University of Kentucky Math Research Reports

University of Kentucky
Department of Mathematics
Research Reports

Reprints may be requested by contacting the authors directly using either

http://www.ms.uky.edu/~math

Here is a quick index to papers which appear from 1990-1999, where 199x is
0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Here is a quick index to papers which appear after 2000,
where 20y is 00, 01, 02, 03. 04. 05. and 06.

2006

2006-02 David R. Adams
Capacity and blow-up for the 3+1 dimensional wave operator
Abstract Paper (320K) Paper (PDF)

2006-01 Ren-Cang Li
A Note on Hard Cases For Conjugate Gradient Method
Abstract (PDF) Paper (510K) Paper (PDF)

2005

2005-07 Youngjoon Cha and Seongjai Kim
MONTE: The Method of Nonflat Time Evolution in PDE-based Image Restoration
Abstract Paper (PDF)

2005-06 Ren-Cang Li
On Meinardus' Examples for the Conjugate Gradient Method
Abstract (PDF) Paper (524K) Paper (PDF)

2005-05 Loredana Lanzani, Luca Capogna and Russell M. Brown
The mixed problem in $L^p$ for some two-dimensional Lipschitz domains
Paper (480K) Paper (PDF)

2005-04 Youngjoon Cha and Seongjai Kim
Domain Decomposition for Solving the Helmholtz Problem by High-Order Finite Element Methods
Abstract Paper (PDF)

2005-03 Youngjoon Cha and Seongjai Kim
Edge-Forming Methods for Image Zooming: Color Images
Abstract Paper (PDF)

2005-02 Ren-Cang Li
Vandermonde Matrices with Chebyshev Nodes
Abstract (PDF) Paper (PDF)

2005-01 Ren-Cang Li
Sharpness in Rates of Convergence for CG and Symmetric Lanczos Methods
Paper (751K) Abstract (PDF) Paper (PDF)

2004

2004-11 Seongjai Kim
Hybrid level set algorithms for efficient and reliable segmentation
Abstract Paper (PDF)

2004-10 Ren-Cang Li
Lower Bounds For the Condition Number of a Real Confluent Vandermonde Matrix
Paper (428K) Abstract (PDF) Paper (PDF)

2004-09 Youngjoon Cha and Seongjai Kim
Edge-Forming Methods for Image Zooming
Abstract Abstract (PDF) Paper (PDF)

2004-08 Sergey Kitaev
Segmented Partially Ordered Generalized Patterns
Paper (305K) Paper (PDF)

2004-07 Seongjai Kim
Numerical Modeling for the Recovery of Fine Structures in PDE-based Denoising
Abstract Paper (PDF)

2004-06 Sergey Kitaev, Toufik Mansour and Patrice Se'e'bold
Counting ordered patterns in words generated by morphism I. Rises, descents, and repetitions with gaps
Paper (482K) Abstract Paper (PDF) Abstract (PDF)

2004-05 Ren-Cang Li
Asymptotically Optimal Lower Bounds For the Condition Number of a Real Vandermonde Matrix
Paper (930K) Abstract (PDF) Paper (PDF)

2004-04 Sergey Kitaev and Jakayla R. Robbins
On Multi-Dimensional Patterns
Paper (223K) Paper (PDF)

2004-03 Sergey Kitaev
Counting Independent Sets on Path-Schemes
Abstract Paper (152K) Abstract (PDF) Paper (PDF)

2004-02 Ren-Cang Li
Structural Preserving Model Reductions
Abstract Paper (562K) Abstract (PDF) Paper (PDF)

2004-01 Sergey Kitaev
On multi-avoidance of right angled numbered polyomino patterns
Abstract Paper (562K) Abstract (PDF)

2003

2003-12 Alexander Burstein and Sergey Kitaev
On Unavoidable Sets of Word Patterns
Abstract Paper (258K) Abstract (PDF)

2003-11 Ren-Cang Li
Positive Polar Factors of Graded Matrices
Abstract Paper (369K) Abstract (PDF) Paper (PDF)

2003-10 Alexander Burstein, Sergey Kitaev and Toufik Mansour
Independent Sets in Certain Classes of (Almost) Regular Graphs
Abstract Paper (231K)

2003-09 Sergey Kitaev and Toufik Mansour
A Survey on Certain Pattern Problems
Abstract Paper (542K)

2003-08 Kisee Joo and Seongjai Kim
PDE-based image restoration II: Numerical schemes and color image denoising
Abstract Abstract (PDF) Paper (PDF)

2003-07 Kisee Joo and Seongjai Kim
PDE-based image restoration I: Anti-staircasing and anti-diffusion
Abstract Paper (688K) Abstract (PDF) Paper (PDF)

2003-06 Seongjai Kim, Chang-Soo Shin and Joseph B. Keller
High-frequency asymptotics for the numerical solution of the Helmholtz equation
Abstract Paper (637K) Abstract

2003-05 D.R. Adams and J. Xaio
Nonlinear Potential Analysis on Morrey Spaces and Their Capacities
Abstract Paper(348K) Paper (PDF)

2003-04 Hyeona Lim, Seongjai Kim and Jim Douglas, Jr.
Numerical Methods for Visous and Nonvisous Wave Equations
Abstract Paper(109K) Abstract (PDF)

2003-03 Changyou Wang
Biharmonic maps from R^4 into a Riemannian manifold
Paper(251K) Paper (PDF)

2003-02 Changyou Wang
Remarks on biharmonic maps into spheres
Paper(221K) Paper (PDF)

2003-01 Changyou Wang
Stationary biharmonic maps from R^m into a Riemannian manifold
Paper(279K) Paper (PDF)

2002

2002-08 Leonard Hoffnung, Ren-Cang Li and Qiang Ye
Krylov Type Subspace Methods for Matrix Polynomials
Abstract Paper(688K) Paper (PDF) Abstract (PDF)

2002-07 Seongjai Kim and Sung Ha Kang
Implicit Procedures for PDE-based Color Denoising via Brightness-Chromaticity Decomposition
Abstract Paper (PDF) Abstract (PDF)

2002-06 Seongjai Kim, Ionut Emil Iacob and Matthew Tynan
MinBAD: The minimum-biased anisotropic diffusion for noise removal
Abstract Paper(253K) Paper (PDF) Abstract (PDF)

2002-05 Jim Douglas, Jr., Seongjai Kim and Hyeona Lim
An Improved Alternating-Direction Method for a Viscous Wave Equation
Abstract Paper(173K) Paper (PDF) Abstract (PDF)

2002-04 David R. Adams and Ritva Hurri-Syrjanen
Besov Functions and Vanishing Exponential Integrability

2002-03 Seongjai Kim
High-Order Schemes for Acoustic Waveform Simulation
Abstract Paper(521K) Paper (PDF) Abstract (PDF)

2002-02 Seongjai Kim
Compact Schemes for Acoustics in the Frequency Domain
Abstract Paper(186K) Paper (PDF) Abstract (PDF)

2002-01 Russell M. Brown and Rodolfo H. Torres
Uniqueness in the inverse conductivity problem for conductivites with 3/2 derivatives in L^p , p > 2n
Paper(204K) Paper (PDF)

2001

2001-14 Seongjai Kim
On Accuracy and Efficiency of 3D Eikonal Solvers
Abstract Paper(933K) Paper (PDF) Abstract (PDF)

2001-13 Seongjai Kim
3D Eikonal Solvers, Part III: Amplitude Computation
Abstract Paper(538K) Paper (PDF) Abstract (PDF)

2001-12 David R. Adams and Jai Xiao
Strong Type Estimates for Homogeneous Besov Capacities
Paper(219K) Paper (PDF)

2001-11 David R. Adams and Ritva Hurri-Syrjanen
Vanishing Exponential Integrability for Functions whose Gradients Belongs to L^n ( log ( e + L ))^alpha
Abstract Abstract (PDF)

2001-10 David R. Adams and Ritva Hurri-Syrjanen
Capacity Estimates
Abstract Abstract (PDF)

2001-09 Seongjai Kim
Edge-Preserving Noise Removal, Part I: Second-Order Anisotropic Diffusion
Abstract Paper(252K) Paper (PDF) Abstract (PDF)

2001-08 Francois Margot
Pruning by Isomorphism in Branch-and-Cut
Abstract Paper(229K) Paper (PDF) Abstract (PDF)

2001-07 Steve Hofmann, John Lewis and Kaj Nystrom
Caloric Measure in Parabolic Flat Domains
Abstract Paper(769K) Paper (PDF) Abstract (PDF)

2001-06 Abraham Punnen, Francois Margot and Santosh Kabadi
TSP Heuristics: Domination Analysis and Complexity
Abstract Paper(264K) Paper (PDF) Abstract (PDF)

2001-05 Qiang Ye
On Latouche-Ramaswami's Logarithmic Reduction Algorithm for Quasi-birth-and-death Processes
Abstract Paper(257K) Paper (PDF) Abstract (PDF)

2001-04 Seongjai Kim and Soohyun Kim
Multigrid Simulation for High-Frequency Solutionss of the Helmholtz Problem
Abstract Paper(536K) Paper (PDF) Abstract (PDF)

2001-03 Jim Douglas, Jr. and Seongjai Kim
Improved Accuracy for Locally One-Dimensional Methods for Parabolic Equations
Abstract Paper(273K) Paper (PDF) Abstract (PDF)

2001-02 Gene H. Golub and Qiang Ye
An Inverse Free Preconditioned Krylov Subspace Method for Symmetric Generalized Eigenvalue Problems
Abstract Paper(405K) Paper (PDF) Abstract (PDF)

2001-01 Chi-Sing Man and Leigh Noble
Designing textured polycrystals with specific isotropic material tensors: the ODF method
Abstract Paper(242K) Paper (PDF) Abstract (PDF)

2000

2000-37 Seongjai Kim
3D Eikonal Solvers, Part II: First-Arrival Traveltimes
Abstract Paper(535K) Paper (PDF) Abstract (PDF)

2000-36 Ren-Cang Li
Unconventional Reflexive Numerical Methods for Matrix Differential Riccati Equations
Abstract Paper(134K) Paper (PDF) Abstract (PDF)

2000-35 Seongjai Kim
Fractional Time-Stepping Methods for Unsteady Flow Problems
Abstract Paper (653K) Paper (PDF)

2000-34. Seongjai Kim
3D Eikonal Solvers, Part I: First-Arrival Traveltimes
Abstract Paper (456K) Paper (PDF)

2000-33 Ninoslav Truhar and Ren-Cang Li
A sin 2 THETA Theorem for Graded Indefinite Hermitian Matrices,
Abstract Paper(218K) Paper (PDF) Abstract (PDF)

2000-32 ChangYou Wang
Limits of Solutions to the Generalized Ginzburg-Landau Functional
Abstract Paper (273K) Paper (PDF)

2000-31 FangHua Lin and ChangYou Wang
Harmonic and Quasi-Harmonic Spheres, Part III
Abstract Paper (479K) Paper (PDF)

2000-30 FangHua Lin and ChangYou Wang
Harmonic and Quasi-Harmonic Spheres, Part II
Abstract Paper (294K) Paper (PDF)

2000-29 Francois Margot, Maurice Queyranne and Yaoguang Wang
Decompositions, Network Flows and a Precedence Constrained Single Machine Scheduling Problem
Abstract Paper (268K) Tables Paper (PDF) Tables (PDF)

2000-28 Ren-Cang Li
Accuracy of Computed Eigenvectors via Optimizing a Rayleigh Quotient
Abstract Paper (151K) Paper (PDF)

2000-27 Francois Margot
Small Covering Designs by Branch-and-Cut
Abstract Paper (217K) Paper (PDF)

2000-26 David R. Adams and Suzanne Lenhart
Optimal Control of the Obstacle For a Parabolic Variational Inequality
Abstract Paper (160K) Paper (PDF)

2000-25 David R. Adams and Suzanne Lenhart
An Obstacle Control Problem With a Source Term
Abstract Paper (184K) Paper (PDF)

2000-24 Ren-Cang Li
A Note on Eigenvalues of Perturbed Hermitian Matrices
Abstract Paper (138K) Paper (PDF)

2000-23 Rajendra Bhatia, William Kahan and Ren-Cang Li
Pinchings and Norms of Scaled Triangular Matrices
Abstract Paper (159K) Paper (PDF)

2000-22 Chi-Sing Man and Mojia Huang
Identification of Material Parameters in Yield Functions
and Flow Rules for Weakly-Textured Sheets of Cubic Metals
Abstract Paper (244K) Paper (PDF)

2000-21 Chi-Sing Man
On the r-value of weakly-textured sheet metals
Abstract Paper (247K) Paper (PDF)

2000-20 Ren-cang Li
Test Positive Realness of a General Transfer Function Matrix
Abstract Paper (193K) Paper (PDF)

2000-19 Don Coppersmith and Jon Lee
Indivisibility and Divisibility Polytopes
Abstract Paper (284K) Paper (PDF)

2000-18 Zhongwei Shen
Absolute Continuity of Periodic Schrodinger Operators with Potentials in the Kato Class
Abstract Paper (260K) Paper (PDF)

2000-17 Seongjai Kim and David P. Chock
Dual-Mesh Characteristics for Particle-Mesh Methods for Convection-Dominated Diffusion Problems
Abstract Paper (362K) Paper (PDF)

2000-16 Seongjai Kim, Harold L. Atwood, and Robin L. Cooper
Assessing Accurate Sizes of Synaptic Vesicles in Nerve Terminals
Abstract Paper (2948K) Paper (PDF)

2000-15 Lawrence A. Harris
Optimal Oscillation Point for Polynomials of Restricted Growth on the Real Line
Abstract Paper (142K) Paper (PDF)

2000-14 Lawrence A. Harris
Banach Algebras Where the Singular Elements are Removable Singularities
Abstract Paper (201K) Paper (PDF)

2000-13 Carl Eberhart and J.B. Fugate
Open maps between Knaster continua
Abstract Paper (376K) Paper (PDF)

2000-12 Carl Eberhart and J.B. Fugate
Universal maps on trees
Abstract Paper (235K) Paper (PDF)

2000-11 Peter Perry
Asymptotics of the Length Spectrum for Hyperbolic Manifolds
Abstract Paper (127K) Paper (PDF)

2000-10 S.J. Patterson and Peter Perry
The Divisor of Selberg's Zeta Function for Kleinian Groups
Abstract Paper (554K) Paper (PDF)

2000-09 Peter Perry
Poisson Summation Formula for Hyperbolic Manifolds
Abstract Paper (163K) Paper (PDF)

2000-08 Seongjai Kim
A Numerical Algorithm for Fluid Flows in 3D Naturally Fractured Porous Media
Abstract Paper (635K) Paper (PDF)

2000-07 Alan Hoffman, Jon Lee and Joy Williams
New Upper Bounds for Maximum-Entropy Sampling
Abstract Paper (127K) Paper (PDF)

2000-06 Seongjai Kim
Numerical Methods for Advancing Interfaces
Abstract Paper (681K) Paper (PDF)

2000-05 Seongjai Kim
Splitting of Expanded Tridiagonal Matrices
Abstract Paper (228K) Paper (PDF)

2000-04 Clasine van Winter
Chaotic and Irreversible Properties of Quantum Scattering Systems
Abstract Paper(417K) Paper (PDF) Abstract (PDF)

2000-03 Seongjai Kim and Daniel Folie
The Group Marching Method: An O(N) Level Set Solver
Abstract Paper (275K) Paper (PDF)

2000-02 Jim Douglas, Jr. and Seongjai Kim
On Accuracy of Alternating Direction Implicit Methods for Parabolic Equations
Abstract Paper (192K) Paper (PDF)

2000-01 Seongjai Kim
An O(N) Level Set Method
Abstract Paper (498K) Paper (PDF)

1999

99-18. Ren-Cang Li
On Perturbations of Matrix Pencils with Real Spectra
Abstract Paper (250K)

99-17. Roberto Paroni
Optimal Bounds on Texture Coefficients
Abstract Paper (204K)

99-16. Roberto Paroni and Chi-Sing Man
Two Micromechanical Models in Acoustoelasticity: a Comparative Study
Abstract Paper (282K)

99-15. Zhongwei Shen
The Periodic Schrodinger Operator with Potentials in the C. Ferrerman-Phong Class
Abstract Paper (323)

99-14. Seongjai Kim
Artificial Damping in Multigrid Methods
Abstract Paper (2674K)

99-13. Seongjai Kim
Wavefronts of Linear Elastic Waves: Local Convexity and Modeling
Abstract Paper (392K)

99-12. Ren-Cang Li
Relative Perturbation Theory
Abstract Paper (275)

99-11. Jay M. Jahangiri
Starlike and Convex Harmonic Mappings

99-10. Jon Lee and Joy Williams
Generalized Maximum-Entropy Sampling
Abstract Paper (186K)

99-09. Hi Jun Choe and John L. Lewis
On the Singular Set in the Navier-Stokes Equations

99-08. David R. Adams
Weakly Elliptic Systems with Obstacle Constraints: part III - Complex Eigenvalues and Singular Systems
Paper (149K)

99-07. John L. Lewis and Andrew Vogel
On Pseudospheres that are Quasispheres

99-06. Jerry R. Muir, Jr.
Holomorphic Idempotents and Retracts in the Unit Ball of a Commutative C-algebra with Identity

99-05. Seongjai Kim
CSTART: An Automatic Generator for Main and Input/Output Routines
Abstract Paper (175K)

99-04. Seongjai Kim
The Modified Method of Incomplete Characteristics for Convection-Dominated Diffusion Problems
Abstract Paper (131K)

99-03. Douglas Riley
Global Existence of Strong Solutions to the Three-Dimensional Incompressible Navier-Stokes Equations with Special Boundary Conditions

Abstract Paper (302K)

99-02. Zhongwei Shen
On Fundamental Solutions of Generalized Schrödinger Operators
Abstract Paper (375K)

99-01. John Allen Kuchenbrod
Extremal Problems on Integer-Weighted Graphs
Abstract Paper (268K)

1998

98-26. P.D. Hislop and D.A.W. White
The Scattering Matrix and its Meromorphic Continuation in the Stark Effect Case

98-25. Jon Lee and Dan Wilson
Polyhedral Methods for Piecewise-Linear Functions I: The Lambda Method.

98-24. Seongjai Kim
3D Finite Difference Traveltimes

98-23. Kurt Anstreicher, Marcia Fampa, Jon Lee and Joy Williams
Maximum-Entropy Remote Sampling

98-22. Seongjai Kim
Multigrid Domain Decomposition Method for the Pressure Equation Arising in Reservoir Simulation

98-21. Ren-Cang Li
A Bound on the Solution to a Structured Sylvester Equation with an Application to Relative Perturbation Theory

98-20. Craig C. Douglas, Ulrich Rüde, Jonathan Hu, and Marco L. Bittencourt
A Guide to Designing Cache Aware Multigrid Algorithms
Paper (59K)

98-19. Marco L. Bittencourt, Craig C. Douglas, Raul A. Feijóo
Non-nested and Non-structured Multigrid Methods Applied to Elastic Problems. Part I: The Two-Dimensional Case
Paper (208K)

98-18. Marco L. Bittencourt, Craig C. Douglas, Raul A. Feijóo
Non-nested and Non-structured Multigrid Methods Applied to Elastic Problems. Part II: The Three-Dimensional Case
Paper (370K)

98-17. Marco L. Bittencourt, Craig C. Douglas, Raul A. Feijóo
Adaptive Non-Nested Multigrid Methods
Paper (523K)

98-16. Marco L. Bittencourt, Craig C. Douglas, Raul A. Feijóo
Non-Nested Multigrid Methods for Linear Problems
Paper (352K)

98-15. Zhongwei Shen
On Absolute Continuity of the Periodic Schrödinger Operators
Abstract Paper (119K)

98-14. David R. Adams
The Biharmonic Obstacle Problem with Varying Obstacles and a Related Maximal Operator
Abstract Paper (81K)

98-13. Ren-Cang Li
A Multi-Resolution Approach for Calculating Primary Eigenvectors of a Large Set of Images
Abstract Paper (234K)

98-12. Russell Brown and Wei Hu
Boundary Value Problems for Higher Order Parabolic Equations
Abstract Paper (124K)

98-11. Edgar E. Enochs
Homotopy Groups of Connected Envelopes of Compact Abelian Groups
Abstract Paper (39K)

98-10. Edgar E. Enochs, Overtoun M.G. Jenda, Blas Torrecillas, and Jinzhong Xu
Torsion Theory Relative to Ext
Abstract Paper (72K)

98-09. Lawrence A. Harris
Coefficients of Polynomials of Restricted Growth on the Real Line
Paper (63K) Table I (7K) Table II (7K)

98-08. Clasine van Winter
Chaotic Observables for a Free Quantum Particle
Paper (100K)

98-07. Clasine van Winter
An Increasing Entropy for a Free Quantum Particle
Paper (111K)

98-06. Edgar E. Enochs and Overtoun M. G. Jenda
A Survey of Covers and Envelopes
Abstract Paper (70K)

98-05. Russell M. Brown, Peter A. Perry, and Zhongwei Shen
On the Dimension of the Attractor for the Non-Homogeneous Navier-Stokes Equations in Non-Smooth Domains
Paper (89K)

98-04. J. M. Combes, P. D. Hislop, and A. Tip
Band Edge Localization and the Density of States Acoustic and Electromagnetic Waves in Random Media
Abstract Paper (184K)

98-03. J. M. Combes, P. D. Hislop, and E. Mourre
Correlated Wegner Inequalities for Random Schrödinger Operators
Abstract Paper (95K)

98-02. P. D. Hislop
Some Recent Results on Random Operators
Abstract Paper (83K)

98-01. David R. Adams and Ronald F. Vandenhouten
Stability for Polyharmonic Obstacle Problems with Varying Obstacles
Abstract Paper (110K)

1997

97-07. Roberto Paroni
Stochastic Homogenization of Polycrystalline Aggregates

97-06. Michele Conforti, Gérard Cornuéjols, Ajai Kapoor, and Kristina Vuskovic
Even-Hole-Free Graphs Part II: Recognition Algorithm

97-05. Michele Conforti, Gérard Cornuéjols, Ajai Kapoor, and Kristina Vuskovic
Even-Hole-Free Graphs Part I: Decomposition Theorem

97-04. Michele Conforti, Gérard Cornuéjols, and Kristina Vuskovic
Balanced Cycles and Holes in Bipartite Graphs

97-03. Celina M. Herrera de Figueiredo and Kristina Vuskovic
A Class of beta-Perfect Graphs

97-02. David R. Adams
Choquet Integrals in Potential Theory

97-01. Steve Hofmann and John L. Lewis
The Dirichlet Problem for Parabolic Operators with Singular Drift Terms

1996