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

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Submissions from 2005

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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

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Absolute-Convective Instabilities and Their Associated Wave Packets in a Compressible Reacting Mixing Layer, F. Q. Hu, T. L. Jackson, D. G. Lasseigne, and C. E. Grosch

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Induced Mach Wave-Flame Interactions in Laminar Supersonic Fuel Jets, F. Q. Hu, T. L. Jackson, D. G. Lasseigne, and C. E. Grosch

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Erratum: "Temperature and Suction Effects on the Instability of an Infinite Swept Attachment Line" [Physics of Fluids A 4, 2008 (1992)], D. G. Lasseigne, T. L. Jackson, and F. Q. Hu

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The Sharp Lipschitz-Constants for Feasible and Optimal-Solutions of a Perturbed Linear Program, Wu Li

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Volterra Equations Which Model Explosion in a Diffusive Medium, Catherine A. Roberts, D. Glenn Lasseigne, and W. E. Olmstead

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Temporal Model of an Optically Pumped Co-Doped Solid State Laser, T. G. Wangler, J. J. Swetits, and A. M. Buoncristiani

Submissions from 1992

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Solution Uniqueness and Stability Criteria for a Model of Growth Factor Production, J. A. Adam

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Numerical Solutions for Weakly Singular Hammerstein Equations and Their Superconvergence, Hideaki Kaneko, Richard D. Noren, and Yuesheng Xu

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Temperature and Suction Effects on the Instability of an Infinite Swept Attachment Line, D. G. Lasseigne, T. L. Jackson, and F. Q. Hu

Submissions from 1991

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Self-Activation and Inhibition: A Simple Nonlinear Model, J. A. Adam

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Activator-Inhibitor Control of Tissue Growth, John A. Adam

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Parametric Instability of Supersonic Shear Layers Induced by Periodic Mach Waves, Fang Q. Hu and Christopher K. W. Tam

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Nonlinear-Interaction of a Detonation Vorticity Wave, D. G. Lasseigne, T. L. Jackson, and M. Y. Hussaini

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Best Lp Aapproximation with Multiple Constraints for 1 ⩽ p < ∞, J. J. Swetits, S. E. Weinstein, and Yuesheng Xu

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A Duality Approach to Best Uniform Convex Approximation, S. E. Weinstein and Yuesheng Xu

Submissions from 1990

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A Characterization of the Solution of a Fredholm Integral Equation with L∞ Forcing Term, Hideaki Kaneko, Richard Noren, and Yuesheng Xu

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Stability of a Viscoelastic Burgers Flow, D. Glenn Lasseigne and W. E. Olmstead

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Construction of the Best Monotone Approximation on Lp [0, 1], J. J. Swetits and S. E. Weinstein

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Best Quasi-Convex Uniform Approximation, S. E. Weinstein and Yuesheng Xu

Submissions from 1989

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A Nonlinear Eigenvalue Problem in Astrophysical Magnetohydrodynamics: Some Properties of the Spectrum, John A. Adam

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Corrigendum, John A. Adam

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Fixed Point Theorems for Compatible Multi-Valued and Single-Valued Mappings, Hideaki Kaneko and Salvatore Sessa

Submissions from 1988

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A Mathematical Model of Tumor Growth By Diffusion, John A. Adam

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Uniform L1 Behavior in Classes of Integrodifferential Equations With Convex Kernels, Richard Noren

Submissions from 1987

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Limit Theorems in the Area of Large Deviations for Some Dependent Random Variables, Narasinga Rao Chaganty and Jayaram Sethuraman

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Ignition of a Combustible Solid with Reactant Consumption, D. Glenn Lasseigne and W. E. Olmstead

Submissions from 1986

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On the Existence of Periodic and Eventually Periodic Solutions of a Fluid Dynamic Forced Harmonic Oscillator, Charlie H. Cooke

Submissions from 1985

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Large Deviation Local Limit Theorems for Arbitrary Sequences of Random Varibles, Narasinga Rao Chaganty and J Sethuraman

Submissions from 1983

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On the First Passage Time Distribution for a Class of Markov Chains, Mark Brown and Narasinga Rao Chaganty

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Quantitative Estimates for Lp Approximation with Positive Linear Operators, J. J. Swetits and B. Wood

Submissions from 1982

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Smallest Cubic and Quartic Graphs With a Given Number of Cutpoints and Bridges, Gary Chartrand, Farrokh Saba, John K. Cooper Jr., Frank Harary, and Curtiss E. Wall

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Local Lp-Saturation of Positive Linear Convolution Operators, J. J. Swetits and B. Wood

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Unbounded Functions and Positive Linear-Operators, J. J. Swetits and B. Wood

Submissions from 1980

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A Note on the Degree of Approximation With an Optimal, Discrete Polynomial, J. J. Swetits and B. Wood

Submissions from 1979

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Sufficiency of a Numerical Downstream Continuation, Charlie H. Cooke

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Note: On Summability and Positive Linear Operators, J. J. Swetits