Program of the Sessions Chattanooga, Tennessee, October 5–6, 2001

Special Session on New Directions in Combinatorics Friday, October 5 and Graph Theory, I Meeting Registration 8:00 AM –10:50AM Ocoee Room (#204), University Center 7:30 AM –4:30PM Rooms 153 and 155, Metro Complex Organizers: Teresa Haynes, East Tennessee State University AMS Book Sale and Exhibit Debra J. Knisley, East Tennessee State University 7:30 AM –4:30PM Rooms 153 and 155, Metro Complex 8:10AM Channel assignments with distance conditions.
(7) Preliminary report. Special Session on Commutative Ring Theory, I Jerrold R Griggs, University of South Carolina (970-05-48) 8:00 AM –10:50AM SequoyahRoom (#203), University Center 8:10AM Distance in graphs: Reflecting on the past reviewing
(8) the present. Organizers: David F. Anderson,Universityof Gary Chartrand, Western Michigan University Tennessee, Knoxville (970-05-164) David E. Dobbs,Universityof 9:30AM Colored and chromatic distance. Tennessee, Knoxville
(9) Peter J. Slater, University of Alabama in Huntsville 8:00AM Singulars and Specker Domains: Preliminary (970-05-218)
(1) Report. Preliminary report. 10:00AM List-multicoloring problems with different kinds of Warren Wm McGovern, Bowling Green State (10) lists. Preliminary report. University (970-13-148) Peter D. Johnson, Jr., Auburn University 8:30AM On decomposing ideals into products of comaximal (970-05-55) (2) ideals. 10:30AM Graphs with small upper line-distinguishing and James W Brewer*, Florida Atlantic University, and (11) upper harmonious chromatic numbers. Preliminary William Heinzer, Purdue University (970-13-35) report. 9:00AM Boolean algebras and von Neumann regular rings. Johannes H Hattingh*, Georgia State University, (3) David F Anderson, University of Tennessee, Ron Michael A Henning, University of Natal, Levy,GeorgeMasonUniverity,andJay Shapiro*, Pietermaritzburg, and Elna Ungerer,Rand George Mason University (970-13-74) Afrikaans University (970-05-87) 9:30AM An Ideal-Based Zero-Divisor Graph. (4) Shane P Redmond, Southeastern Louisiana U. (970-13-64) Special Session on Real Analysis, I 10:00AM 1-split rings. Preliminary report. (5) Gabriel Picavet, University of Clermont II, France 8:00 AM –10:50AM Fort Wood Room (970-13-33) (#206), University Center 10:30AM Rings whose elements are a sum of a unit and an (6) idempotent. Organizers: Paul D. Humke, Saint Olaf College D. D. Anderson*andV. P. Camillo,TheUniversity Harry I. Miller,Universityof of Iowa (970-13-31) Tennessee, Chattanooga

The time limit for each contributed paper in the sessions is ten minutes. found in Volume 22, Issue 3 of Abstracts of papers presented to the In the Special Sessions the time limit varies from session to session and American Mathematical Society, ordered according to the numbers in within sessions. To maintain the schedule, time limits will be strictly parentheses following the listings. The middle two digits, e.g., 897-20- enforced. 1136, refer to the Mathematical Reviews subject classification assigned For papers with more than one author, an asterisk follows the name of by the individual author. Groups of papers for each subject are listed the author who plans to present the paper at the meeting. chronologically in the Abstracts. The last one to four digits, e.g., 897-20- Papers flagged witha solid triangle (
) have been designated by the 1136, refer to the receipt number of the abstract; abstracts are further author as being of possible interest to undergraduate students. sorted by the receipt number within each classification. Abstractsofpaperspresentedin the sessions at this meeting will be

Appendix–2 NOTICES OF THE AMS VOLUME 48, NUMBER 10 Chattanooga, TN, Friday, October 5 – Program of the Sessions

Clifford E. Weil, Michigan State 9:00AM Oscillation Theory for Dynamic Equations. University
(24) Preliminary report. 8:30AM Application of covering sets. Preliminary report. Lynn H. Erbe, University of Nebraska-Lincoln (12) Kandasamy Muthuvel,Universityof (970-39-138) Wisconsin-Oshkosh (970-26-77) 9:30AM On Global Stability in a Nonautonomous Genotype 9:00AM On the visibility of invisible sets. (25) Selection Model.
(13) Marianna Csornyei, University College London Chuanxi Qian, Mississippi State University (970-28-194) (970-39-219) 9:30AM Uncountable level sets of Lipschitz functions and 10:00AM Existence of Solutions for Integral Inclusions. (14) analytic sets. (26) Mouffak Benchohra, University of Sidi Bel Abbes, Emma D’Aniello, Seconda Universita’ degli Studi di Johnny Henderson*, Auburn University, and Sotiris Napoli (970-26-59) K. Ntouyas, University of Ioannina (970-34-30) 10:30AM Eventual Right Disfocality on Time Scales. 10:00AM Exceptional sets for polygonally approximable (15) functions. (27) Kathleen Fick, Avila College, Johnny Henderson, Paul D Humke*, St.Olaf College, and Michael J Auburn University, and William Yin*, LaGrange Evans, Washington and Lee University (970-26-143) College (970-34-29) 10:30AM Minimality of restrictions of compact minimal Special Session on Applications of Partial Differential (16) abelian flows in terms of eigenvalues. Equations in Geometric Analysis, I Alica Miller, University of Illinois at Urbana - Champaign (970-37-213) 8:30 AM –10:50AM Room 207, Metro Complex Organizers: Bo Guan, University of Tennessee, Special Session on Numerical Methods for PDEs, I Knoxville Changyou Wang,Universityof 8:00 AM –10:50AM Room 204, Metro Complex Kentucky 8:30AM Polyhedra with Area-Constrained Skeleta. Organizers: Susanne C. Brenner,Universityof (28) Preliminary report. South Carolina Scott B Berger and Robert M Hardt*, Rice Craig C. Douglas,Universityof University (970-49-227) Kentucky 9:00AM Spectral and Scattering Theory for the 8:00AM Efficient Gridding for Numerical Solution of PDE (29) Sub-Laplacian on the Heisenberg Group. Preliminary (17) Systems Defined on Arbitrarily-Shaped Domains. report. Preliminary report. Peter A Perry, University of Kentucky (970-35-175) Eric S Carlson*, University of Alabama, and 9:30AM The normalized mean curvature flow. Jinquan Xu, Univeristy of Alabama (970-39-37) (30) Nicholas D Alikakos,UniversityofAthens,and 8:30AM Numerical simulation of powder consolidation. Alex Freire*, University of Tennessee (970-35-187) (18) Pierre A Gremaud*andKristy A Coffey,North 10:00AM Some comments on Taylor’s problem. Preliminary Carolina State University (970-65-160)
(31) report. 9:00AM A Robust, Long Term Simulation to Secondary John McCuan, Georgia Tech (970-35-184) (19) Hydrocarbon Migration and Accumulation in Basin 10:30AM Constructing minimal surfaces using the support Modeling. (32) function. Hong Wang*, Univesity of South Carolina, and Frank E Baginski, The George Washington Weidong Zhao, Shandong University & University of University (970-53-22) South Carolina (970-65-152) 9:30AM Multigrid and Data Mining. Special Session on Topics in Geometric Function
(20) Linda Stals, Old Dominion University (970-00-109) Theory, I 10:00AM Parallel Algebraic Multigrid for Maxwell’s
(21) Equations. Preliminary report. 9:00 AM –10:50AM Lookout Mountain Room Jonathan Hu*, Pavel Bochev, Allen Robinson and (#117), University Center Raymond Tuminaro, Sandia National Laboratories Organizers: Lelia Miller-Van Wieren, Penn State (970-65-204) Berks Campus 10:30AM An Immersed Finite Element Space and Its Bruce P. Palka, University of Texas at (22) Approximation Capability. Austin Tao Lin, Virginia Tech (970-35-220) 9:00AM Mobius invariant metrics. Preliminary report. (33) David Herron, University of Cincinnati, William Ma, Pennsylvania College of Technology, and C. David Special Session on Asymptotic Behavior of Solutions Minda*, University of Cincnnati (970-30-144) of Differential and Difference Equations, I 9:30AM Quasidisks and the Noshiro-Warschawski Criterion. (34) Martin S. Chuaqui*andJulian Gevirtz,P. 8:30 AM –10:50AM Room 161, Metro Complex Universidad Catolica de Chile (970-30-182) Organizers: John R. Graef,Universityof 10:00AM Domains with controlled modulus and Tennessee, Chattanooga (35) quasiconformal mappings. Chuanxi Qian, Mississippi State Abdelkrim Brania*, Morehouse College, and University Shanshuang Yang, Emory University (970-30-93) 10:30AM Quasidisks and their one-sided cousins. Preliminary 8:00AM Discussion (36) report. 8:30AM Nabla Dynamic Equations. Preliminary report. Frederick W Gehring, University of Michigan
(23) Allan C. Peterson, University of Nebraska-Lincoln (970-30-88) (970-39-137)

NOVEMBER 2001 NOTICES OF THE AMS Appendix–3 Program of the Sessions – Chattanooga, TN, Friday, October 5 (cont’d.)

Invited Address 4:30PM Stability of an elliptic equilibrium of the difference
(49) p q equation xn+1 =1/(Axn + xn−1). 11:00 AM – NOON Room 129, Grote Hall Vlajko L Kocic*andRaegan J Higgins,Xavier University of Louisiana (970-39-131) 11:00AM Welcoming Remarks (37) Erdos˝ magic. 5:00PM An Existence Result for the Diffusive Logistic Joel H. Spencer, New York University (970-05-06) (50) Equation with Constant Effort Harvesting. Shobha Oruganti, Mississippi State University (970-35-224) Invited Address 5:30PM Discussion

1:25 PM –2:15PM Room 129, Grote Hall Special Session on New Directions in Combinatorics (38) Additive multigrid theory. and Graph Theory, II Susanne C. Brenner, University of South Carolina, 2:30 PM –5:20PM Ocoee Room (#204), University Center Columbia (970-65-09) Organizers: Teresa Haynes, East Tennessee State University Special Session on Commutative Ring Theory, II Debra J. Knisley, East Tennessee State University 2:30 PM –5:20PM SequoyahRoom (#203), University Center 2:30PM A Collection of Open Questions. Preliminary report.
(51) Richard H. Schelp, University of Memphis Organizers: David F. Anderson,Universityof (970-05-53) Tennessee, Knoxville 3:00PM Extremal Graphs for Intersecting Cliques. David E. Dobbs,Universityof
(52) Preliminary report. Tennessee, Knoxville Guantao Chen*, Georgia State University, Ronald J 2:30PM On Pseudo-almost valuation domains. Preliminary Gould, Floria Pfende,EmoryUniversity,andBing (39) report. Wei, Georgia State University (970-05-102) Ayman R Badawi, Birzeit University, Palestine 3:30PM Forbidden Subgraphs That Imply 2-Factors. (970-13-68) (53) Preliminary report. 3:00PM Valuation ideals of a Mori domain. Preliminary Jill R Faudree, University of Alaska - Fairbanks, and (40) report. RalphJ Faudree *, University of Memphis Jeanam Park*andGyu Whan Chang, Department (970-05-113) of Mathematics (970-13-188) 4:00PM Double Paths and Other Double Graphs. 3:30PM Intersections of valuation overrings of affine (54) John M Harris, Furman University (970-05-94) (41) algebras. Preliminary report. 4:30PM Connectivity and Cycles in Graphs and Matroids. Bruce M Olberding, The University of Louisiana at
(55) Preliminary report. Monroe (970-13-140) Talmage J Reid*andHaidong Wu,TheUniversity of Mississippi (970-05-82) 4:00PM Pinched Krull domains at prime ideals. Preliminary (42) report. 5:00PM Non-separating cycles in 4-connected graphs. Gyu W Chang, Inha University (970-13-162)
(56) Sean Curran and Xingxing Yu*, Georgia Tech (970-05-69) 4:30PM Prime ideals of Prufer domains of integer-valued (43) rational function rings. Preliminary report. Alan Loper, Ohio State University - Newark Special Session on Real Analysis, II (970-13-190) 2:30 PM –5:20PM Fort Wood Room (#206), 5:00PM Polynomials integer-valued on matrices. Preliminary University Center
(44) report. Sophie Frisch, TU Graz (Austria) (970-16-154) Organizers: Paul D. Humke, Saint Olaf College Harry I. Miller,Universityof Special Session on Asymptotic Behavior of Solutions Tennessee, Chattanooga of Differential and Difference Equations, II Clifford E. Weil, Michigan State University 2:30 PM –5:50PM Room 161, Metro Complex 2:30PM Hausdorff dimension, analytic sets and (57) transcendence. Preliminary report. Organizers: John R. Graef,Universityof Gerald A Edgar and Chris Miller*, The Ohio State Tennessee, Chattanooga University (970-28-178) Chuanxi Qian, Mississippi State 3:00PM M-tangent sets of continuous functions. Preliminary University (58) report. 2:30PM Asymptotically constant Solutions of Functional Zolt´an L. Buczolich, Michigan State University and (45) Difference Systems. Preliminary report. Eotv¨ os¨ Lor´and University (Budapest) (970-26-114) William F Trench, Trinity University (970-39-150) 3:30PM Boolean Functions and analytic sets. 3:00PM Bounds for solutions of multipoint boundary value (59) Udayan B Darji, University of Louisville (46) problems. (970-28-170) Gary D Jones, Murray State University (970-34-13) 4:00PM Pointwise Fourier inversion without the Riemann 3:30PM Delay Differential Equation Models of HIV Infection (60) Lebesgue Lemma. Preliminary report.
(47) of CD4+ T-cells. Erik Talvila, University of Alberta (970-26-92) Shigui Ruan, Dalhousie University (970-92-200) 4:30PM Quantization dimension of probability measures. 4:00PM The Quasilinearization Method on an Unbounded (61) Preliminary report. (48) Domain. Larry J Lindsay,UniversityofNorthTexas Paul W Eloe, University of Dayton (970-34-47) (970-28-132)

Appendix–4N OTICES OF THE AMS VOLUME 48, NUMBER 10 Chattanooga, TN, Friday, October 5 – Program of the Sessions

5:00PM On series of translates of positive functions. Special Session on Numerical Analysis and (62) R. Daniel Mauldin*, University of North Texas, and Approximation Theory, I Zoltan Buczolich, Department of Analysis, Eotvos Lorand University, Budapest, Hungary (970-26-32) 2:30 PM –4:50PM Room 159, Metro Complex Organizers: Tian-Xiao He, Illinois Wesleyan University Special Session on Topics in Geometric Function Theory, II Don Hong, Eastern Tennessee State √ University 2:30 PM –4:20PM Lookout Mountain Room 2:30PM 3-subdivision schemes with optimal polynomial (#117), University Center (73) reproduction. Preliminary report. Qingtang Jiang, West Virginia University Organizers: Lelia Miller-Van Wieren, Penn State (970-41-189) Berks Campus 3:00PM Efficiently Computing Sobolev Smoothness Exponent Bruce P. Palka, University of Texas at (74) of a Multivariate Refinable Function Using Austin Symmetry. Preliminary report. 2:30PM Euclidean properties of hyperbolic polar Bin Han, University of Alberta (970-42-62) (63) coordinates. Preliminary report. 3:30PM On an Efficient High Order Algorithm for Solving William Ma*, Pennsylvania College of Technology, (75) Systems of Reaction-Diffusion Equations. and David Minda, University of Cincinnati Wenyuan Liao, Mississippi State University, (970-30-14) Jianping Zhu*, University of Akron, and Abdul Q. 3:00PM Zeros of hypergeometric polynomials. M. Khaliq, Western Illinois University (970-65-107)
(64) Peter Duren, University of Michigan (970-30-58) 4:00PM Best Approximation for Symmetric Semi-definite 3:30PM Sets of Constant Width and the Apollonian Metric. (76) Positive Solutions of the Left and Right Inverse
(65) Zair S Ibragimov, University of Michigan Eigenvalue Problems on a Subspace. Preliminary (970-30-76) report. 4:00PM Extremal Domains for Minimizing Harmonic Jiansheng Cao*andDon Hong, East Tennessee
(66) Measure. Preliminary report. State University (970-65-120) Roger W Barnard*, LeahB Cole , Kent Pearce and 4:30PM On Multilevel Structure of Bivariate Spline Spaces Alex Y Solynin, Texas Tech University (970-30-174) (77) over Triangulations. Preliminary report. Don Hong, East Tennessee State University (970-41-119) Special Session on Mathematical and Numerical Aspects of Wave Propagation, I

2:30 PM –5:20PM Room 160, Metro Complex Special Session on Recent Advances in Optimization Organizers: Boris P. Belinskiy,Universityof Methods Tennessee, Chattanooga Yongzhi Xu, University of Tennessee, 2:30 PM –5:20PM Raccoon Mountain Room Chattanooga (#103), University Center 2:30PM Unambiguous identification of the rough Organizers: Jerald P. Dauer,Universityof (67) boundary of a half space probed by acoustic or Tennessee, Chattanooga electromagnetic waves. Aniekan Ebiefung,Universityof Jim Buchanan, US Naval Academy, Robert P Tennessee, Chattanooga Gilbert, University of Delaware, Armand Wirgin*, Laboratoire de Me´canique et d’Acoustique, 2:30PM Disjunctive programming and generalized Leontief and Yongzhi Xu, University of Tennessee at (78) Input-Output model. Preliminary report. Chattanooga (970-86-129) Ishita Majumdar*, Michael Kostreva,Clemson University, and Aniekan A. Ebiefung,Universityof 3:00PM Full Wave Extension of a Microlocal Seismic (68) Inversion Algorithm: ”Wave Tracing”. Tennessee at Chattanooga (970-49-136) Louis Fishman*, MDF International, and M. V. de 3:00PM Choice of Environmental Technologies, Hoop, Colorado School of Mines (970-35-97)
(79) Complementarity Problems, and Disjunctive Programming. Preliminary report. 3:30PM The Recovery of Anisotropic Conductivity in (69) Groundwater Modelling. Preliminary report. Aniekan A Ebiefung, University of Tennessee Ian W Knowles*andAimin Yan,Universityof (970-90-169) Alabama at Birmingham (970-35-180) 3:30PM Full Nuclear Cones, Pareto Efficiency and Ekeland’s (80) Principle. Preliminary report. 4:00PM Transient Reflection and Transmission of Ultrasonic (70) Wave in Bovine Cancellous Bone. Preliminary report. George Isac, Royal Military College (970-49-167) Yongzhi S Xu, University of Tennessee at 4:00PM Optimization on semialgebraic sets using Chattanooga (970-35-60) (81) representation theorems from real algebraic 4:30PM A reconstruction technique for two-dimensional geometry. (71) inverse spectral problems. Victoria Powers, Emory University (970-49-72) C. Maeve McCarthy, Murray State University 4:30PM Application of anisotropic regularization to (970-65-116) (82) existence of weak Pareto minimal points. 5:00PM Solving the Dynamical Inverse Problem for the Roman Sznajder, Bowie State University (72) Schrodinger Equation by the Boundary Control (970-90-141) Method. 5:00PM An Optimal Solution to the n-D Convex Hull Suzanne Lenhart, University of Tennessee (83) Problem. Preliminary report. (970-35-159) Edet Eyoh, Tennessee State University (970-49-168)

NOVEMBER 2001 NOTICES OF THE AMS Appendix–5 Program of the Sessions – Chattanooga, TN, Friday, October 5 (cont’d.)

Special Session on Numerical Methods for PDEs, II Special Session on Differential Geometric Methods in the Control of Partial Differential Equations, I 2:30 PM –5:20PM Room 204, Metro Complex 2:30 PM –5:20PM Room 206, Metro Complex Organizers: Susanne C. Brenner,Universityof South Carolina Organizers: Walter Littman,Universityof Craig C. Douglas,Universityof Minnesota Kentucky Roberto Triggiani,Universityof 2:30PM Dissipative Boussinesq systems for water waves. Virginia
(84) Min Chen, University of Central Florida 2:30PM Boundary Control of Wave Equations on Riemannial (970-65-108) (95) Manifolds via Geometric Methods. 3:00PM Fast Preconditioners for the Numerical Simulation Walter Littman, University of Minnesota
(85) of Oceans. (970-35-192) Craig C Douglas,UniversityofKentucky 3:30PM Discussion (970-65-36) 3:30PM A Fast Conservative Semi-Lagrangian Method with (86) Application to Global Circulation Models. Special Session on Sphere-Related Approximation and Preliminary report. Applications, I Jeffrey S Scroggs*, Frederick H Semazzi and Ramachandran Nair, North Carolina State 2:30 PM –4:20PM Room 212, Metro Complex University (970-65-41) Organizers: Edward B. Saff,UniversityofSouth 4:00PM Discretization analysis in nonlinear optimal control. Florida (87) William W Hager, University of Florida (970-49-155) Larry L. Schumaker, Vanderbilt 4:30PM Finite element solutions for 3-D elliptic boundary University (88) value problems on unbounded domains. Preliminary 2:30PM High Order Approximation on the Sphere using report.
(96) Polynomial Reconstruction. Hae-Soo Oh*, University of North Carolina at Paul O. Frederickson*, National Center for Charlotte, Jae-Heon Yun, Chungbuk National Supercomputing Applications, and Howard W. University, and Bongsoo Jang,UniversityofNorth Frederickson, Math Cube Associates, Inc. Carolina at Charlotte (970-65-99) (970-41-214) 5:00PM On a scalable parallel algorithm for solving time 3:00PM On the Approximation Order of Splines on Spherical (89) dependent partial differential equations. (97) Triangulations. Preliminary report. Wilson Rivera, University of Puerto Rico, Jianping Mike Neamtu*andLarry L Schumaker, Vanderbilt Zhu*, University of Akron, and David Huddleston, University (970-65-191) Mississippi State University (970-65-100) 3:30PM Approximation of functions via scattered-data (98) interpolants constructed from smoother spherical basis functions. Francis J Narcowich*andJosephD Ward ,Texas Special Session on Variational Problems for Free A&M University (970-41-222) Surface Interfaces, I 4:00PM Approximation in Sobolev Spaces by Kernel (99) Expansions. Preliminary report. 2:30 PM –5:30PM Room 351, Metro Complex Francis J. Narcowich, Texas A&M University, Robert Schaback, Universitat Gottingen, and Organizers: John E. McCuan, Georgia Institute of JosephD Ward *, Texas A&M University (970-41-16) Technology Thomas I. Vogel,TexasA&M University Special Session on Applications of Partial Differential Henry C. Wente,UniversityofToledo Equations in Geometric Analysis, II 2:30PM Equilibrium Configurations for a Floating Drop. 2:30 PM –5:20PM Room 207, Metro Complex (90) David Siegel*, University of Waterloo, Alan Elcrat, Wichita State University, and Robert Neel,Harvard Organizers: Bo Guan, University of Tennessee, University (970-76-90) Knoxville 3:00PM Local minimizers of capillary problems. Preliminary Changyou Wang,Universityof (91) report. Kentucky ErichMiersemann ,Universita¨t Leipzig, 2:30PM p-harmonic maps with some applications in Mathematisches Institut,Germany (970-49-46) (100) geometric analysis. Preliminary report. 3:30PM Complete embedded CMC surfaces with many Shihshu W. Wei, The University of Oklahoma (92) coplanar ends. Preliminary report. (970-53-161) , University of Illinois (970-53-217) John M Sullivan 3:00PM Wave maps with target in the Heisenberg group. 4:00PM Comments on the continuity of bounded (101) Preliminary report.
(93) nonparametric capillary surfaces at corners. Luca Capogna, University of Arkansas (970-35-104) Preliminary report. 3:30PM A Kazdan-Warner type condition and heat kernel Kirk E Lancaster, Wichita State University (102) estimates on noncompact manifolds. (970-35-216) Qi S Zhang, University of Memphis and University 4:30PM Local Energy Minimality of Capillary Surfaces in the of California Riverside (970-35-79) (94) Presence of Symmetry. 4:00PM Weil-Petersson geometry of Teichmuller spaces and Thomas I Vogel,TexasA&MUniversity (103) harmonic mapping. (970-53-125) Sumio Yamada, University of Alabama at 5:00PM Discussion Birmingham (970-58-65)

Appendix–6 NOTICES OF THE AMS VOLUME 48, NUMBER 10 Chattanooga, TN, Saturday, October 6 – Program of the Sessions

4:30PM A Parabolic Equation for Prescribing Scalar 9:30AM On the Factorization Properties of Krull Domains (104) Curvature. Preliminary report. (114) with Finite Cyclic Divisor Class Group. Preliminary Brain Smith*andGilbert Weinstein,Universityof report. Alabama (970-58-201) William W Smith, University of North Carolina at 5:00PM Kahler-Ricci¨ solitons on compact complex manifolds Chapel Hill (970-13-26) (105) with c1(M) > 0. 10:00AM On the asymptotic values of length functions in Huai-Dong Cao*, Texas A&M University, Gang (115) Krull and finitely generated commutative monoids Tian, Massachusetts Institute of Technology, and and integral domains. Preliminary report. Xiaohua Zhu, Peking University (970-53-195) Scott T. Chapman*, Trinity University, and J. C. Rosales, Universidad de Granada (970-13-117) Session for Contributed Papers, I 10:30AM Prime-Producing Polynomials II. Preliminary report. (116) Joe L Mott*andKermit Rose, Florida State 2:30 PM –3:40PM Room 300, Metro Complex University (970-11-122)

2:30PM Some Results on the Location of Zeros of a Special Session on Asymptotic Behavior of Solutions
(106) Polynomial. Robert Gardner, East Tennessee State University of Differential and Difference Equations, III (970-30-171) 8:00 AM –10:50AM Room 161, Metro Complex 2:45PM The Homomorphic Image of a Protopological Group (107) (Preliminary Report). Preliminary report. Organizers: John R. Graef,Universityof Julie C Jones, University of Louisiana at Lafayette Tennessee, Chattanooga (970-22-63) Chuanxi Qian, Mississippi State 3:00PM Maximal Centralizers and the Sym(3)-conjecture. University (108) Preliminary report. 8:00AM Multiplicity and Global Bifurcation on Measure Cecil A Ellard, Bloomington, Indiana (970-20-196) (117) Chains. Preliminary report. 3:15PM Recent Results on E-groups. Preliminary report. John M Davis, Baylor University (970-39-223) (109) Gregory M Boudreaux, University of North Carolina 8:30AM Discussion at Asheville (970-20-221) 9:00AM Stability Of Stochastic Natural Growth Models With 3:30PM Coxeters’s Dodecahedral Projections of the Dim 4 (118) Density Dependent Noise.
(110) and Dim 5 Measure Polytopes: A Natural Model for Thomas C Gard, University of Georgia (970-34-24) The 2-Fold and 4-Fold Degeneracy of the Genetic 9:30AM Mathematical Analysis of the Global Dynamics of a Code? Preliminary report. (119) Model for HTLV-IInfectionand ATL Progression. David J Halitsky, Computer Systems Technology Liancheng Wang*, Georgia Southern University, (970-51-15) Michael Y Li, University of Alberta, and Denise Kirschner, University of Michigan (970-37-115) 10:00AM On the Riemann Integration on Time Scales.
(120) Preliminary report. Billur Kaymakcalan*, Georgia Southern University, Saturday, October 6 and Gusein S Guseinov, Atilim University (970-39-181) Meeting Registration 10:30AM Stability in Volterra Equations by Liapunov’s Direct
(121) Method. Preliminary report. 8:00 AM – NOON Rooms 153 and 155, Metro Complex Bo Zhang, Fayetteville State University (970-34-123)

AMS Book Sale and Exhibit Special Session on New Directions in Combinatorics and Graph Theory, III 8:00 AM – NOON Rooms 153 and 155, Metro Complex 8:00 AM –10:50AM Ocoee Room (#204), University Center Special Session on Commutative Ring Theory, III Organizers: Teresa Haynes, East Tennessee State University 8:00 AM –10:50AM SequoyahRoom (#203), Debra J. Knisley, East Tennessee State University Center University Organizers: David F. Anderson,Universityof 8:00AM A characterization of cubic parity graphs. Tennessee, Knoxville
(122) Rommel M Barbosa, Universidade Federal de Mato David E. Dobbs,Universityof Grosso, and Mark N Ellingham*, Vanderbilt Tennessee, Knoxville University (970-05-98) 8:00AM Integral domains whose simple overrings are 8:30AM On graph irregularity strength. (111) intersectons of localizations. Preliminary report. (123) Alan Frieze, Carnegie Mellon University, Ronald J Marco Fontana, Universita Roma Tre, Evan Gould*, Emory University, Michal Karonski,Adam Houston*andThomas G Lucas, UNC Charlotte Mickiewicz University, and Florian Pfender,Emory (970-13-121) University (970-05-83) 8:30AM Root closure in algebraic orders. 9:00AM Amalgamations of graphs. (112) Martine Picavet-L’Hermitte, University of Clermont
(124) Chris A Rodger, Auburn University (970-05-43) II (970-13-34) 9:30AM Mathematical Programming Formulation of 9:00AM Norm Elasticities for Number Fields and a (125) Rectilinear Crossing Minimization. (113) Generalized Davenport Constant. Preliminary Nathaniel Dean, Rice University (970-05-126) report. 10:00AM Another View of Convexity in Digraphs. Jim Coykendall, North Dakota State University
(126) Ping Zhang, Western Michigan University (970-13-147) (970-05-163)

NOVEMBER 2001 NOTICES OF THE AMS Appendix–7 Program of the Sessions – Chattanooga, TN, Saturday, October 6 (cont’d.)

10:30AM How graceful are random graphs? Preliminary 10:30AM Minimization problems and corresponding flows
(127) report. (139) related to weighted P-energies and weighted total Anant P Godbole, East Tennessee State University variation norms. Preliminary report. (970-05-42) Yunmei Chen*andMurali Rao, university of florida (970-35-199)

Special Session on Numerical Methods for PDEs, III

8:00 AM –10:50AM Room 204, Metro Complex Special Session on Real Analysis, III Organizers: Susanne C. Brenner,Universityof 8:30 AM –10:50AM Fort Wood Room South Carolina (#206), University Center Craig C. Douglas,Universityof Kentucky Organizers: Paul D. Humke, Saint Olaf College 8:00AM Superconvergence of finite element approximation Harry I. Miller,Universityof (128) for the Stokes equations. Tennessee, Chattanooga Xiu Ye*, University of Arkansas at Little Rock, and Clifford E. Weil, Michigan State Junping Wang, Colorado School of Mines University (970-65-106) 8:00AM Discussion 8:30AM n-widths and singularly perturbed boundary value (129) problems. 8:30AM Summability of Spliced Sequences. Preliminary Bruce Kellogg*, University of South Carolina, and (140) report. Martin Stynes, UCC Cork, Ireland (970-65-80) Jeffrey A Osikiewicz, Kent State University (970-40-21) 9:00AM A non-conforming hp finite element method for
(130) submeshing. Preliminary report. 9:00AM Helly’s Selection Principle and Selections of BV
Padmanabhan Seshaiyer, Texas Tech University (141) Mappings. Preliminary report. (970-65-57) John E. Porter*, Auburn University, and Isidore Fleischer, Universite de Montreal (970-46-12) 9:30AM Two-level additive Scwarz methods for a (131) discontinuous Galerkin approximation of 9:30AM Helly’s Selection Theorem for Vector Space Valued second-order elliptic problems. (142) Multi-Argument BV Functions. Preliminary report. Xiaobing Feng and Ohannes Karakashian*, Isidore Fleischer*, CRM, University of Montreal, University of Tennessee (970-65-146) and John E Porter, Murray State University (970-26-73) 10:00AM Multilevel discontinuous Galerkin methods. (132) Jayadeep Gopalakrishnan*, University of Florida, 10:00AM Types over the Banach space C(K). and Guido Kanschat, Institut fu¨r Angewandte (143) Markus Pomper, Indiana University East Mathematik (970-65-124) (970-46-44) 10:30AM High Order Compact Scheme and Multigrid Local 10:30AM On the multiplicity points of Frechet subdifferentials
(133) Refinement for Convection Diffusion Problems. (144) of separable spaces. Jun Zhang*, Haiwei Sun, University of Kentucky, Shawn Wang, Okanagan University College and Jennifer J Zhao, University of Michigan at (970-26-206) Dearborn (970-65-198)

Special Session on Applications of Partial Differential Special Session on Numerical Analysis and Equations in Geometric Analysis, III Approximation Theory, II

8:00 AM –10:50AM Room 207, Metro Complex 8:30 AM –10:50AM Room 159, Metro Complex Organizers: Bo Guan, University of Tennessee, Organizers: Tian-Xiao He, Illinois Wesleyan Knoxville University Changyou Wang,Universityof Don Hong, Eastern Tennessee State Kentucky University 8:00AM On a Nonlinear Parabolic System – Modelling 8:30AM Wavelet Solutions of Burgers Equations. (134) Chemical Reactions in Rivers. Preliminary report. (145) En-Bing Lin, University of Toledo (970-65-203) Wenxiong Chen,SMSU,Congming Li*, Univ.of 9:00AM Using Positive Multiscaling Functions on the Interval Colorado Boulder, and Eric Wright,Univ.of (146) to Solve a Certain Class of Multipower Equations. Colorado (970-35-85) Preliminary report. 8:30AM Uniform Rectifiability and PDE’s. Preliminary report. Patrick J Van Fleet,UniversityofSt.Thomas (135) John L Lewis, University of Kentucky (970-35-103) (970-41-209) 9:00AM On the finite time singularity of the heat flow for 9:30AM Frame Wavelet Sets. (136) harmonic maps from surfaces. Preliminary report.
(147) Xingde Dai*, Yuanan Diao, UNC-Charlotte, and Jie Qing, UCSC (970-35-207) Qing Gu, Beijing University (970-46-128) 9:30AM Transonic shocks for steady potential flows and 10:00AM Biorthogonal Wavelets with the Lagest Possible (137) free boundary problems. (148) Regularities and Certain Vanishing Moments. Gui-Qiang Chen, Northwestern University, and Tian-Xiao He, Illinois Wesleyan University Mikhail Feldman*, University of Wisconsin-Madison (970-42-110) (970-35-118) 10:30AM Generalized Stirling Numbers and Their 10:00AM The Bethe-Sommerfeld Conjecture for Higher-Order (149) Applications. (138) Elliptic Operators. LeetschC. Hsu , Dalian University of Technology Zhongwei Shen, University of Kentucky (970-35-56) (970-41-212)

Appendix–8 NOTICES OF THE AMS VOLUME 48, NUMBER 10 Chattanooga, TN, Saturday, October 6 – Program of the Sessions

Special Session on Differential Geometric Methods in Special Session on Variational Problems for Free the Control of Partial Differential Equations, II Surface Interfaces, II

8:30 AM –10:50AM Room 206, Metro Complex 9:00 AM –10:50AM Room 351, Metro Complex Organizers: Walter Littman,Universityof Organizers: John E. McCuan, Georgia Institute of Minnesota Technology Roberto Triggiani,Universityof Thomas I. Vogel,TexasA&M Virginia University 8:30AM Discussion Henry C. Wente,UniversityofToledo 9:00AM Bifurcation Phenomena for Capillary Surfaces and Special Session on Topics in Geometric Function
(158) Exotic Containers. Preliminary report. Theory, III Henry C Wente, University of Toledo (970-49-179) 9:30AM Regularity at the free boundary for solutions of 9:00 AM –10:50AM Lookout Mountain Room (159) systems of elliptic equations in divergence form. (#117), University Center Preliminary report. JosephF Grotowski ,Universit¨at Erlangen-Nurnberg¨ Organizers: Lelia Miller-Van Wieren, Penn State (970-35-173) Berks Campus 10:00AM Discontinuous reversal of comparison relations for Bruce P. Palka, University of Texas at
(160) capillary surfaces. Austin Robert Finn*, Stanford University, and A. A. 9:00AM On Order of Convexity of Functions defined by Kosmodem’yanskii, Jr., Moscow Railroad University (150) certain Integral transforms. (970-76-96) M. Anbu Durai and R. Parvatham*, The Ramanujan 10:30AM Soap bubbles and Riemann surfaces. Preliminary Institute for Advanced Study in Mathematics (161) report. (970-30-40) Robert B Kusner, University of Massachusetts 9:30AM A note on Ruscheweyh type of integral operator for (970-53-66) (151) uniformly α-convex functions. M. Anbu Durai*andR. Parvatham, The Ramanujan Institute for Advanced Study in Mathematics (970-30-39) 10:00AM Potential theoretic measures on boundaries of Session for Contributed Papers, II (152) domains in metric measure spaces. Preliminary report. 9:00 AM –10:25AM Room 300, Metro Complex Nageswari Shanmugalingam*, University of Texas at Austin, Jana Bjorn, University of Lund, and 9:00AM Irreducible Powerful Ray Pattern Matrices. Anders Bjorn, Linkoping University (970-31-145) (162) Frank J Hall*, Zhongshan Li, Georgia State University, and Jeffrey L Stuart,UnivofSouthern 10:30AM Conformal deformations of uniformizable spaces. Mississippi (970-15-28) (153) Preliminary report. David A Herron, University of Cincinnati 9:15AM Inertia Sets of Symmetric Sign Pattern Matrices. (970-30-105) (163) Frank J Hall and Zhongshan Li*, Georgia State University (970-15-49) 9:30AM Fast matrix methods for the solution of Special Session on Mathematical and Numerical
(164) nonhomogeneous Sterm-Louiville problems with Aspects of Wave Propagation, II applications to inclusions in a two-way Ocean wave-guide. Preliminary report. 9:00 AM –10:50AM Room 160, Metro Complex Michael F Werby, Naval Research Laboratory, Code Organizers: Boris P. Belinskiy,Universityof 7181 Stennis Space Center, MS 39529 (970-35-186) Tennessee, Chattanooga 9:45AM Numerical Solution to Random Boundary Value Yongzhi Xu, University of Tennessee, (165) Problems. Preliminary report. Chattanooga G S Ladde, University of Texas at Arlington, NG Medhin*, Clark Atlanta University, and M 9:00AM System of Basic Functions for the Two-Dimensional Sambandham, Morehouse College (970-34-225) (154) Periodic Magnetic Schrodinger¨ Operator. Preliminary report. 10:00AM Edge coloring of embeddable graphs and Edge-face Yulia Karpeshina, University of Alabama at
(166) coloring of simple plane graphs. Preliminary report. Birmingham (970-35-193) Rong Luo*andCunquan Zhang, Department of Mathematics, West Virginia University (970-05-226) 9:30AM Electromagnetic Propagation in Periodic (155) Translationally Invariant Media. 10:15AM Euler’s Generalisation of Fermat’s Theorem - a Gregory A Kriegsmann, New Jersey Insitute of (167) further generalisation. Technology (970-78-202) A. K. Devaraj, Mumbai, India (970-11-75) 10:00AM Effective Acoustic Equations for a Two-phase (156) Medium with Microstructure. Robert P Gilbert*, University of Delaware, and Alexander Panchenko, Penn State University (970-35-151) Invited Address

10:30AM Stochastic Stability of Some Mechanical Systems. 11:00 AM – 11:50 AM Room 129, Grote Hall (157) Preliminary report. Boris P Belinskiy*, University of Tennessee at (168) Logarithmic potentials with external fields. Chattanooga, and Peter Caithamer,Universityof Edward B. Saff, University of South Florida Wisconsin, Madison (970-35-95) (970-31-08)

NOVEMBER 2001 NOTICES OF THE AMS Appendix–9 Program of the Sessions – Chattanooga, TN, Saturday, October 6 (cont’d.)

Invited Address 4:30PM On the generalized reciprocal difference equation
(180) with maximum. Preliminary report. 1:25 PM –2:15PM Room 129, Grote Hall Hristo D. Voulov, Southern Illinois University (970-39-142) (169) Differential geometric methods in the control of partial differential equations. 5:00PM Discussion Roberto Triggiani, University of Virginia 5:30PM Discussion (970-93-07) Special Session on New Directions in Combinatorics Special Session on Commutative Ring Theory, IV and Graph Theory, IV

2:30 PM –5:20PM SequoyahRoom (#203), 2:30 PM –5:20PM Ocoee Room (#204), University Center University Center Organizers: Teresa Haynes, East Tennessee State Organizers: David F. Anderson,Universityof University Tennessee, Knoxville Debra J. Knisley, East Tennessee State David E. Dobbs,Universityof University Tennessee, Knoxville 2:30PM On bounds for dominating the Cartesian product of
(181) two graphs. Preliminary report. 2:30PM Monoids and Direct Sum Decompositions of (170) Modules. Preliminary report. Douglas F. Rall*, Furman University, and Bert L. Karl Kattchee, University of Wisconsin, La Crosse Hartnell, Saint Mary’s University (970-05-71) (970-13-177) 3:00PM Some Results Related to the Toughness of (182) 3-Domination Critical Graphs. 3:00PM When Locally Isomorphic Modules are Stably (171) Isomorphic. Preliminary report. Nawarat Ananchuen, Silpakorn University, and Bruce Olberding and AzimeSSaydam*, University Michael D. Plummer*, Vanderbilt University of Louisiana at Monroe (970-13-27) (970-05-45) ∼ 3:30PM Domination Dot-Critical Graphs. 3:30PM The existence of K such that J = HomR (I,K)

(172) (Preliminary Report). Preliminary report. (183) Tamara A Burton, Armstrong Atlantic State Kurt D Herzinger, U.S. Air Force Academy University, and David P Sumner*, University of (970-13-130) South Carolina (970-05-89) 4:00PM Alliances in Graphs. Preliminary report. 4:00PM Torsion in the tensor product of an ideal and its
(173) inverse. Preliminary report. (184) Stephen T Hedetniemi*, Sandra M Hedetniemi, Kurt Herzinger,USAirForceAcademy,andRoger Clemson University, and Petter Kristiansen, Wiegand*, University of Nebraska (970-13-157) University of Bergen, Norway (970-05-158) 4:30PM (In)equalities and Integer Partitions. 4:30PM Generators for Ideals defining Curvilinear
(185) Sylvie Corteel,Universit´e de Versailles, and Carla (174) Subschemes of P2. Preliminary report. D Savage*, North Carolina State University , Florida Atlantic University Stephanie Fitchett (970-05-208) Honors College (970-14-23) 5:00PM AntiVandermonde Polynomials and Their 5:00PM Recent results in commutative ring theory. (186) Combinatorial Applications. (175) Preliminary report. Andre E Kezdy, University of Louisville (970-05-70) SBMulay, University of Tennessee (970-13-205)

Special Session on Real Analysis, IV Special Session on Asymptotic Behavior of Solutions of Differential and Difference Equations, IV 2:30 PM –5:20PM Fort Wood Room (#206), University Center 2:30 PM –5:50PM Room 161, Metro Complex Organizers: Paul D. Humke, Saint Olaf College Organizers: John R. Graef,Universityof Harry I. Miller,Universityof Tennessee, Chattanooga Tennessee, Chattanooga Chuanxi Qian, Mississippi State Clifford E. Weil, Michigan State University University 2:30PM Estimates for the norms of solutions of difference 2:30PM Differentiation of n-Convex Functions.
(176) equations. (187) RalphE Svetic , Michigan State University Rigoberto Medina, Universidad de Los Lagos (970-26-50) (970-39-166) 3:00PM Interpolatively Continuous Functions and the 3:00PM Monotone Flows and Fixed Points for Autonomous (188) Darboux Heierarchy. Preliminary report. (177) Reaction Diffusion Systems. Robert W Vallin, Slippery Rock University of PA Aghalaya S Vatsala, University of Louisiana at (970-26-165) Lafayette (970-35-153) 3:30PM Prevalent properties of continuous functions. 3:30PM Some boundary value problems for nonlinear
(189) Preliminary report.
(178) differential equations of the fourth order. Hongjian H Shi, Vancouver, Canada (970-26-101) John R. Graef, University of Tennessee at Chattanooga, Chuanxi Qian and Bo Yang*, 4:00PM Extreme first return path derivatives. Mississippi State University (970-34-185) (190) Ali A Alikhani-Koopaei, Pennsylvania State University (970-26-54) 4:00PM On the oscillation and periodic character of a third
(179) order rational difference equation. Preliminary 4:30PM Real Analysis Exchange On-Line. Preliminary report. report.
(191) Clifford E Weil*, Michigan State University, and William T. Patula*andHristo D. Voulov,Southern Paul D Humke, Saint Olaf College (970-26-172) Illinois University (970-39-81) 5:00PM Discussion

Appendix–10 NOTICES OF THE AMS VOLUME 48, NUMBER 10 Chattanooga, TN, Saturday, October 6 – Program of the Sessions

Special Session on Topics in Geometric Function 3:00PM Locally convex hypersurfaces of vanishing Gauss Theory, IV (201) curvature. Bo Guan*, University of Tennessee, and Joel 2:30 PM –4:20PM Lookout Mountain Room Spruck, Johns Hopkins University (970-53-215) (#117), University Center 3:30PM Recovering surfaces from the restoring force. (202) George I Kamberov*, Stevens Institute of Organizers: Lelia Miller-Van Wieren, Penn State Technology, and Gerda L Kamberov,Hofstra Berks Campus University (970-53-211) Bruce P. Palka, University of Texas at Austin Special Session on Differential Geometric Methods in 2:30PM Vanishing exponential integrability. Preliminary the Control of Partial Differential Equations, III (192) report. David R Adams, University of Kentucky, and Ritva 2:30 PM –5:20PM Room 206, Metro Complex M Hurri-Syrjanen*, University of Helsinki, University of Kentucky (970-31-38) Organizers: Walter Littman,Universityof Minnesota 3:00PM Sharp exponential integrability of borderline (193) Sobolev functions in stratified Lie groups. Roberto Triggiani,Universityof Zolt´an M. Balogh, University of Bern, Juan J. Virginia Manfredi, University of Pittsburgh, and Jeremy T. 2:30PM Discussion Tyson*, SUNY at Stony Brook (970-43-84) 3:30PM Packability of Noncompact Riemann Surfaces. Special Session on Sphere-Related Approximation and (194) Preliminary report. Applications, II G Brock Williams, Texas Tech University (970-30-127) 2:30 PM –4:50PM Room 212, Metro Complex 4:00PM On an omitted arc of a support point of the class S. Organizers: Edward B. Saff,UniversityofSouth (195) Preliminary report. Florida Stephen M Zemyan, Penn State Mont Alto Larry L. Schumaker, Vanderbilt (970-30-176) University 2:30PM Global high-resolution gravitational model Special Session on Mathematical and Numerical (203) development: current practices and future Aspects of Wave Propagation, III challenges. Nikolaos K Pavlis, Raytheon ITSS Corporation 2:30 PM –4:20PM Room 160, Metro Complex (970-86-20) 3:00PM Global Gravity Field Modeling for EGM0X. Organizers: Boris P. Belinskiy,Universityof (204) Steve C Kenyon, National Imagery and Mapping Tennessee, Chattanooga Agency (970-83-17) Yongzhi Xu, University of Tennessee, 3:30PM Earth Gravity Field Recovery from Satellite Orbit Chattanooga (205) Perturbations. 2:30PM Nonlinear wave interactions in a generic periodic Peter Schwintzer*andChristoph Reigber, (196) media. GeoForschungsZentrum Potsdam, Div.1 (970-86-67) Anatoli V Babin, University of California,Irvine 4:00PM Distribution of points on spheres using finite fields. (970-78-133)
(206) Steven B Damelin, GSU (970-41-61) 3:00PM A blow up result for a nonlinear wave equation with 4:30PM Logarithmic points on the sphere. (197) damping: the critical case.
(207) Peter D Dragnev, Indiana-Purdue University , University of Memphis and University Qi S Zhang (970-31-18) of California Riverside (970-35-78) 3:30PM Finite dimensionality of the attractor for a 2-D John L. Bryant (198) semilinear wave equation with nonlinear Associate Secretary dissipation. Preliminary report. Tallahassee, Florida Irena M Lasiecka and Anastasia A Ruzmaikina*, University of Virginia (970-35-25) 4:00PM Some analytical and numerical results for the (199) quasilinear hyperbolic Kuznetsov equation of fluid acoustics. Pedro M Jordan, Naval Research Laboratory, Stennis Space Center, MS (970-76-156)

Special Session on Variational Problems for Free Surface Interfaces, III

2:30 PM –3:50PM Room 351, Metro Complex Organizers: John E. McCuan, Georgia Institute of Technology Thomas I. Vogel,TexasA&M University Henry C. Wente,UniversityofToledo 2:30PM Big MEMS. Preliminary report.
(200) John McCuan*andJohn Pelesko,GeorgiaTech (970-35-183)

NOVEMBER 2001 NOTICES OF THE AMS Appendix–11