Z. Daffer and Hideaki Kaneko

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Convergence of Pólya Algorithm and Continuous Metric Selections in Space of Continuous Functions, Wu Li

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A Logistic Model of Periodic Chemotherapy, J. C. Panetta

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A Mathematical Model of Cycle Chemotherapy, J. C. Panetta and J. Adam

Submissions from 1994

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Characterization of the Local Lipschitz Constant, M. W. Bartelt and J. J. Swetits

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A Fast Numerical Solution of Scattering by a Cylinder: Spectral Method for the Boundary Integral Equations, Fang Q. Hu

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Continuity of Metric Projection, Pólya Algorithm, Strict Best Approximation, and Tubularity of Convex Sets, Robert Huotari and Wu Li

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Gauss-Type Quadratures for Weakly Singular Integrals and Their Application to Fredholm Integral Equations of the Second Kind, Hideaki Kaneko and Yuesheng Xu

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Some Triple Sine Series, G. Kerr, G. Melrose, and J. Tweed

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On Cohesion Stable Graphs, Virginia Rice and Richard D. Ringeisen

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Periodic and Homoclinic Orbits in a Toy Climate Model, M. Toner and A. D. Kirwan Jr.

Submissions from 1993

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Scattering Parameters for an Epstein Profile in a Half-Space, J. A. Adam

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The Dynamics of Growth-Factor-Modified Immune-Response to Cancer Growth: One-Dimensional Models, J. A. Adam

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The Scattering Potential for a Polytrope of Degree-5, J. A. Adam

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Strong Large Deviation and Local Limit Theorms, Narasinga Rao Chaganty and Jayaram Sethuraman

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A Numerical Study of Wave Propagation in a Confined Mixing Layer by Eigenfunction Expansions, Fang Q. Hu