ODU Mathematics and Statistics Technical Reports
Note: In case you'd like to have a hardcopy of one of the following research
reports please email one of the authors or send an email to
Barbara Jeffrey.
Some reports are under consideration for publication and will be
distributed at the discretion of the authors.
For publications before 2000 please check individual webpages the authors might
maintain.
In order to read some of the documents below you might have to install Adobe
Acrobat Reader (for PDF files) or GSView (for PostScript
files)
Jump to 2000 2001
2002
2002 Reports
-
TR-2002-01
N. R. Chaganty and A. Vaish:
Wishartness and Independence of Matrix
Quadratic Forms For Kronecker Product Covariance Structures. (Abstract in PDF).
Submitted for publication.
-
TR-2002-02
M. Wagner, J. Meller and
R. Elber: Large-Scale Linear Programming Techniques for the Design of
Protein Folding Potentials. (PDF, PostScript).
Submitted to Mathematical
Programming B.
-
TR-2002-03
C. Bellomo and J. Adam: Mathematical Models of Tumors and Their Remote
Metastases.
Appears in Handbook of Computational Methods in Biomaterials,
Biotechnology, Kluwer Academic Publishers (2002).
-
TR-2002-04
N. Hutchinson:
Discovering Geometry with Geometer Sketchpad: The 9-Point
Circle. (MS
Word-Document).
Invited Tutorial Presentation at The
14th Annual International Conference on Technology on
Collegiate Mathematics, Baltimore, MD (Nov. 2001).
-
TR-2002-05
L. Huyse, S. Padula, W. Li and R. Lewis:
A Probablistic Approach to Free-Form Airfoil Shape Optimization under
Uncertainty .
To appear in AIAA Journal, 2002.
-
TR-2002-06
S. Blumenthal and R. Dahiya:
Estimating Scale and Truncation Parameters for the
Truncated Exponential Distribution with Type I Censored
Sampling. (Abstract).
Submitted to Communications in Statistics.
-
TR-2002-07
R. Dahiya and S. Blumenthal:
Examples where the Maximum Likelihood Estimator has Small
Asymptotic Efficiency. (Abstract).
To appear in Proceesings of Hawaii International
Conference on Statistics, June 2002.
- TR-2002-08
N. R. Chaganty and Genming Shi:
A note on the estimation of autocorrelation in
repeated measurements.
Submitted for publication.
- TR-2002-09
D. N. Naik: Diagnostic Methods for Univariate and Multivariate
Normal Data.
To appear as a chapter in Handbook of Statistics: Statistics in
Industry. Elsevier Science Publishers.
2001 Reports
-
TR-2001-01
W. Li, L. Huyse and
S. Padula: Robust airfoil optimization to achieve consistent
drag reduction over a Mach range.
(PostScript,
PDF).
A modified version will appear in Structural
Optimization (2002).
-
TR-2001-02
J. Meller, M. Wagner
and R. Elber: Maximum Fesibility Guideline in the Design of
Protein Folding Potentials .
Appears in J.
Computational Chemistry, 23:111-118, 2002
-
TR-2001-03
X.-C. Cai, D. E. Keyes and
D. P. Young: A Nonlinearly Additive
Schwarz Preconditioned Inexact Newton Method for Shocked Duct Flow,
(PostScript,
PDF).
To appear in Proceedings of the 13th International Conference on Domain
Decomposition Methods.
-
TR-2001-04
D. N. Naik and
S. Prabhala: Prediction in Growth Curve Models
Under Markov Covariance Structure, (PostScript).
To appear in Journal of Applied
Statistical Science.
-
TR-2001-05
A. M. Hartley and D. N. Naik:
Estimation of familial correlations under autoregressive circular covariance, (Abstract in PDF).
Appears in Communications in Statistics,
30:1811-1828, 2001.
-
TR-2001-06
W. D. Gropp, D. K. Kaushik, D. E. Keyes and B. F. Smith:
High Performance Parallel Implicit CFD, (PDF).
Appears in
Parallel Computing
27:337-362, 2001.
-
TR-2001-07
R. Khattree and D. N. Naik:
Association in Contingency Tables,
Correspondence Analysis, and (Modified) Andrews Plots, (PostScript).
To appear as a chapter in Goodness-of-fit Tests and Validity of
Models, edited by N. Balakrishnan, C. Huber, M. Nikulin and M. Mesbah.
To be published by Birkhäuser, Boston.
-
TR-2001-08
J. Adam: Healing Times for Circular Wounds on Plane and
Spherical Bone Surfaces, (Abstract in
PostScript, PDF).
Appears in
Applied
Mathematics Letters, 15 (2002) p.55-58.
-
TR-2001-09
J. Adam: The Effect of Surface Curvature on Wound Healing in
Bone , (Abstract in
PostScript, PDF).
Appears in
Applied
Mathematics Letters, 15 (2002) p.59-62.
-
TR-2001-10
J. Adam:
The Effect of Surface Curvature on Wound Healing in Bone: II.
The Critical Size Defect
, (Abstract in
PostScript, PDF).
Appears in
Mathematical
and Computer Modelling, V35, 9-10, 2002.
-
TR-2001-11
J. Adam: The Mathematical Physics of Rainbows and Glories
, (Abstract in
PostScript, PDF).
Appears in
Physics Reports, v. 365, no. 4-5, p. 229-365, Jan 2002.
-
TR-2001-12
N. R. Chaganty:
Analysis of the growth curve model using
quasi-least squares.
Appears in Journal of Statistical Planning and Inference.
-
TR-2001-13
R. C. Dahiya, P. G. Staneski, and
N. R. Chaganty: Maximum
likelihood estimation of parameters of the truncated Cauchy distribution
(Abstract in PDF).
Appears in Communications in Statistics
30:1737-1750, 2001.
-
TR-2001-15
C. Cooke and J. Kroll: On the Existence of Periodic Solutions to Certain
Impulsive Differential Equations. (Abstract in clear text)
To appear in Computers and
Mathematics with Applications.
-
TR-2001-16
C. Cooke and J. Kroll: Parameter Studies of Modal Vibrations Associated
with Impurity Pinned Dislocations in a Metal Single Crystal. (Abstract in
clear text)
Appears in Numerical Methods in PDE, Vol. 17, pp 427-439, John
Wiley & Sons.
-
TR-2001-17
D. A. Schult, C. A. Spade, and V. A. Volpert: Dopant Distribution in
Isothermal Frontal Polymerization.
To appear in Appl. Math.
Letters.
-
TR-2001-18
C. A. (Spade) DeBisschop, R. J. Braun, and S. A. Snow: Bounded Film
Evolution with Nonlinear Surface Properties.
Submitted to J. Fluid Mech.,
September 2001.
-
TR-2001-19
M.J. Ablowitz and C. M.
Schober:
Chaotic Dynamics of Modulational Instability in Optical Fibers. (Abstract
in
PDF)
Submitted to Optics Letters, 2001.
-
TR-2001-20
A. Calini and C. M. Schober:
The Role of Homoclinic Chaos in the
Generation of Rogue Waves. (Abstract in
PDF)
Submitted to
Physics Letters A, 2001.
-
TR-2001-21
A. L. Islas and C. M. Schober:
Spectral Multi-Symplectic
Methods for Nonlinear Wave Equations. (Abstract in
PDF)
Submitted to Math. Comp. Simul., 2001.
-
TR-2001-22
M. J. Ablowitz, D. Henderson, J. Hammack and C. M. Schober:
Longtime Dynamics of the Modulational Instability of
Deep Water Waves. (Abstract in
PDF)
Appears in Physica
D, 2001, v. 152-153, 416-433.
-
TR-2001-23
D. Karpeev and C. M. Schober:
Symplectic Integrators for
Discrete Nonlinear Schrödinger Systems. (Abstract in
PDF)
Appears in Math. Comp. Simul., 2001, v. 56, 145-156.
-
TR-2001-24
A. Calini and C. M. Schober:
Mel'nikov Analysis of a Symmetry-Breaking Perturbation of
the NLS Equation. (Abstract in
PDF)
Appears in Math. Comp. Simul, 2001, v. 55, 351-364.
-
TR-2001-25
A. L. Islas, D. Karpeev and C. M. Schober:
Geometric Integrators
for the Nonlinear Schrödinger Equation. (Abstract in
PDF)
Appears in Journal
of Computational Physics, 2001, v. 172, 1-33.
-
TR-2001-26
A. Calini, G. Kovacic and C. M. Schober:
Theta Function Solutions of the Maxwell-Bloch Equations. (Abstract in
PDF)
-
TR-2001-27
M. J. Ablowitz, B. Herbst and C. M. Schober:
Discretizations, Integrable Systems and Computation. (Abstract in
PDF)
Accepted for publication in Journal of Physics A, 2001.
-
TR-2001-28
H. Kaneko, G. J. W. Hou and K. S. Bey:
Discontinuous Galerkin Finite Element Method For Parabolic Equation.
(Abstract)
Submitted for publication.
-
TR-2001-29
X.-C. Cai, D. E. Keyes
and
L. Marcinkowski: Nonlinear
Additive Schwarz Preconditioners and Applications in Computational Fluid
Dynamics. (PDF version).
Submitted to Int. J. of Numerical Methods in Fluids.
2000 Reports
-
TR-2000-01
D. E. Keyes, P. D. Hovland,
L. C. McInnes and W. Samyono: Using Automatic Differentiation for Second-order
Matrix-free Methods in PDE-constrained Optimization, (PostScript, PDF).
Appears
in Proceedings of Automatic Differentiation 2000,
pp. 33-50, Springer.
-
TR-2000-02
X.-C. Cai and D. E. Keyes: Nonlinearly Preconditioned Inexact
Newton Algorithms, (PostScript,
PDF).
To appear in SIAM
J. Sci. Comp.
-
TR-2000-03
W. D. Gropp, D. E. Keyes, L. C. McInnes and M. D. Tidriri:
Globalized Newton-Krylov-Schwarz Algorithms and Software for Parallel
Implicit CFD, (PostScript, PDF).
Appears in Int.
J. High Performance Computing Applications 14:102-136, 2000.
- TR-2000-04
W. Li and
J. de Nijs: An Implementation of QSPLINE Method
for Solving Convex Quadratic Programming Problems With Simple Bound
Constraints (
PostScript).
To appear in J. Mathematical Sciences.
- TR-2000-05
W. Li, C. Nahak
and I. Singer: Constraint qualifications
for semi-infinite systems of convex inequalities and applications
(PostScript),
Appears in SIAM
J. Optim, 11
(2000), no. 1, 31--52.
- TR-2000-06
R. C. Dahiya, S. Saha, and H. Lakkis: Estimation of Exploitation
by Combining Mark-Recapture Procedures with a Creel Survey (Abstract in
plain text).
Appears in Biometrics,
56, pp. 409-413.
- TR-2000-07
J.W. Wilson, M.S. Clowdsley, J.L. Shinn, R.C. Singleterry,
R.K.TRipathi, F.A. Cucinotta, J.H.Heinbockel, F.F. Badavi and
W. Atwell: Neutrons in Space: Shield Models and Design
Issues.
Appears in Proceedings of the 30th International Conference on
Environmental Systems (ICES).
- TR-2000-08
M.S. Clowdsley, J.W.Wilson, M.Y. Kim, R.C.Singleterry, R.K. Tripathi, J.H.
Heinbockel, F.F. Badavi, J.L. Shinn: Neutron Environments on the Martian
Surface.
Appears in Proceedings of the 11th Annual
NASA Space Radiation Health Investigators Workshop, Arona,
Italy, May 27-31, 2000, to be published in Physica Medica.
- TR-2000-09
J.W. Wilson, F.F. Badavi, M.Y. Kim, J.L. Shinn, R.C. Singleterry, F.A.
Cucinotta, G.D. Badhwar, W. Atwell, M.S. Clowdsley, J.H. Heinbockel,
S.L Huston: Cosimic-ray induced neutron environment in low Earth Orbit
Submitted to Acta Astrounauta, November 2000.
- TR-2000-10
J. M. Dorrepaal: Is Two-Dimensional Oblique Stagnation-Point Flow
Unique?.
Appears in Canadian Applied Mathematics Quarterly Volume 8,
Number 1.
- TR-2000-11
F. Deutsch, W. Li, and J. Ward: Best approximation from the intersection
of a closed convex subset and a polyhedron in Hilbert space, weak Slater
conditions, and the strong conical hull intersection property,
Appears in SIAM J. Optim., 10 (2000), pp252-268.
- TR-2000-12
M. Finzel and W. Li: Piecewise affine selections for piecewise polyhedral
multifunctions and metric projections.
Appears in J. Convex Anal., 7 (2000), 73-94.
- TR-2000-13
M. Bartelt and W. Li: Exact order of Hoffman's error bounds for elliptic
quadratic inequalities derived from vector-valued Chebyshev approximation.
Appears in Math. Programming, Ser. B, 88 (2000), 223-253.
- TR-2000-14
C. Nahak and W. Li: Properties of exact penalty functions derived from the
regularized gap function for variational inequalities.
Submitted to J. Optim. Theory Appl.
- TR-2000-15
J.A. Schnorr, M. J. Doviak, S. J. Muasher, H. W. Jones: The Impact Of A
Cryopreservation Program Upon The Multiple Pregnancy Rate Associated With
Assisted Reproductive Technologies
Appears in Fertility and Sterility Volume 75, Number 1, January 2001.
- TR-2000-16
J. Tweed, G. Melrose and G. Kerr: Stress Intensification Due to an Edge
Crack in an Anisotropic Elastic Solid.
Appears in Intl. Jnl. of Fracture, 100, 1, 2000 (47-56).
- TR-2000-17
J. Tweed, G. Melrose and G. Kerr: The Anti-Plane Shear Problem for an
Anisotropic Half-Plane with a Line Crack.
Submitted to Mathematics and Mechanics of Solids
- TR-2000-18
F. Q. Hu: Results of benchmark problems for the third
computational aeroacoustics workshop.
In press, NASA CP, also in CDROM.
- TR-2000-19
P. Rasearinera, M. Y. Hussaini and F. Q. Hu: Some
remarks on the accuracy of a discontinuous Galerkin method.
Appears in Discontinuous Galerkin Methods, eds Cockburn
et al., Page 407-412, in Lecture Notes in Computational
Science and Engineering, Vol.11.
- TR-2000-20
M.S.Clowdsley, J.H.Heinbockel, H. Kaneko et.al: A Comparison of the
Multigroup and collocation Methods for Solving the Low
Energy Neutron Boltzmann Equation
Appears in Canadian Journal of Physics, Vol. 78 45-56 (2000).
- TR-2000-21
H. Kaneko, Y. Xu and P. Padilla: Superconvergence of the Iterated
Degenerate Kernel Method.
To appear in Applicable Analysis
- TR-2000-22
P. Daffer and H. Kaneko: Variational Principle and Fixed Points.
Appears in Set Valued Mappings With Applications In Nonlinear Analysis,
edited by R.P.Argawal, Gordon and Breach Publishers, Newark, NJ; Kent Ridge,
Singapore.
- TR-2000-23
H. Kaneko and R. Noren: The Petrov-Galerkin method for Nonlinear Integral
Equations.
Submitted.
- TR-2000-24
P. Daffer and H. Kaneko: On a Construction of Wavelets.
Submitted.
- TR-2000-25
T.-J. Chen, J.-T. Lin, and C. H. Cooke:
On The Range Of The Iterated Matrix Adjoint Operator
Appears in CAM 3837, Vol. 41, No. 1/2, pp.97-102, (2001)
- TR-2000-26
P. Bogacki: Interactive Tutorials and Tests for Calculus.
Appears in Proceedings of the 12th International Conference on Technology in
Collegiate Mathematics, G. Goodell, Ed., pp. 24-28, Addison-Wesley,
Reading, MA, 2000
- TR-2000-27
D. Naik and
S. Rao: Analysis of multivariate repeated measures data
with a Kronecker product structured covariance matrix.
Appears in Journal of Applied Statistics, 2001, 28, 91-105.
- TR-2000-28
R. Khattree and D. Naik:
Andrews plots for multivariate data: Some new suggestions and applications.
Appears in Journal of Statistical Planning and Inference, 2002, 100, 411-425.
- TR-2000-29
N. R. Chaganty and
D. Naik:
Analysis of multivariate longitudinal data using
quasi-least squares.
Appears in Journal of Statistical Planning and Inference,
2002, 103, 421-436.
- TR-2000-30
C. A. Spade and V. A. Volpert: On the Steady-State Approximation in Thermal
Free Radical Frontal Polymerization.
Appears in Chem. Eng.
Sci., 55 (2000), pp 641-654.
- TR-2000-31
C. A. Spade and V. A. Volpert: Mathematical Modelling of Interfacial Gel
Polymerization for Weak and Strong Gel Effects.
Appears in
Macromol. Theory Simul., 9 (2000) pp 26-46.
- TR-2000-32
C. A. Spade and V. A. Volpert: Linear Stability Analysis of Nonadiabatic
Free Radical Polymerization Waves.
Appears in Combustion
Theory and Modelling, 5 (2001) pp 21-39.
- TR-2000-33
M. J. Ablowitz, D. Henderson, J. Hammack and C. M. Schober:
Modulated Periodic Stokes Waves in Deep Water. (Abstract in PDF)
Appears in Physical Review Letters, 2000, v. 84,
887--890.
- TR-2000-34
M.J. Ablowitz, D. Henderson, J. Hammack and C. M. Schober:
Chaotic Dynamics in Deep Water Gravity Waves. (Abstract in
PDF)
Appears in
SIAM Proceedings of the SIAM Fifth International Conference on
Mathematical and Numerical Aspects of Wave Propagation,
July 2000, 255--260.
- TR-2000-35
E. Hairer and C. M. Schober:
Symplectic Integrators for the Ablowitz-Ladik Discrete Nonlinear
Schrödinger Equation: Implementation Issues. (Abstract in
PDF)
Appears in
Physics Letters A, 2000, v. 272, 421--422.
- TR-2000-36
D. Karpeev and C. M. Schober:
Generating Functions and
Symplectic Integrators for Nonlinear Schrödinger Systems. (Abstract in
PDF)
Appears in
Proceedings of the 16th IMACS World Congress,
Eds. M. Deville and R. Owens, 2000.
- TR-2000-37
D. Karpeev and C. M. Schober:
Numerical Study of Spatio-temporal Chaos in the
Perturbed Maxwell-Bloch Equations. (Abstract in
PDF)
Appears in
Recent Advances in Applied and Theoretical Mathematics,
Ed. T. Mastorakis, ISBN 960-8052-21-1, 2000, 84--90.
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