Publications and Preprints

We are attempting to construct a list of all publications, with links to preprints and/or journals when available. Very Incomplete so far!

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Special archive

Presentation of Professor Greg Fasshauer's memorial lecture "Remembering Gene Golub: From Chicago to Stanford to Around the World." Given on Fri., February 29, 2008

Publications and Preprints

Snejana Abarji, Ph.D.
Selected Publications

Regular and singular late-time asymptotes of potential motion of fluid with a free-boundary, Phys. Fluids 12 (2000), 3112-3120
Nonlinear evolution of unstable fluid interface, Phys. Rec. E 66, art.036301 (2002)
Influence of parametric forcing on non-equilibrium dynamics of wave patterns, Physics Rev. E, 75, 046208 (2007) (with O. Desjardins, A. Nepomnyaschy, H. Pitsch)
Error Correcting sparse permutation channel codes for digital holographic data storage, Proceedings of the SPIE 6620 (2007) (with S.S. Orlov, K.V. Shcheglov, H. Liu)
Stability of monochromatic waves induced by a parametric forcing, in preparation (with A. Nepomnyaschy)
An effective model for pattern recognition in neural networks, in preparation

Andre Adler, Ph.D.
Selected Publications

On Exact Strong Laws for Sums of Multidimensionally Indexed Random Variables, with Yongcheng Qi, Probability and Mathematical Statistics, Vol. 32 (2003), pp. 305-313.
Generalized One-Sided Laws for the Larger Observations of a Triangular Array, Journal of Theoretical Probability, Vol. 15 (2002), pp. 939-949.
Exact Strong Laws For Multidimensionally Indexed Random Variables, Journal of Multivariate Analysis, Vol. 77 (2001), pp.73-83.
Exact Strong Laws, Bulletin of the Institute of Mathematics Academia Sinica}, Vol. 28 (2000), pp. 141-166.
A Note on the ``Fair'' Games Problem, Sankhya Series A, Vol. 56 (1994), pp.164-173.
Stability of Sums of Independent Random Variables, with Rainer Wittmann, Stochastic Processes and their Applications, Vol 52 (1994), pp.179-182.

Barry Bernstein, Ph.D.
Publications

No Publications Found

Igor Cialenco, Ph.D.
Complete Publications

Parameter estimation in diagonalizable bilinear stochastic parabolic equations, with Sergey V. Lototsky [Preprint]
On the spectrum of the perturbed differential operators with periodic coefficients [Preprint]
The profitability of technical trading rules in the foreign exchange market: evidence from eight currencies, with A. Protopapadakis [Preprint]
The Reaction of Term Structure of Interest Rates to the Monetary Policy Actions, with L. Goukasian, Journal of Fixed Income, vol 16, 2, pp. 76-91, Fall 2006 [Paper]
On the nonselfadjoint perturbations of the Wiener-Hopf integral operators, Operator theoretical methods (Timisoara), Theta Found., Bucharest, pp. 87-95, 2000 [Paper]
On the point spectrum of nonselfadjoint perturbed operators of Wiener-Hopf type, Mathematical analysis and applications, Scientific Annals of University A.I.Cuza, Iasi, v.XLIV, pp. 485-496, 1998 [Paper]
Finiteness of the point spectrum of some nonselfadjoint operators close to the operators generated by Jacobi matrices, with P. Cojuhari, Bul. Acad. Stiinte Repub. Mold. Mat., 3(28), pp. 65-70, 1998 [Paper]
Finiteness of eigenvalues of some integro-differential operators, with M.M. Stanescu, Bul. Acad. Stiinte Repub. Mold. Mat., 2(27), pp. 117-119, 1998 [Paper]

Jinqiao (Jeffrey) Duan, Ph.D.
Complete Publications

Large deviations for the Boussinesq equations under random influences, with A. Millet Submitted, 2007.
Predictability of the Burgers dynamics under model uncertainty, with D. Blomker, Stochastic Differential Equations: Theory and Applications, P. Baxendale and S. Lototsky (Eds.), p.71-90, World Scientific, New Jersey, 2007. [Paper]
Exponential stability of non-autonomous stochastic partial differential equations with finite memory, with L. Wan, Statistics & Probability Letters, in press, 2007. [Paper]
Homogenized dynamics of stochastic partial differential equations with dynamical boundary condition, with W. Wang, Comm. Math. Phys. 275 (2007), 163-186. [Paper]
An impact of stochastic dynamic boundary conditions on the evolution of the Cahn-Hilliard system, with D. Yang, Stochastic Analysis and Applications 25 (2007), 613-639. [Paper]
Effective macroscopic dynamics of stochastic partial differential equations in perforated domains, with W. Wang and D. Cao, SIAM J. Math. Anal. 38 (2007), 1508-1527. [Paper]
A dynamical approximation for stochastic partial differential equations, with W. Wang, J. Math. Phys., 48, No. 10, 2007. [Paper]
Invariant manifold reduction for stochastic dynamical systems, with A. Du, Dynamical Systems and Applications 16 (2007), 681-696. [Paper]
Invariant manifolds for stochastic partial differential equations, with K. Lu and B. Schmalfuss, Annals of Probability 31(2003), 2109-2135. [Paper]
Stable and unstable manifolds for stochastic partial differential equations, K. Lu and B. Schmalfuss, J. Dynamics and Diff. Eqns 2004, Vol. 16, No. 4, 949-972. [Paper]
A Markov jump process approximation of the stochastic Burgers equation, with C. Gugg, Stochastics and Dynamics 4(2004), No. 2, 245-264. [Paper]
Ergodic Dynamics of the Stochastic Swift-Hohenberg System, with W. Wang and J. Sun, Nonlinear Analysis B, 6 (2005), 273-295. [Paper]
Determining functionals for random partial differential equations (application to stochastic Navier-Stokes equations), with I. Chueshov and B. Schmalfuss, Nonlinear Diff. Eqns. Appl. (NoDEA) 10(2003), 431-454. [Paper]
Fractional Fokker-Planck Equation for Nonlinear Stochastic Differential Equations Driven by Non-Gaussian Levy Stable Noises, with D. Schertzer, M. Larcheveque, V.V.Yanovsky and S. Lovejoy, J. Math. Phys., 42(2001), 200-212. [Paper]
On the Stochastic Kuramoto-Sivashinsky Equation, with V. J. Ervin, Nonlinear Analysis, 44(2001), 205-216.
Stochastic parameterization for large eddy simulation of geophysical flows, with B. Nadiga, Proc. Amer. Math. Soc. 135 (2007), 1187-1196. [Paper]
Feedback stabilization for Oseen fluid equations: A stochastic approach, with A. V. Fursikov, J. Math. Fluid Mech., 7 (2005), 574 - 610.[Paper]
Impact of Boundary Conditions on Entrainment and Transport in Gravity Currents, with V. P. Bongolan-Walsh, P. Fischer, T. Ozgökmen and T. Iliescu, Applied Mathematical Modelling, 31 (2007), 1338-1350. [Paper]
Dynamics of Transport under Random Fluxes on the Boundary, with V. P. Bongolan-Walsh, and T. Ozgokmen, Communications in Nonlinear Science and Numerical Simulation, online version available doi:10.1016/j.cnsns.2006.09.019, 2006. [Paper]
Large eddy simulation of stratified mixing in two-dimensional dam-break problem in a rectangular enclosed domain, with T. Ozgokmen, T. Iliescu, P. Fischer, A. Srinivasan, Ocean Modeling, 16 (2007), 106-140. [Paper]
Ergodic dynamics of the coupled quasi-geostrophic and energy balance system, with A. Du, H. Gao, and T. Ozgokmen, Fundamental and Applied Math. (Moscow), 12 (2006), No. 6, 67-84. [Paper]
Entrainment in Bottom Gravity Currents Over Complex Topography from Three-Dimensional Non-hydrostatic Simulations, with T. Ozgokmen, P. Fischer, and T. Iliescu, Geophysical Research Letters, 31(2004), L13212. [Paper]
Three-Dimensional Turbulent Bottom Density Currents From a High-Order Non-hydrostatic Spectral Element Model, with T. Ozgokmen, P. Fischer, and T. Iliescu, Journal of Physical Oceanography, 34(2004), 2006-2026. [Paper]
Stochastic dynamics of a coupled atmosphere-ocean model, with H.Gao and B. Schmalfuss, Stochastics and Dynamics, Vol 2, No. 3, 2002, 357-380. [Paper]
The 3D Quasigeostropic Fluid Dynamics under Random Forcing on Boundary, with B. Schmalfuss, Comm. in Math. Sci. , Vol 1, No 1, 2003, 133-151. [Paper]
Enstrophy Dynamics of Stochastically Forced Large-Scale Geophysical Flows, with D. Blomker and T. Wanner, J. Math. Phys., 43 (2002), 2616-2626. [Paper]
Exponential Stability of the Quasigeostrophic Equation under Random Perturbations, with. E. Kloeden and B. Schmalfuss, Progress in Probability 49(2000), 241-256. [Paper]
Ergodicity of Stochastically Forced Large Scale Geophysical Flows, with B. Goldys, Inter. J. Math. Math. Sci., 28 (2001), 313-320. [Paper]
Probabilistic Dynamics of Two-Layer Geophysical Flows, with I. Chueshov and B. Schmalfuss, Stochastics and Dynamics, Vol 1, No. 4, 2001. [Paper]
Escape Probability, Mean Residence Time and Geophysical Fluid Particle Dynamics, with J. Brannan and V. J. Ervin, Physica D 133 (1999), 23--33. [Paper]
Dissipative Quasigeostrophic Motion under Temporally Almost Periodic Forcing, with Peter Kloeden, J. Math. Anal. Appl. 236 (1999), 74-85.
Variational Methods and Nonlinear Quasigeostrophic Waves, with D. D. Holm and K. Li, Physics of Fluids 11(1999), 875-879. [Paper]
Lagrangian transport and chaos in the near wake of the flow around an obstacle: a numerical implementation of lobe dynamics, withS. Wiggins, Nonlinear Processes in Geophysics 4 (1997), 125-136. [Paper]
Fluid exchange across a meandering jet with quasiperiodic variability, with S. Wiggins, J. Physical Oceanography 26 (1996), 1176-1188. [Paper(PostScript)]
Nonlinear stability of one-layer geostrophic fronts, with S. Wiggins, Physica D, 98 (1996), 335-342. [Paper]
Non-autonomous dynamics of wave equations with nonlinear damping and critical nonlinearity, with Chunyou Sun and Daomin Cao, Nonlinearity 19 (2006), 2645-2665. [Paper]
Uniform attractors for non-autonomous wave equations with nonlinear damping, with Chunyou Sun, Daomin Cao, SIAM J. Applied Dynamical Systems, 6 (2007), 293-318. [Paper]
Non-autonomous wave dynamics with memory: Asymptotic regularity and uniform attractor, with C. Sun and D. Cao, Discrete and Continuous Dynamical Systems, in press, 2007.
Slow integral manifolds for Lagrangian fluid dynamics in unsteady geophysical flows, with C. Potzsche and S. Siegmund, Physica D, 233 (2007), 73-82. [Paper]
Global attractors and invariant measures for non-invertible planar piecewise isometric maps, with X. Fu, Phys. Lett. A, to appear, 2007.
Almost Periodic Motions and Global Attractors of the Nonautonomous Navier-Stokes Equations, with D. Cheban, J. Dynamics and Diff. Eqns., 16 (2004), 1--34. [Paper]
Recurrent Motions in the Nonautonomous Navier-Stokes System, with V. P. Bongolan-Walsh and D. Cheban, Discrete and Continuous Dyn. Sys. B, No.3, 2002, 255-262. [Paper]
Symbolic Representations of Iterated Maps, with X. Fu, W. Lu, and P. Ashwin, Topological Methods in Nonlinear Analysis, 18 (2001), 119-147. [Paper]
Infinite-dimensional linear dynamical systems with chaoticity, with X. Fu, J. Nonlinear Sci., 9 (1999), 197-211.
Chaotic Properties of Subshifts Generated by a Non-periodic Recurrent Orbit, with R. S. MacKay, X. Fu and Y. Fu, Inter. J. Bifurcation and Chaos, 10(2000), 1067-1073.
Asymptotic Dynamical Difference between the Nonlocal and Local Swift-Hohenberg Models, with G. Lin, H. Gao and V. Ervin, J. Math. Phys., 41(2000), 2077-2089. [Paper]
Dynamics of a nonlocal Kuramoto-Sivashinsky equation, with Vince Ervin, J. Diff. Eqns., 143(1998), 243-266. [Paper]
The effect of nonlocal interactions on the dynamics of the Ginzburg-Landau equation, with H. Ly and E. S. Titi, Z. Angew. Math. Phys. 47 (1996), 433-455. [Paper]
Fronts, domain walls and pulses for a generalized Ginzburg-Landau equation, with P. Holmes, Proc. Edinburgh Math. Soc. 38(1995), 77-97. [Paper]

Warren Edelstein, Ph.D.
Selected Publications

On Saint-Venant's Principle in Linear Viscoelasticity, Arch. Rat. Mech. Anal. (36) 1970, 366-380.
A Priori Bounds for the Displacement Problem in Viscoelasticity, SIAM J. Appl. Math. (23) 1972, 396-408.
On Bounds and Approximate Solutions for a Class of Transient Creep Problems, with P. G. Reichel, Int. J. Solids Structures (16) 1980, 107-118.
On Stress Redistribution in Structures During Creep, with J. Hult, Int. J. Solids Structures (19) 1983, 915-924.
A Finite Element Computation of the Flow-Induced Oscillations in a Cantilever Tube, with S. S. Chen and J. A. Jendrzejczyk, J. Sound and Vibration (107) 1986, 121-129.

Robert Ellis, Ph.D.
Complete Publications

Asymmetric binary covering codes, J. Combin. Theory Ser. A 100 (2002), 232--249 (with Joshua Cooper and Andrew Kahng). [Paper]
A chip-firing game and Dirichlet eigenvalues, Discrete Mathematics 257 (2002), 341--355 (with Fan Chung Graham). [Paper]
Ulam's pathological liar game with one half-lie, Int. J. Math. Math. Sci. 29 (2004), 1523--1532 (with Catherine Yan). [Paper]
The Renyi-Ulam pathological liar game with a fixed number of lies, J. Combin. Theory Ser. A 112 (2005), 328-336 (with Vadim Ponomarenko and Catherine Yan). [Paper]
Random geometric graph diameter in the unit disk with lpmetric (extended abstract), Lect. Notes Comput. Sc. 3383 (2005), 167--172 (with Jeremy Martin and Catherine Yan). © Springer-Verlag . [Paper]
Compression Algorithms for dummy fill layout data, Proc. SPIE, Vol. 5042, Design and Process Integration for Microelectronic Manufacturing, pp. 233--245, July 2003 (with Andrew B. Kahng and Yuhong Zheng).
Random geometric graph diameter in the unit ball, Algorithmica 47 (2007) 421-438 (with Jeremy Martin and Catherine Yan). [Paper]
On Random Points in the Unit Disk, Random Structures Algorithms, 29 (2006), 13-25 (with Xingde Jia and Catherine Yan). [Paper]
Density of normal binary covering codes, Discrete Math., special Simonovits issue, to appear. [Preprint]
How to Play the One-Lie Renyi-Ulam Game, to appear in Discrete Math. (with Vadim Ponomarenko and Catherine Yan). [Preprint]
Two-batch liar games over a general bounded channel, submitted (with Kathryn Nyman).
Variance of the subgraph count for Erdos-Renyi graphs, submitted (with James P. Ferry).
Discrete Green's functions for products of regular graphs. [Preprint]
Optimal packings within coverings for radius 1 adaptive block codes, in preparation.
An exact algorithm for binary radius 1 adaptive asymmetric covering codes, in preparation (with Justin Wilson).
Approximating the lp-metric by path distance in a random geometric graph, in preparation.
The spectra of super-line multigraphs, in preparation (with Daniela Ferrero).
On the lifetime of randomly deployed sensor networks, in preparation (with Gruia Calinescu).

Gregory Fasshauer, Ph.D.
Publications

On Choosing "Optimal" Shape Parameters for RBF Approximation (with Jack Zhang), in Numerical Algorithms. [Paper]
Analysis of Natural Frequencies of Composite Plates by an RBF-Pseudospectral Method (with A. J .M. Ferreira) Composite Structures 79 (2007), 202-210. [Paper]
Scattered Data Approximation of Noisy Data via Iterated Moving Least Squares (with Jack Zhang), to appear in Proceedings of Curve and Surface Fitting: Avignon 2006, T. Lyche, J. L. Merrien and L. L. Schumaker (eds.), Nashboro Press, Brentwood, TN, 2007, 150-159. [Paper]
Iterated Approximate Moving Least Squares Approximation (with Jack Zhang) in Advances in Meshfree Techniques, V. M. A. Leitao, C. Alves and C. A. Duarte (eds.), Springer, 2007, 221-240. [Paper]
Computation of natural frequencies of shear deformable beams and plates by an RBF-pseudospectral method (with A. J. M. Ferreira) Comput. Methods Appl. Mech. Engrg. 196 (2006), 134-146. [Paper]
RBF Collocation Methods and Pseudospectral Methods. [Preprint]
Recent Results for Moving Least Squares Approximation (with Jack Zhang) in Geometric Modeling and Computing: Seattle 2003, M. L. Lucian and M. Neamtu (eds.), Nashboro Press, Brentwood, TN, 2004, 163-176. [Paper]
A Parallel Time Stepping Approach Using Meshfree Approximations for Pricing Options with Non-smooth Payoffs (with Abdul Khaliq and Dave Voss) in Proceedings of Third World Congress of the Bachelier Finance Society, Chicago, July 2004. [Paper]
Dual Bases and Discrete Reproducing Kernels: A Unified Framework for RBF and MLS Approximation, in Journal of Engineering Analysis with Boundary Elements 29 (2005), 313-325. [Paper]
Meshfree Methods to appear in Handbook of Theoretical and Computational Nanotechnology, M. Rieth and W. Schommers (eds.), American Scientific Publishers, 2006, 33-97. [Paper]
Review of A Course in Approximation Theory by Ward Cheney and Will Light, appeared in Mathematical Monthly May 2004, 448-452. [Paper]
Using Meshfree Approximation for Multi-Asset American Option Problems (with Abdul Khaliq and Dave Voss), J. Chinese Institute Engineers (Vol.27 No.4) 2004, 563--571. [Paper]
Toward Approximate Moving Least Squares Approximation with Irregularly Spaced Centers, appeared in Computer Methods in Applied Mechanics & Engineering (193) 2004, 1231-1243. [Paper]
Approximate Moving Least-Squares Approximation: A Fast and Accurate Multivariate Approximation Method in Curve and Surface Fitting: Saint-Malo 2002, A. Cohen, J.-L. Merrien, and L. L. Schumaker (eds.), Nashboro Press, 2003, 139-148. [Paper]
A Volumetric Integral Radial Basis Function Method for Time-Dependent Partial Differential Equations: I. Formulation (with Ed Kansa, Henry Power and Leevan Ling), appeared in Journal of Engineering Analysis with Boundary Elements (Vol.28, No.10) 2004, 1191-1206. [Paper(Compressed PostScript - gzip)]
Approximate Moving Least-Squares Approximation for Time-Dependent PDEs, in WCCM V, Fifth World Congress on Computational Mechanics, H. A. Mang, F. G. Rammerstorfer, and J. Eberhardsteiner (eds.), Vienna University of Technology, 2002. [Paper]
Approximate Moving Least-Squares Approximation with Compactly Supported Weights, in Lecture Notes in Computer Science and Engineering Vol.26: Meshfree Methods for Partial Differential Equations, M. Griebel and M. A. Schweitzer (eds.), Springer Verlag, 2002, 105-116. [Paper(Compressed PostScript - gzip)]
Matrix-free Multilevel Moving Least-Squares Methods in Approximation Theory X: Wavelets, Splines, and Applications, C. K. Chui, L. L. Schumaker, and J. Stöckler (eds.), Vanderbilt University Press, 2002, 271-281. [Paper(Compressed PostScript - gzip)]
Newton Iteration with Multiquadrics for the Solution of Nonlinear PDEs, appeared in Comput. Math. Applic. (43) 2002, 423-438. [Paper(Compressed PostScript - gzip)]
Nonsymmetric Multilevel RBF Collocation within an Operator Newton Framework for Nonlinear PDEs, appeared in Trends in Approximation Theory, K. Kopotun, T. Lyche, and M. Neamtu (eds.), Vanderbilt University Press, 2001, 103-112. [Paper(Compressed PostScript - gzip)]
Newton Iteration for Partial Differential Equations and the Approximation of the Identity (with Chuck Gartland and Joe Jerome) appeared in Numerical Algorithms (25) 2000, 181-195. [Paper(Compressed PostScript - gzip)]
Algorithms Defined by Nash Iteration: Some Implementations via Multilevel Collocation and Smoothing (with Chuck Gartland and Joe Jerome) appeared in J. Comp. Appl. Math. (119) 2000, 161-183. [Paper(Compressed PostScript - gzip)]
On the Numerical Solution of Differential Equations with Radial Basis Functions appeared in Boundary Element Technology XIII, C. S. Chen, C. A. Brebbia, and D. W. Pepper (eds.), WIT Press, 1999, 291-300. [Paper(Compressed PostScript - gzip)]
Solving Differential Equations with Radial Basis Functions: Multilevel Methods and Smoothing appeared in Adv. in Comp. Math. (11) 1999, 139-159. [Paper(Compressed PostScript - gzip)]
On Smoothing for Multilevel Approximation with Radial Basis Functions appeared in Approximation Theory XI, Vol.II: Computational Aspects, Charles K. Chui, and L. L. Schumaker (eds.), Vanderbilt University Press, 1999, 55-62. [Paper(Compressed PostScript - gzip)]
Scattered Data Fitting on the Sphere (with Larry Schumaker) appeared in Mathematical Methods for Curves and Surfaces II, M. Daehlen, T. Lyche, and L. L. Schumaker (eds.), Vanderbilt University Press, 1998, 117-166. [Paper(Compressed PostScript - gzip)]
Multistep Approximation Algorithms: Improved Convergence Rates through Postconditioning with Smoothing Kernels (with Joe Jerome) appeared in Adv. in Comp. Math. (10) 1999, 1-27. [Paper(Compressed PostScript)]
Solving Partial Differential Equations by Collocation with Radial Basis Functions appeared in Surface Fitting and Multiresolution Methods, A. Le Mehaute, C. Rabut, and L. L. Schumaker (eds.), Vanderbilt University Press, 1997, 131-138. [Paper(Compressed PostScript)]
Minimal Energy Surfaces using Parametric Splines (with Larry Schumaker) appeared in Computer-Aided Geometric Design (13) 1996, 45-79. Without figures. [Paper(DVI)]
Adaptive Least Squares Fitting with Radial Basis Functions on the Sphere appeared in Mathematical Methods for Curves and Surfaces M. Daehlen, T. Lyche, and L. L. Schumaker (eds.), Vanderbilt University Press, 1995, 141-150. [Paper(COmpressed PostScript - gzip)]
Hermite Interpolation with Radial Basis Functions on Spheres appeared in Adv. in Comp. Math. (10) 1999, 81-96. [Paper(Compressed Postscript - gzip)]
References for Radial Basis Functions (last updated 12/19/2003). [Preprint]

Maurice J. Frank, Ph.D.
Publications

No Publications Found

Fred J. Hickernell, Ph.D.
Complete Publications

On the steady state of an age dependent model for malaria, with R. H. Elderkin, D. P. Berkowitz, F. A. Farris, C. F. Gunn, S. N. Kass, F. I. Mansfield, and R. G. Taranto, Nonlinear Systems and Applications: An International Conference (V. Lakshmikantham, ed.), Academic Press, New York, 1977, pp. 491-512. [Abstract Only]
The effect of the structure and composition of zinc oxide films on their elastic properties, Proc. 1977 IEEE Ultrason. Symp., 1977, pp. 309-312.
The conformational analysis of 1-haloalkanes by low resolution microwave spectroscopy, with W. E. Steinmetz, I. K. Mun, and L. H. Scharpen, J. Molec. Spectro. 68(1977), 173-182.
Conformational analysis of substituted alkenes by low resolution microwave spectroscopy, with W. E. Steinmetz, J. Hollenberg, C. E. Orr, and L. H. Scharpen, J. Phys. Chem. 82 (1978), 940-943.
Conformational analysis of conjugated polyenes by nuclear magnetic resonance and low resolution microwave spectroscopy, W. E. Steinmetz, J. E. Pollard, J. M. Blaney, B. K. Winker, I. K. Mun, and S. J. Hollenberg, J. Phys. Chem. 83 (1979), 1540-1545.
The evolution of large-horizontal-scale disturbances in marginally stable, inviscid, shear flows. I. Derivation of the amplitude evolution equations, Stud. Appl. Math69 (1983), 1-21. [Abstract Only]
The evolution of large-horizontal-scale disturbances in marginally stable, inviscid, shear flows. II. Solutions of the Boussinesq equation, Stud. Appl. Math 69 (1983), 23-49. [Abstract Only]
Teaching calculus with computers at USC, with W. Proskurowski, SIAM News 18 (1984), no. 5, 16.
Time-dependent critical layers in shear flows on the beta-plane, J. Fluid Mech. 142 (1984), 431-449. [Abstract Only]
The use of microcomputers in the teaching of calculus, with W. Proskurowski, Collegiate Microcomputer 3 (1985), 111-125.
An upper bound on the growth rate of a linear instability in a homogeneous shear flow, Stud. Appl. Math 72 (1985), 87-93. [Abstract Only]
Linear stability of miscible displacement processes in porous media in the absence of dispersion, with Y. C. Yortsos, Stud. Appl. Math 74 (1986), 93-115. [Abstract Only]
Design of a calculus microcomputer laboratory, with W. Proskurowski, Comput. Math. Appl. 14 (1987), 3-24.
Simulation studies of the automatic control of a blast furnace process, with M. K. Chan, M. J. Li, S. J. Hu, S. K. Ng, H. M. Ngai, C. C. Barnett, and W. M. Holmes, Proc. 1988 Summer Computer Simulation Conference (Seattle, WA), 1988, pp. 881-885.
Comp-u-calc (software and user's manual/workbook), with W. Proskurowski, Saunders College Publishing, Philadelphia, 1988.
Linear stability of immiscible displacement processes in porous media, with Y. C. Yortsos, SIAM J. Appl. Math. 49 (1989), 730-748. [Abstract Only]
Multivariate analysis and its applications, edited by T. W. Anderson, K. T. Fang, and I. Olkin, Lecture Notes -- Monograph Series, vol. 24, Institute of Mathematical Statistics, Hayward, California, 1994, F. J. Hickernell, (managing ed.). [Abstract Only]
A class of asymptotically optimal sequential tests for composite hypotheses, with J. D. Chen, Sci. China Ser. A 37 (1994), 1314-1324. [Abstract Only]
Universally consistent estimation for stochastic regression models, with H. Z. An and L. X. Zhu, Chinese Sci. Bull. 40 (1995), 802-807. [Abstract Only]
The uniform design and its applications, with K. T. Fang, Bull. Inst. Internat. Statist., 50th Session, Book 1 (1995), 333-349.
A comparison of random and quasirandom points for multidimensional quadrature, Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (H. Niederreiter and P. J.-S. Shiue, eds.), Lecture Notes in Statistics, vol. 106, Springer-Verlag, New York, 1995, pp. 213-227. [Abstract Only]
Comment on experimental design and observation for large systems, with K. T. Fang, by R. A. Bates et. al., J. Roy. Statist. Soc. B 58 (1996), 103.
Some global optimization algorithms in statistics, with K. T. Fang and P. Winker, Operations Research and Its Applications (D. Z. Du, Z. S. Zhang, and K. Cheng, eds.), Lecture Notes in Operations Research, vol. 2, World Publishing Corp., Beijing, 1996, pp. 14-24.
The mean square discrepancy of randomized nets, ACM Trans. Model. Comput. Simul. 6 (1996), 274-296.
Quadrature error bounds with applications to lattice rules, SIAM J. Numer. Anal. 33 (1996), 1995-2016, corrected printing of Sections 3-6 in ibid., 34 (1997), 853-866. [Abstract Only]
Regression transformation diagnostics for explanatory variables, with B. C. Wei, Statist. Sinica 6 (1996), 433-454. [Abstract Only]
A new class of consistent estimators for stochastic linear regressive models, with H. Z. An and L. X. Zhu, J. Multivariate Anal. 63 (1997), 242-258. [Abstract Only]
Computing multivariate normal probabilities using rank-1 lattice sequences, with H. S. Hong, Proceedings of the Workshop on Scientific Computing (Hong Kong) (G. H. Golub, S. H. Lui, F. T. Luk, and R. J. Plemmons, eds.), Springer-Verlag, Singapore, 1997, pp. 209-215. [Abstract Only]
A simple multi-start algorithm for global optimization, with Y. X. Yuan, Oper. Res. Trans. 1 (1997), 1-11.
Statistical modeling for the optimal deposition of sputtered piezoelectric films, with R. X. Yue, and F. S. Hickernell, IEEE Trans. Ultrason., Ferroelectrics & Frequency Control 44 (1997), 615-623, prelim. ver. in Proc. 1996 IEEE Ultrason. Symp., 1996, pp. 141-147.
A goodness-of-fit test for linearity of a stochastic regression model, with L. X. Zhu and H. Z. An, Chinese J. Contemp. Math. 18 (1997), 199-206. [Abstract Only]
A generalized discrepancy and quadrature error bound, Math. Comp. 67 (1998), 299-322. [Abstract Only]
Lattice rules: How well do they measure up?, Random and Quasi-Random Point Sets (P. Hellekalek and G. Larcher, eds.), Lecture Notes in Statistics, vol. 138, Springer-Verlag, New York, 1998, pp. 109-166. [Abstract Only]
Radial basis function approximation of the surface wind field from scattered data, with Y. C. Hon, Internat. J. Appl. Sci. Comput. 4 (1998), 221-247. [Abstract Only]
Goodness-of-fit statistics, discrepancies and robust designs, Statist. Probab. Lett. 44 (1999), 73-78. [Abstract Only]
Radial basis function approximation as smoothing splines, Appl. Math. Comput. 102 (1999), 1-24. [Abstract Only]
The asymptotic efficiency of randomized nets for quadrature, with H. S. Hong, Math. Comp. 68 (1999), 767-791. [Abstract Only]
Robust designs for fitting linear models with misspecification, with R. X. Yue, Statist. Sinica 9 (1999), 1053-1069. [Abstract Only]
What affects the accuracy of quasi-Monte Carlo quadrature?, Monte Carlo and Quasi-Monte Carlo Methods 1998 (H. Niederreiter and J. Spanier, eds.), Springer-Verlag, Berlin, 2000, pp. 16-55. [Abstract Only]
Extensible lattice sequences for quasi-Monte Carlo quadrature, with H. S. Hong, P. L'Écuyer, and C. Lemieux, SIAM J. Sci. Comput. 22 (2000), 1117-1138. [Abstract Only]
Discrepancy measures of uniformity, with M. Q. Liu, and Y. C. Yam, J. Chinese Statistical Association 38 (2000), 353-373 (Chinese).
Integration and approximation in arbitrary dimensions, with H. Wozniakowski, Adv. Comput. Math. 12 (2000), 25-58. [Abstract Only]
The mean square discrepancy of scrambled (t,s)-sequences, with R. X. Yue, SIAM J. Numer. Anal. 38 (2000), 1089-1112. [Abstract Only]
Randomized Halton sequences, with X. Wang, Math. Comput. Modelling 32 (2000), 887-899. [Abstract Only]
Special issue on the complexity of multivariate problems, edited with H. Wozniakowski, J. Complexity, vol. 17, no. 4, Academic Press, Orlando, FL, December 2001. [Abstract Only]
Integration of multivariate Haar wavelet series, with S. Heinrich and R. X. Yue, Wavelet Analysis and Its Applications (Y. Y. Tang, V. Wickerhauser, P. C. Yuen, and C. H. Li, eds.), Lecture Notes in Computer Science, no. 2251, Springer-Verlag, New York, 2001, pp. 99-106.
The price of pessimism for multidimensional quadrature, with H. Wozniakowski, J. Complexity 17 (2001), 625-659. [Abstract Only]
Tractability of multivariate integration for periodic functions, J. Complexity 17 (2001), 660-682. [Abstract Only]
Testing multivariate uniformity and its applications, with J. J. Liang, K. T. Fang, and R. Li, Math. Comp. 70 (2001), 337-355, MR 2001f:62032, ZM 991.72287. [Abstract Only]
Integration and approximation based on scramble sampling in arbitrary dimensions, with R. X. Yue, J. Complexity 17 (2001), 881-897. [Abstract Only]
Monte Carlo and quasi-Monte Carlo methods 2000, edited with K. T. Fang and H. Niederreiter, Springer-Verlag, Berlin, 2002. [Abstract Only]
Obtaining O(N-2+ epsilon ) convergence for lattice quadrature rules, In Fang et al. [51], pp. 274-289. [Abstract Only]
Quasi-Monte Carlo methods and their randomizations, with H. S. Hong, Applied Probability (R. Chan, Y.-K. Kwok, D. Yao, and Q. Zhang, eds.), AMS/IP Studies in Advanced Mathematics, vol. 26, American Mathematical Society, Providence, Rhode Island, 2002, pp. 59-77. [Abstract Only]
Uniform designs limit aliasing, with M. Q. Liu, Biometrika 89 (2002), 893-904. [Abstract Only]
The error bounds and tractability of quasi-Monte Carlo algorithms in infinite dimension, with X. Wang, Math. Comp. 71 (2002), 1641-1661. [Abstract Only]
E(s2)-optimality and minimum discrepancy in 2-level supersaturated designs, with M. Q. Liu, Statist. Sinica 12 (2002), 931-939. [Abstract Only]
The relationship between discrepancies defined on a domain and on its subset, 2002, submitted for publication.
An historical overview of lattice point sets, with Y. Wang, In Fang et al. [51], pp. 158-167. [Abstract Only]
The discrepancy and gain coefficients of scrambled digital nets, with R. X. Yue, J. Complexity 18 (2002), 135-151. [Abstract Only]
Robust designs for smoothing spline ANOVA models, Metrika 55 (2002), 161-176. [Abstract Only]
Tractability of multivariate integration for periodic continuous functions, with G. Fang, 2003, in preparation.
Approximation on anisotropic multivariate Besov classes of functions by standard information, with G. Fang and H. Li, 2003, submitted for publication.
Uniform experimental designs, with K. T. Fang, 2003, in preparation.
An algorithm-driven approach to error analysis for multidimensional integration, 2003, submitted for publication.
My dream quadrature rule, J. Complexity 19 (2003), 420-427. [Abstract Only]
The existence of good extensible rank-1 lattices, with H. Niederreiter, J. Complexity 19 (2003), 286-300. [Abstract Only]
A piece-wise constant algorithm for weighted L1 approximation over bounded or unbounded regions, with I. H. Sloan and G. W. Wasilkowski, 2003, submitted for publication.
Implementing scrambled digital nets, with H. S. Hong, ACM Trans. Math. Softw. 29 (2003), 95-109.
t parameter optimization for imbedded digital (t,m,s)-nets by using the evolutionary computation, Fourth International Conference on Monte Carlo and Quasi-Monte Carlo Methods, November 27 -- December 1, 2000, Hong Kong, 2003, in preparation to be submitted for publication.
The distribution of the discrepancy of scrambled digital (t,m,s)-nets, with H. S. Hong and G. Wei, Math. Comput. Simulation 62 (2003), 335-345. [Abstract Only]
Improved quadrature error bounds using function values, with F. L. Huang, Fourth International Conference on Monte Carlo and Quasi-Monte Carlo Methods, November 27 -- December 1, 2000, Hong Kong, 2003, in preparation to be submitted for publication.
The relationship between the nth minimal errors of two classes of information for approximation in weighted Hilbert spaces, 2003, submitted for publication.
Chebyshev spectral collocation methods on lattices, with D. Li, 2003, in preparation.
Trigonometric spectral collocation methods on lattices, Recent Advances in Scientific Computing and Partial Differential Equations (S. Y. Cheng, C.-W. Shu, and T. Tang, eds.), AMS Series in Contemporary Mathematics, vol. 330, American Mathematical Society, Providence, Rhode Island, 2003, pp. 121-132.
Improving quasi-Monte Carlo integration via variance reduction techniques, with X. Wang and K. T. Fang, 2003, submitted for publication.
Low discrepancy sampling for finding traces and determinants of sparse matrices, with M. N. Wong, Fourth International Conference on Monte Carlo and Quasi-Monte Carlo Methods, November 27 -- December 1, 2000, Hong Kong, 2003, in preparation to be submitted for publication.
Quasi-Monte Carlo resampling for bootstrap calculations, with C. Y. Yam, Workshop on the Complexity of Multivariate Problems, October 4-8, 1999, Hong Kong, 2003, in preparation to be submitted for publication.
Strong tractablity of integration using scrambled Niederreiter points, with R. X. Yue, 2003, submitted for publication.
Optimal quadrature for Haar wavelet spaces, with S. Heinrich and R. X. Yue, Math. Comp. 73 (2004), 259-277.
Koksma-Hlawka inequality, Encyclopedia of Statistical Sciences (S. Kotz, N. L. Johnson, C. B. Read, N. Balakrishnan, and B. Vidakovic, eds.), John Wiley & Sons, Hoboken, NJ, second ed., 2004, to appear.
Control variates for quasi-Monte Carlo, with C. Lemieux, and A. B. Owen, Statist. Sci. (2004), to appear.
On strong tractability of weighted multivariate integration, with I. H. Sloan, and G. W. Wasilkowski, Math. Comp. (2004), to appear.
On tractability of weighted integration for certain Banach spaces of functions, Monte Carlo and Quasi-Monte Carlo Methods 2002 (H. Niederreiter, ed.), Springer-Verlag, Berlin, 2004, pp. 51-71.
On tractability of weighted integration over bounded and unbounded regions in Rs, Math. Comp. (2004), to appear. The strong tractability of multivariate integration using lattice rules, Monte Carlo and Quasi-Monte Carlo Methods 2002 (H. Niederreiter, ed.), Springer-Verlag, Berlin, 2004, pp. 259-273.

Hemanshu Kaul, Ph.D.
Complete Publications

Global Optima Results for the Kauffman NK Model, (with S.H. Jacobson), Mathematical Programming, Volume 106, 2006, 319-338. [Talk]
New Global Optima Results for the Kauffman NK Model: Handling Dependency, (with S.H. Jacobson), Mathematical Programming, Special issue on 'Optimization under Uncertainty', Volume 108, 2006, 475-494. [Talk]
Extremal Graphs for a Graph Packing Theorem of Sauer and Spencer, (with A. Kostochka), Combinatorics, Probability and Computing, Volume 16, 2007, 409-417. [Talk]
Analyzing the Performance of Simultaneous Generalized Hill Climbing Algorithms, (with D.E. Vaughan and S.H. Jacobson), Computational Optimization and Applications, Volume 37, 2007, 103-119.
On a Graph Packing Conjecture of Bollobas, Eldridge, and Catlin, (with A. Kostochka and G.Yu), Combinatorica, accepted for publication. [Talk]
Distinguishing Chromatic Number of Cartesian Products of Graphs, (with J. Choi and S. Hartke), SIAM Journal on Discrete Mathematics, accepted for publication. [Talk]
Long Local Searches for Maximal Bipartite Subgraphs, (with D.B. West), SIAM Journal on Discrete Mathematics, accepted for publication. [Talk]
Reductions for the Stable Set Problem, (with E.C. Sewell and S.H. Jacobson), submitted for publication.
A Threshold for Random Geometric Graphs with a Hamiltonian cycle, (with J. Balogh), manuscript under revision.
Network Simplex Algorithm for the Equal Flow Problem on Generalized Networks, (with S.H. Jacobson), in preparation.
Homeland Security Resource Allocation Model, (with E.J. Durango-Cohen and C.M. Jones), in preparation.
Exact Algorithms for the Maximum Independent Set Problem, (with E.C. Sewell and S.H. Jacobson), in preparation.
Concentration of Measure Inequalities in Discrete Mathematics - A Survey with Elementary Proofs, (with D.B. West), in preparation .
Multi-Objective Optimization and Sensitivity Analysis For Discrete and Continuous Optimization Problems, (with S.H. Jacobson, G.K. Kao, J.A. Stori and V. Venkat), Technical Report to Austral Engineering and Software, Inc., 2004.
On the Queuenumber of Planar Graphs , M.Sc. Thesis (under the guidance of S. Pemmaraju), Dept. of Mathematics, Indian Institute of Technology, Bombay, 1999.
An Elementary Construction of Real Numbers from Rational Numbers, The Mathematica : Annual Journal of the Mathematics Society, St. Stephen's College, 1997.

Xiaofan Li, Ph.D.
Complete Publications

Film flow of a suspension down an inclined plane, with C. Pozrikidis (2003), Phil. Trans. R. Soc. Lond. A 361, 847-869. [Paper]
Singularity formation in Free-surface Stokes flows, with Q. Nie, S. Tanveer, T.~F. Dupont (2002), Contemporary Mathematics 306, 147-165. [Paper]
Film flow of a suspension of liquid drops, with C. Pozrikidis (2002), Physics of Fluids 14(1), 61-74. [Paper]
Wall-bounded and channel flow of suspensions of liquid drops, with C. Pozrikidis (2000), Int. J. of Multiphase Flow 26, 1247-1279.
Effect of surfactants on drop deformation and on the rheology of dilute emulsions in Stokes flow, with C. Pozrikidis (1997), J. Fluid Mech. 341, 165--194. [Paper(PostScript)]
Simple shear flow of suspensions of liquid drops, with R. Charles and C. Pozrikidis (1996), J. Fluid Mech. 320, 395--416. [Paper(PostScript)]
Shear flow over a liquid drop adhering to a solid surface, with C. Pozrikidis (1996), J. Fluid Mech. 307, 167--190. [Paper(PostScript)]
A numerical study of the shearing motion of emulsions and foams emulsions, with H. Zhou and C. Pozrikidis (1995), J. Fluid Mech. 286, 379--404. [Paper(PostScript)]
The collapse of an axi-symmetric, swirling vortex sheet, with R. Caflisch and M. Shelley (1993), Nonlinearity 6, 843--867. [Paper(PostScript)]
Lagrangian theory for 3D vortex sheets with axial or helical symmetry, with R. Caflisch (1992), J. Trans. Theory and Stat. Phys. 21, 559--578. [Paper(PostScript)]
Surface diffusion on stressed solid surface, with Q. Nie, (2007), Commun. Comput. Phys. 2(1), 73--86. [Paper]
An efficient method for computing microstructural evolution of elastically homogeneous media, (2005), Comput. Mater. Sci. 34, 70--81. [Paper]
Microstructural evolution in three-dimensional inhomogeneous elastic media, with J. S. Lowengrub, Q. Nie, V. Cristini and P. H. Leo (2003), Metal. Trans. 34A, 1421--1431. [Paper]
Optimized shapes of oscillating resonators for generating high-amplitude pressure waves, with J. Finkbeiner, G. Raman, C. Daniels and B. Steinetz (2004), J. Acoust. Soc. Am. 116, 2814--2821. [Paper]
Nonlinear resonant oscillations of gas in optimized acoustical resonators, with J. Finkbeiner, G. Raman, Christopher Daniels and Bruce Steinetz (2003), 41st AIAA Aerospace Sciences Meeting and Exhibit Jan. 6-9, 2003, Reno, Neveda. [Paper]

Arthur Lubin, Ph.D.
Selected Publications

On bounded solutions of non-linear differential equations, with J. A. Goldstein, SIAM J. Math. Anal. (5) 1975, 837-841.
On a class of contractive perturbations of restricted shifts, with J. A. Ball, Pacific J. Math. (63) 1976, 309-323.
Commuting weighted shifts and analytic function theory in several variables, with N. Jewell, J. Operator Theory (1) 1979, 207-223.
A note on single input controllability for normal systems, Math. Sys. Theory (15) 1982, 371-373.
Dilation and commutant lifting for jointly isometric operators - a geometric approach, with K. R. M. Attele, J. Funct. Anal. (140) 1996, 300-311.

David Maslanka, Ph.D.
Publications

No Publications Found

F.R. McMorris, Ph.D.
Selected Publications

Topics in Intersection Graph Theory, with T.A. McKee, SIAM Monographs on Discrete Mathematics and Applications, Philadelphia, PA, 1999.
Consensus functions on tree quasi-orders that satisfy an independence condition, with R.C. Powers, Math. Social Sci. (48), 2004, 183-192.
The median function on distributive semilattices, with H.M. Mulder and R.C. Powers, Discrete Appl. Math. (127), 2003, 319-324.
Axiomatic Consensus Theory in Group Choice and Biomathematics, with W.H.E. Day, SIAM Frontiers of Applied Mathematics, vol.29, Philadelphia PA, 2003.
The compatibility of comparative and stratigraphic constraints on estimates of the ancestor-descendant relation, with G.F. Estabrook, Systematics & Biodiversity 4(2006), 9-17.

Michael Pelsmajer, Ph.D.
Complete Publications

A list analogue of equitable coloring, with A. V. Kostochka and D. B. West, J. Graph Theory 44(3), 2003, 166--177. [Paper]
Maximum induced linear forests in outerplanar graphs, Graphs Combin. 20(1), 2004, 121--129. [Paper]
Equitable list-coloring for graphs of maximum degree 3, J. Graph Theory 47(1), 2004, 1--8. [Paper]
The toughness of a toroidal graph with connectivity 3 and girth 6 is exactly 1, with W. Cao, Graphs Combin. 20(2), 2004, 181--183. [Paper]
Parameterized Algorithms for Feedback Vertex Set, with I. Kanj and M. Schaefer, in IWPEC 2004, Lecture Notes in Comput. Sci. 3162, Springer, Berlin, 2004, 235--247. [Paper]
Graph minors and reliable single message transmission, with F. E. Fich, A. Kündgen, and R. Ramamurthi, SIAM J. Discrete Math. 19(4), 2005, 815--847. [Paper]
Integer Programming Solutions for Several Optimization Problems in Graph Theory, with J. Luttamaguzi, Z. Shen, and B. Yang, Computers and Their Applications (CATA 2005), 2005, 50--55. [Paper(Compressed PostScript - gzip)]
Transversal numbers of translates of a convex body, with S.-J. Kim, K. Nakprasit, and J. Skokan, Discrete Math. 306(18), 2006, 2166--2173. [Paper]
Equitable list coloring for graphs of bounded tree-width, submitted to a journal, July 2006.
Odd Crossing Number and crossing number are not the same, Discrete Comput. Geom., to appear (published online: 20 March 2006). [Paper(PostScript)]
Odd crossing number is not crossing number, with M. Schaefer and D. Stefankovic, in Graph drawing, Lecture Notes in Comput. Sci. 3843, Springer, Berlin, 2006, 386--396. [Paper(PostScript)]
Removing even crossings, J. Combin. Theory Ser. B 97(4), 2007, 489--500. [Paper]
Removing even crossings, with M. Schaefer and D. Stefankovic, in 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), Stefan Felsner (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AE, 105--110. [Paper]
Train tracks and confluent drawings, with P. Hui, M. Schaefer, and D. Stefankovic, Algorithmica 47(4), 2007, 465--479. [Paper(PostScript)]
k-robust single-message transmission, in Combinatorial and algorithmic aspects of networking (CAAN 2004), Lecture Notes in Comput. Sci. 3405, Springer, Berlin, 2005, 90--101. [Paper]
k-robust single-message transmission, with A. Kündgen and R. Ramamurthi, submitted to a journal, April 2007. [Preprint]
Removing even crossings on surfaces, with M. Schaefer and D. Stefankovic, to appear in 2007 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '07), Electronic Notes in Discrete Mathematics. [Paper]
Crossing Number of Graphs with Rotation Systems, with M. Schaefer and D. Stefankovic, to appear in Graph Drawing 2007, Lecture Notes in Computer Science. [Paper]
Crossing Numbers and Parameterized Complexity, with M. Schaefer and D. Stefankovic, to appear in Graph Drawing 2007, Lecture Notes in Computer Science. [Paper]
Axiomization of the Center Function on Trees, with H. M. Mulder and K. B. Reid, to appear in Australas. J. Combin. [Paper]
Fast edge colorings with fixed number of colors to minimize imbalance, in Foundations of Software Technology and Theoretical Computer Science 2006 (FSTTCS 2006), Lecture Notes in Comput. Sci. 4337, Springer, Berlin, 2006, 117-128. [Paper(PostScript)]
Minimizing Tunable Ports in Optical Networks, with G. Calinescu, to appear in Combinatorial and algorithmic aspects of networking (CAAN 2005), Internet Mathematics. [Paper(PostScript)]
Nonrepetitive colorings of graphs of bounded tree-width, with A. Kündgen, to appear in a special issue of a Discrete Math. for the 60th birthday conference of M. Simonovits. [Paper]
On the induced matching problem, with I. Kanj and M. Schaefer, submitted to a conference with proceedings, September 2007.
Generalized centrality in trees, with H. M. Mulder and K. B. Reid, submitted to a journal, October 2007. Preprint]
Delta-k and Ok confluent graphs, with M. Schaefer and K. Stern, in progress. [Preprint]
New proofs for strongly chordal graphs and chordal bipartite graphs, with J. Tokaz and D. B. West, in progress. [Preprint]
Maximum induced forests in graphs of bounded treewidth, with G. G. Chappell. In progress.
Upper chromatic number for random hypergraphs, with J. Skokan. In progress.
Dominating sets in plane triangulations, with E. L. C. King. In progress.

Susan Sitton, Ph.D.
Publications

No Publications Found

Charles Tier, Ph.D.
Complete Publications

Asymptotic analysis of diffusion equations in population genetics (with J. B. Keller), SIAM J. Appl. Math. 34 (1978), 549–576.
A tri-allelic diffusion model with selection” (with J. B. Keller), SIAM J. Appl. Math. 35 (1978), 521–535.
A tri-allelic diffusion model with selection, migration, and mutation, Math. Biosci. 44 (1979), 41–60.
An asymptotic solution of the first passage problem for singular diffusion in population biology (with F. B. Hanson), SIAM J. Appl. Math. 40 (1981), 113–132.
Persistence in density dependent stochastic populations (with F. B. Hanson), Math. Biosci. 53 (1981), 89–117.
An analysis of neutral-alleles and variable-environment diffusion models, J. Math. Biol. 12 (l981), 53–71.
A stochastic model for tumor growth (with F. B. Hanson), Math. Biosci. 61 (1982),73–100.
Diffusion across characteristic boundaries with critical points” (with B. J. Matkowsky and Z. Schuss), SIAM J. Appl. Math. 43 (1983), 673–695.
Harvesting under demographic uncertainty (with F. B. Hanson), in Proc. of the Int. Conf. on Population Biology-Univ. of Alberta, Lecture Notes in Biomath., vol. 52, Springer-Verlag, New York, 1983.
Uniform expansion of the transition rate in Kramers’ problem (with B. J. Matkowsky and Z. Schuss), J. Stat. Phys. 35 (1984), 443–456.
Solution of Kramers-Moyal equations for problems in chemical physics (with M. Mangel, B. J. Matkowsky, Z. Schuss and C. Knessl), J. Chem. Phys. 81 (1984), 1285–1293.
Asymptotic solution of the Kramers-Moyal equation and first passage times forMarkov jump processes (with M. Mangel, B. J. Matkowsky, Z. Schuss and C. Knessl), Phys. Rev. A29 (1984), 3359–3369.
First passage times for processes governed by master equations (with B. J.Matkowsky, C. Knessl, Z. Schuss and M. Mangel), in Proc. of the Conf. on Fluctuations and Sensitivity in Non-Equilibrium Systems, Univ. of Texas, W. Horsthemke and D. K. Kondepudi,eds., Springer-Verlag, New York, 1984, 19–36..
An asymptotic theory of large deviations for Markov jump processes (with B. J. Matkowsky, Z. Schuss and C. Knessl), SIAM J. Appl. Math. 46 (1985), 1006–1028.
Frequency fluctuations in noisy oscillators (with B. J. Matkowsky and Z. Schuss), SIAM J. Appl. Math. 45 (1985), 843–854.
An analysis of a dendritic neuron model with an active membrane site (with S. Baer), J. Math. Biol. 23 (1986), 137–161.
A singular perturbation approach to first passage times for Markov jump processes (with C. Knessl, B. J. Matkowsky and Z. Schuss), J. Stat. Phys. 42 (1986), 169–184.
A finite capacity single-server queue with customer loss (with C. Knessl, B. J. Matkowsky and Z. Schuss), Comm. Statist. Stochastic Models 2 (1986), 97–121.
Asymptotic analysis of a state-dependent M/G/1 queueing system (with C. Knessl, B. J. Matkowsky and Z. Schuss), SIAM J. Appl. Math. 46 (1986), 483–505.
System crash in a finite capacity M/G/1 queue (with C. Knessl, B. J. Matkowsky and Z. Schuss), Comm. Statist. Stochastic Models 2 (1986), 171–201.
On the performance of state-dependent single-server queues (with C. Knessl, B. J. Matkowsky and Z. Schuss), SIAM J. Appl. Math. 46 (1986), 657–697.
Boundary behavior of diffusion approximations to Markov jump processes (with C. Knessl, B. J. Matkowsky and Z. Schuss), J. Stat. Phys. 45 (1986), 245–266.
Two parallel queues with dynamic routing (with C. Knessl, B. J. Matkowsky and Z. Schuss), IEEE Trans. Comm. 34 (1986), 1170–1175.
The two repairmen problem: A finite source M/G/2 queue (with C. Knessl, B. J. Matkowsky and Z. Schuss), SIAM J. Appl. Math. 47 (1987), 367–397.
Asymptotic expansions for a closed multiple access system (with C. Knessl, B. J. Matkowsky and Z. Schuss), SIAM J. Comp. 16 (1987), 378–398.
A Markov-modulated M/G/1 queue I: Stationary distribution (with C. Knessl, B.J. Matkowsky and Z. Schuss), Queueing Systems: Theory and Applications 1 (1987), 355–374.
A Markov-modulated M/G/1 queue II: Busy period and time for buffer overflow (with C. Knessl, B. J. Matkowsky and Z. Schuss), Queueing Systems: Theory and Applications 1 (1987), 375–397.
A mathematical model of the fall of zinc protoporphyrin (with S. M. Hessl and D. Hryhorczuk), in Occupational and Environmental Chemical Hazards, V. Foa, E. A. Emmett, M. Maroni and A. Colombi, eds., John Wiley and Sons, New York, 1987, 115–120.
Distribution of the maximum buffer content during a busy period for state-dependent M/G/1 queues (with C. Knessl, B. J. Matkowsky and Z. Schuss), Comm. Statist. Stochastic Models 3 (1987), 191–226.
Two parallel M/G/1 queues where arrivals join the system with the smaller buffer content (with C. Knessl, B. J. Matkowsky and Z. Schuss), IEEE Trans. Commun. COM-35 (1987), 1153–1158.
Busy period distribution in state-dependent queues (with C. Knessl, B. J. Matkowsky and Z. Schuss), Queueing Systems: Theory and Applications 2 (1987), 285–305.
A state-dependent M/M/1 queue: A production-inventory model (with C. Knessl, B. J. Matkowsky and Z. Schuss), Appl. Math. Lett. 1 (1988), 235–239.
Response times in processor-shared queues with state-dependent arrival rates (with C. Knessl, B. J. Matkowsky and Z. Schuss), Comm. Statist. Stochastic Models 5 (1989), 83–113.
Asymptotic expansions for large closed queueing networks (with C. Knessl), J. A.C.M. 37 (1990), 144–174.
An integral equation approach to the M/G/2 queue” (with C. Knessl, B. J. Matkowsky and Z. Schuss), Operations Research 38 (1990), 506–518.
Approximations to the moments of the sojourn time in a tandem queue with overtaking (with C. Knessl), Comm. Statist. Stochastic Models 6 (1990), 499–524.
Asymptotic analysis of multiple class queueing networks (with J. D. Mei), Appl. Math. Lett. 4 (1991), 35–38.
Asymptotic methods for Markov jump process (with B. J. Matkowsky and Z. Schuss), A.M.S. Lectures in Applied Mathematics 27 (1991), 215–240.
Asymptotic analysis of an integrated digital network (with M. Mankus), SIAM J. Appl. Math. 52 (1992), 234–269.
A processor-shared queue which models switching times: normal usage (with C.Knessl), SIAM J. Appl. Math. 52 (1992), 883–899.
Asymptotic expansions for large closed queueing networks with multiple job classes (with C. Knessl), IEEE Trans. on Computers 41 (1992), 480–488.
Dynamics of metapopulations with demographic stochasticity and environmental catastrophes (with M. Mangel), Theoret. Pop. Biol. 44 (1993), 1–31.
A simple direct method for finding persistence times of populations and application to conservation biology (with M. Mangel), Proc. Nat. Acad. Sci. 90 (1993), 1083–1086.
PDAC: A data parallel distribution by chain algorithm for closed queueing networks (with F. B. Hanson, J. D. Mei and H. Xu), Parallel Computing 19 (1993), 1345–1358.
Four facts every conservation biologist should know about the theory of persistence (with M. Mangel), Ecology 75 (1994), 607–614.
On state dependent GI/G/1 queues (with C. Knessl, B. J. Matkowsky and Z. Schuss), European J. Appl. Math. 5 (1994), 217–241.
A processor-shared queue which models switching times: heavy usage asymptotics (with C. Knessl), SIAM J. Appl. Math. 54 (1994), 854–875.
Asymptotic approximations for multiple class queueing networks with a terminal node (with J. D. Mei), SIAM J. Appl. Math. 54 (1994), 1745–1767.
Asymptotic properties of first passage times for tandem Jackson networks I: build up of large queue lengths (with C. Knessl), Commun. Statist. Stochastic Models 11 (1995), 133–162.
Applications of singular perturbation methods in queueing” (with C. Knessl), in Advances in Queueing: Theory, Methods and Open Problems, J. H. Dshalalow, ed., CRC Press, New York, 1995, 311–336.
Asymptotic properties of first passage times for two tandem queues: time to empty system (with C. Knessl), Commun. Statist. Stochastic Models 12 (1996), 633–672.
Mean time for the development of large workloads and large queue lengths in the GI/G/1 queue (with C. Knessl), Journal of Applied Mathematics and Stochastic Analysis 9 (1996), 107–142.
Asymptotic approximations and bottleneck analysis in product form queueing networks with large populations (with C. Knessl), Performance Evaluation 33 (1998), 219–248.
Heavy traffic analysis of a Markov-modulated queue with finite capacity and general service times (with C. Knessl), SIAM J. Appl. Math. 50 (1998), 257–323.
A diffusion model for two tandem queues with general renewal input (with C. Knessl), Comm. Stat.- Stochastic Models 15 (1999), 299–343.
Two tandem queues with general renewal input I: diffusion approximationand integral representations (with C. Knessl), SIAM J. Appl. Math. 59 (1999), 1917–1959.
Two tandem queues with general renewal input II: asymptotic expansions for the diffusion approximation (with C. Knessl), SIAM J. Appl. Math. 59 (1999), 1960–1997.
A ray approximation to a PDE arising in the study of tandem queues (with C. Knessl), Studies is Appl. Math. 102 (1999), 87–120.
A queueing system with queue length dependent service times, with application to cell discarding in ATM networks (with D. I. Choi and C. Knessl), Jouranl of Applied Mathematics and Stochastic Analysis 12 (1999), 35–62.
A simple fluid model for servicing priority traffic (with C. Knessl), IEEE Transactions on Automatic Control 46 (2001), 909–914.
A dynamic priority queue model for simultaneous service of two traffic types (with D. I. Choi and C. Knessl), SIAM Journal on Applied Mathematics 63 (2002), 398–422.
Computing the stability regions of Hill’s equation” (with S. V. Simakhina), Applied Mathematics and Computation 162 (2005), 639–660.

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