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Mathematics

TAMU Math Publications 2000

Beatriz Abadie

  • B. Abadie, The range of traces on quantum Heisenberg manifolds, Trans. Amer. Math. Soc. 352 (2000), no. 12, 5767-5780 (electronic).

Michael Anshelevich

  • M. Anshelevich, Free stochastic measures via noncrossing partitions, Adv. Math. 155 (2000), no. 1, 154-179.

Guy Battle

  • G. Battle, Osiris wavelets in three dimensions, Ann. Phys. 286(1) (2000), 23-107.

G.R. Blakley

  • G.R. Blakley, I. Borosh, and A. Klappenecker, Construction and categories of codes, E. Dawson, A. Clark, and C. Boyd (eds.), Information Security and Privacy, Proc. 5th Australasian Conference, ACISP 2000, Brisbane, Australia, July 2000, Vol. 1841, Lect Notes in Computer Science, G. Goos, J. Hartmanis, and J. van Leeuwen (eds.), Springer-Verlag, Berlin 2000, pp. 266-277.

  • G.R. Blakley, All Sail, No Anchor, I: Cryptography, Risk, and e-Commerce, in Information Security and Privacy, Proc. 5th Australasian Conference, ACISP 2000, Brisbane, Australia, July 2000, E. Dawson, A. Clark, and C. Boyd (eds.), Vol. 1841, Lect. Notes in Computer Science, G. Goos, J. Hartmanis, and J. van Leeuwen (eds.), Springer-Verlag, Berlin (2000), pp. 471-476.

Harold P. Boas

  • H.P. Boas, Lu Qi-Keng's problem J. Korean Math. 37 (2000), 253-267.

  • H.P. Boas, Majorant series, J. Koren Math. 37 (2000), 321-337.

  • H.P. Boas and D. Khavinson, Vita: Friedrich Wilhelm Wiener, Math. Intelligencer 22 (2000), 73-75.

  • H.P. Boas, Advanced calculus crossword puzzle, Amer. Math. Monthly 107 (2000), 892-900.

  • H.P. Boas, Graphical 1 and 2, a book review, Amer. Math. Monthly 107 (2000), 286-291.

  • H.P. Boas, Integrating computer technology into the university mathematics curriculum, Bull. Bombay Math. Colloq. 14 (1998; date of actual publication, 2000), 10-15.

Itshak Borosh

  • G.R. Blakley, I. Borosh, and A. Klappenecker, Construction and categories of codes, Information Security and Privacy, Proc. 5th Australasian Conference, ACISP 2000, Brisbane, Australia, July 2000, E. Dawson, A. Clark, and C. Boyd (eds.), Vol. 1841, Lect. Notes in Computer Science, G. Goos, J. Hartmanis, and J. van Leeuwen (eds.), Springer-Verlag, Berlin 2000, pp. 266-277.

Lewis Bowen

  • L. Bowen, Circle packing in the hyperbolic plane, Math. Phys. Electron. J. 6 (2000), Paper 6, 10 pp.

James H. Bramble

  • J.H. Bramble, J.E. Pasciak, and P.S. Vassilevski, Computational scales of Sobolev norms with application to preconditioning, Math. Comp. 69 (2000), 463-480.

  • J.H. Bramble, J.E. Pasciak, and A.T. Vassilev, Uzawa type algorithms for nonsymmetric saddle point problems, Math. Comp. 69 (2000), no. 230, 667-689.

Huai-Dong Cao

Tullio Ceccherini-Silberstein

  • C. Béguin and T. Ceccherini-Silberstein, Formes faibles de moyennabilité pour les groupes á un relateur, (French) [Weak forms of amenability for one-relator groups] Bull. Belg. Math. Soc. Simon Stevin 7 (2000), no. 1, 135-148.

Goong Chen

  • G. Chen, M.P. Coleman, D. Ma, P.J. Morris, and P. You, The fundamental solution of the shallow circular cylindrical shell, Part I. Derivations, Internat. J. Engrg. Sci. 38 (2000), 1235-1257.

  • G. Chen, M.P. Coleman, and P.J. Morris, The fundamental solution of the shallow circular cylindrical shell, Part II. Numerical algorithms and software, Internat. J. Engrg. Sci. 38 (2000), 1259-1274.

  • G. Chen, W.M. Ni, and J. Zhou, Algorithms and visualization for solutions of nonlinear elliptic equations, Internat. J. Bifur. Chaos 7 (2000), 1565-1612.

  • G. Chen, T. Huang, and S.B. Hsu, Nonlinear boundary feedback control of the one-dimensional wave equation, Proc. 39th IEEE Conference on Decision and Control (Dec. 2000) Sydney, Australia, pp. 2060-2065.

  • G. Chen, S.A. Fulling, M.O. Scully, and H. Lee, Grover's algorithm for multiobject search in quantum computation, xxx.lanl.gov/abs/quant-ph/9909040 in Directions in Quantum Optics, by H.J. Carmichael, R.J. Glauber and M.O. Scully (eds.), Springer-Verlag, 2000, pp. 165-176.

Paula Cohen

  • P.B. Cohen and U. Zannier, Multiplicative dependence and bounded height, an example, in Proc. Algebraic Number Theory and Diophantine Approximation Conference (Graz, 1998), Walter de Guyter (2000), pp. 93-101.

Andrew Comech

  • A. Comech and S. Cuccagna, Integral operators with two-sided cusp singularities, Internat. Math. Res. Notices (2000), no. 23, 1225-1242.

Prabir Daripa

  • P. Daripa, A computational study of the rising plane Taylor bubble, J. Comp. Phys. 157(1) (2000), 120-142.

  • P. Daripa and L. Borges, A parallel version of a fast algorithm for singular integral transforms, Numer. Algorithms 23(1) (2000), 71-96.

  • P. Daripa, The fastest smooth Taylor bubble, Appl. Numer. Math. 34(4) (2000), 373-379.

  • P. Daripa and D. Palaniappan, Compound droplet in extensional and paraboloidal flows, Phys. Fluids 12(10) (2000), 2377-2385.

  • P. Daripa and R. Dash, Studies of Capillary Ripples in a Sixth-Order Boussinesq Equation Arising in Water Waves, in Mathematical and Numerical Aspects of Wave Propagation (Santiago de Compostela, 2000) SIAM, Philadelphia, PA, 2000, pp. 285-291.

Dante DeBlassie

  • D. DeBlassie, One dimensional scale invariant diffusions, Stochastics and Stochastics Reports 70 (2000), 131-151.

Ronald DeVore

  • R.A. DeVore, H. Wang, J.-G. Liu, and H. Xu, A CFL-free explicit scheme with compression for linear hyperbolic equations, Numerical Treatment of Multiphase Flows in Porous Media (Beijing, 1999) 116-123, Lect. Notes in Phys. 552, Springer, Berlin, 2000.

  • A. Cohen, R.A. DeVore and R. Hochmuth, Restricted nonlinear approximation, Constr. Approx. 16 (2000), no. 1, 85-113.

  • A. Cohen, W. Dahmen and R. DeVore, Multiscale decompositions on bounded domains, Trans. Amer. Math. Soc. 352 (2000), no. 8, 3651-3685.

David C. Dobson

Ronald Douglas

  • R. Douglas, G. Misra, and V. Varughese, On quotient modules – the case of arbitrary multiplicity, J. Funct. Anal. 174 (2000), 364-398.

  • R. Douglas and R. Yang, Operator theory in the Hardy space over the bidisk (I), Integral Equation Operator Theory 38 (2000), 207-221.

Kenneth Dykema

  • K.J. Dykema and F. Radulescu, Compressions of free products of von Neumann algebras, Math. Ann. 316 (2000), 61-82.

  • M. Choda and K.J. Dykema, Purely infinite, simple C*-algebras arising from free product constructions, III, Proc. Amer. Math. Soc. 128 (2000), 3269-3273.

  • K.J. Dykema and M. Rørdam, Projections in free product C*-algebras, II, Math. Z. 234 (2000), 103-113.

  • K.J. Dykema, G. Weiss, and M. Wodzicki, Unitarily invariant trace extensions beyond the trace class, Operator Theory: Adv. Appl. 114, Birkhäuser Verlag, 2000, pp. 59-65.

  • K.J. Dykema, Free products of exact groups, C*-algebras, J. Cuntz and S. Echterhoff (eds.), Springer-Verlag, 2000, pp. 61-70.

Yalchin Efendiev

  • Y. Efendiev, T. Hou, and X. Wu, Convergence of a nonconformal multiscale finite element method, SIAM J. Numer. Anal. 37 (2000), 888-910.

  • Y. Efendiev, L. Durlofsky, and S. Lee, Modeling of subgrid effects in coarse-scale simulations of transport in heterogeneous porous media, WRR 37 (2000), 888-910 .

Tamás Erdélyi

  • T. Erdélyi and P. Borwein, Polynomials and Polynomials Inequalities, Springer, Graduate Texts in Mathematics, 2nd ed., New York, New York, 2000.

  • T. Erdélyi, On the equation a(a+d)(a+2d)(a+3d)=x2, Amer. Math. Monthly 107 (2000), no. 2, 166-169.

  • P. Borwein and T. Erdélyi, Pointwise Remez- and Nikolskii-type inequalities for exponential sums, Math. Ann. 316 (2000), no. 1, 39-60.

  • T. Erdélyi, A. Kroó, and J. Szabados, Markov-Bernstein type inequalities on compact subsets of R, Anal. Math. 26 (2000), 17-34.

  • T. Erdélyi, Markov- and Bernstien-type inequalities for Müntz polynomials and exponential sums in Lp, J. Approx. Theory 104 (2000), 142-152.

  • P. Borwein and T. Erdélyi, Markov-Bernstein type inequalities under Littlewood-type coefficient constraints, Indag. Math. 11(2)(2000), 159-172.

  • T. Erdélyi, The resolution of Saffari's phase problem, C. R. Acad. Sci. Paris Sér. I Math. 331 (2000), 803-808.

Richard Ewing

  • R.E. Ewing, Y. Lin, and J. Wang, A numerical approximation of non-Fickian flows with mixing length growth in porous media, Acta Math. Univ. Comenian. (N.S.) 70 (2000), no. 1, 75-84.

  • R.E. Ewing, R.D. Lazarov, and Y. Lin, Finite volume element approximations of nonlocal in time one-dimensional flows in porous media, Comput. 64 (2000), no. 2, 157-182.

  • R.E. Ewing, H. Wang, D. Liang, S.L. Lyons, and G. Qin, An accurate simulator of compressible flow in porous media with wells, Computational Methods in Surface-Water Systems with Hydrology, Computational Methods in Water Resources Vol. 2, L.R. Bentley, J.F. Sykes, C.A. Brebbia, W.G. Gray, and G.F. Pinder (eds.), Balkema, Rotterdam, 2000, pp. 623-630.

  • R.E. Ewing, Z. Chen, and G. Qin, Analysis of a compositional model for fluid flow in porous media, SIAM J. Appl. Math. 60 (2000), 747-777.

  • R.E. Ewing, R. Helmig, S. Finsterle, and R. Hinkelmann, Modeling of flow and transport processes in the subsurface, Groundwater Updates, K. Soto and Y. Iwasa (eds.), Springer-Verlag, Tokyo, 2000, pp. 477-480.

  • R.E. Ewing, R. Lazarov, T. Lin, and Y. Lin, Mortar finite volume element approximations of second-order elliptic problems, East-West J. Numer. Math. 8(2) (2000), 93-110.

  • R.E. Ewing, R. Lazarov, and Y. Lin, Finite volume element approximations of nonlocal reactive flows in porous media, Numer. Meth. PDEs 16(3) (2000), 285-311.

  • R.E. Ewing, H. Wang, D. Liang, S. Lyons, and G. Qin, An approximation to miscible displacement in porous media with point sources and sinks by an Eulerian-Lagrangian localized adjoint methods and mixed finite methods, SIAM J. Sci. Comput. 22 (2000), 561-581.

  • R.E. Ewing, H. Wang, D. Liang, S.L. Lyons, and G. Qin, An ELLAM-MFEM solution technique for compressible fluid flows in porous media with point sources and sinks, J. Comput. Phys. 159 (2000), 344-376.

  • R.E. Ewing, A. Ibragimov, and R.D. Lazarov, 3-D simulation of the pressure drop along horizontal wells in a bounded reservoir, Proc. 4th Conference on Horizontal Wells Technology SPE, SPE65505 (CD-ROM publication), www.spie.org, (2000).

  • R.E. Ewing, G. Qin, H. Wang, and M. Espedal, Numerical simulation of compositional fluid flow in porous media, Proc. International Workshop on Computational Physics, Z. Chen, R.E. Ewing, and Z.-C. Shi (eds.), Lect. Notes in Physics, Vol. 552, Springer-Verlag, 2000, pp. 50-68.

  • R.E. Ewing, P. Bastian, Z. Chen, R. Helmig, H. Kakobs, and V. Reichenberger, Numerical simulation of multiphase flow in fractured porous media, in Proc. International Workshop on Computational Physics Z. Chen, R.E. Ewing, and Z.-C. Shi (eds.), Lect. Notes in Physics Vol. 552, Springer-Verlag, New York, 2000, pp. 80-92.

  • R.E. Ewing, O. Iliev, and R. Lazarov, On the discretization of interface problems with perfect and imperfect contact, in Proc. International Workshop on Computational Physics Z. Chen, R.E. Ewing, and Z.-C. Shi (eds.), Lect. Notes in Physics Vol. 552, Springer-Verlag, New York, 2000, pp. 93-103.

  • R.E. Ewing, H. Chen, S.L. Lyons, G. Qin, T. Sun, and D.P. Yale, A numerical algorithm for single phase fluid flow in elastic porous media, in Proc. International Workshop on Computational Physics Z. Chen, R.E. Ewing, and Z.-C. Shi (eds.), Lect. Notes in Physics Vol. 552, Springer-Verlag, New York, 2000, pp. 232-243.

Alexander Felshtyn

  • A. Felshtyn, Nielsen zeta function, 3-manifolds, and asymptotic expansions in Nielsen theory, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 266 (2000), Teor. Predst. Din. Sist. Komb. i Algoritm. Metody. 5, 312-329; translation in J. Math. Sci. (N.Y.) 113 (2003), no. 5, 718-727.

  • A. Felshtyn, Dynamical zeta functions, Nielsen theory and Reidemeister torsion, Mem. Amer. Math. Soc. 147 (2000), no. 699, xii+146 pp.

Ciprian Foias

  • C. Foias, M.S. Jolly, and O.P. Manley, Limiting behavior for an iterated viscosity, M2AN Math. Model. Numer. Anal. 34 (2000), 353-376.

  • C. Foias and J. Ewing, An interesting serendipitous real number, finite versus infinite, Discrete Math. Theoret. Comput. Sci., Springer Verlag, 2000, pp. 119-126.

Stephen A. Fulling

  • S.A. Fulling, E.V. Gorbar, and C.T. Romero, Spectral Riesz-Cesaro means: How the square root function helps us to see around the world, Mathematical Physics and Quantum Field Theory, Electron. J. Diff. Eqs., Conf. 04 2000, pp. 87-101.

  • S.A. Fulling, Graph and group classifications of terms in adiabatic and semiclassical expansions, Ann. Comb. 4 (2000), 307-316.

  • G. Chen, S.A. Fulling, H. Lee, and M.O. Scully, Grover's algorithm for multiobject search in quantum computing, in Directions in Quantum Optics (memorial volume for Daniel Walls, including Proc. Workshop on Quantum Optics, Jackson, Wyoming, 1999), H. Carmichael, R. Glauber, and M. Scully (eds.), Springer, Berlin, 2000, pp. 165-176.

  • S.A. Fulling, Related rates collide with vectors, College Math. J. 31 (2000), 116-119.

  • S.A. Fulling, On Teleportation [letter to the editor], Harvard Mag. 102 (March-April 2000), no. 4, 104.

Luis Garcia-Puente

  • L.D. García-Puente, Gröbner bases associated with finite modules, (Spanish) Miscelánea Mat. 30 (2000), 65-70.

Sue Geller

  • S. Geller, A. Maloo, D. Patil, and L.R., Kahler differentials of affine monomial curves, Beitrage Algebra Geom. 41 (2000), 69-84.

  • J.N. Franks, H.W. Boothe, L. Taylor, S. Geller, G.L. Carroll, V. Cracas, and D.M. Boothe, Evaluation of transdermal fentanyl for analgesia in cats undergoing onychectomy, J. Amer. Vet. Med. Assoc. 217 (2000), 1013-1020.

  • D. Hulse, K. Ferry, A. Fawcett, D. Gentry, W. Hyman, S. Geller, and M. Slater, Effect of Intramedullary Pin Size on reducing Bone Plate Strain, Vet. Comparative Orthopaedics Traumatology 13 (2000), 185-190.

Rostislav Grigorchuk

  • L. Bartholdi and R.I. Grigorchuk, Lie method in growth of groups and groups of finite width, London Math. Soc. Lect. Notes Ser. 275 (2000), 1-27.

  • R.I. Grigorchuk, W.N. Herfort, and P.A. Zalesskii, The profinite completion of certain torsion p-groups, in Algebra, Proc. International Algebraic Conference on the Occasion of the 90th Birthday of A.G. Kurosh, Moscow, Y. Bahturin and W. de Gruyter (eds.), 2000, pp. 113-123.

  • R.I. Grigorchuk and V.V. Nekrashevich, The group of asynchronous automata and rational homeomorphisms of the Cantor set, Math. Notes 67 (2000), no. 5, 852-858.

  • R.I. Grigorchuk, Branch groups, Math. Notes 67 (2000), no. 5-6, 718-723.

  • L. Bartholdi and R.I. Grigorchuk, On the spectrum of Hecke type operators related to some fractal groups, Proc. Steklov Inst. Math. 231 (2000), 1-41.

  • R.I. Grigorchuk, V.V. Nekrashevich, and V.I. Sushshanskii, Automata, dynamical systems and infinite groups, Proc. Steklov Inst. Math. 231 (2000), 134-214.

  • R.I. Grigorchuk, Ergodic theorem for actions of free semigroup, Proc. Steklov Inst. Math. 231 (2000), 113-127.

  • R.I. Grigorchuk and J.S. Wilson, The conjugacy problem for certain branch groups, Proc. Steklov Inst. Math. 231 (2000), 215-230.

  • L. Bartholdi and R.I. Grigorchuk, Spectra of noncommutative dynamical systems and graphs related to fractal groups, C. R. Acad. Sci. Paris 331 (2000), 429-434.

  • R.I. Grigorchuk, P. Linnell, T. Schick, and A. Zuk, On a Question of Atiyah, C. R. Acad. Sci. Paris Sér. I Math. 331 (2000), 662-668.

Jean-Luc Guermond

  • J.-L. Guermond and L. Quartapelle, A projection FEM for variable density incompressible flows, J. Comput. Phys. 165 (2000), no. 1, 167-188.

  • J.-L. Guermond and L. Quartapelle, Weak approximation of the ψ-ω equations with explicit viscous diffusion, Math. Models Methods Appl. Sci. 10 (2000), no. 1, 85-98.

  • J.-L. Guermond, L. Quartapelle, and J. Zhu, On a 2D vector Poisson problem with apparently mutually exclusive scalar boundary conditions, M2AN Math. Model. Numer. Anal. 34 (2000), no. 1, 183-200.

  • Y. Achdou and J.-L. Guermond, Convergence analysis of a finite element projection/Lagrange-Galerkin method for the incompressible Navier-Stokes equations, SIAM J. Numer. Anal. 37 (2000), no. 3, 799-826.

Robert Gustafson

  • R. Gustafson and M. Rakha, q-Beta integrals and multivariate basic hypergeometric series associated to root systems of type Am, Ann. Comb. 4 (2000), 347-373.

Jonathan Harrison

  • J.M. Harrison and J.M. Robbins, A group-theoretic approach to constructions of non-relativistic spin-statistics, in Spin-Statistics Connection and Commutation Relations, R.C. Hilborn and G.M. Tino (eds.), AIP (2000), pp. 67-71.

D. Joe Hartfiel

  • D.J. Hartfiel, Difference equations in a general (topological semigroup) setting, Linear Algebra Appl. 305 (2000), 173-185.

  • A. Buxkemper and D.J. Hartfiel, Elaboration in technical areas, Internat. J. Math. Ed. Sci. Tech. 31 (2000), 26-37.

Doug Hensley

  • D. Hensley, The statistics of the continued fraction digit sum, Pacific J. Math. 192 (2000), no. 1, 103-120.

  • Some pictures to go with the paper listed above. Histograms 1, and 2 for the sum of the first 100 digits of a random real number from the interval [0,1] using from 10000 to 100000 trials. Plots of the stable probability density function φ(x) and its first two derivatives. The Mathematica that drew the histograms.

Peter Howard

  • P. Howard and K. Zumbrun, Pointwise estimates and stability for dispersive—diffusive shock waves, Arch. Rat. Mech. Anal. 155 (2000), 85-169.

Akif Ibragimov

  • A.I. Ibragimov and M.N. Baganova, Study of transient flow filtration towards a single horizontal well, in book: Fundamental Bases of New Technologies in Oil and Gas Industry, Moscow, Nauka, 2000, pp. 192-198.

  • A. Ibragimov and P. Valko, On productivity index in pseudo-steady and boundary dominated flow regimes, J. Petro. Sci. Engrg. (2000).

  • R.E. Ewing, A.I. Ibragimov, and R. Lazarov, 3-D simulation of the pressure drop along horizontal well in a bounded reservoir, paper SPE 65505, presented at the 4th International Conferences on Horizontal Well Technology (Calgary, Alberta, Canada, November 6-8, 2000).

  • A.I. Ibragimov, M.P. Levin, and L.V. Sidorov, Numerical investigation of high permeability thin layers influence on water filling of horizontal wells by quasi-characteristics scheme, Comput. Fluid Dynamic J. 9 (2000), no. 2, July.

  • A.I. Ibragimov, M.V. Levin, and L.V. Sidorov, Numerical investigation of two-phase fluid afflux to horizontal well by quasi-characteristics scheme, Comput. Fluid Dynamic J. 8 (2000), no. 4, 556-560.

  • A.I. Ibragimov, M.V. Levin, and L.V. Sidorov, Application of quasi-characteristic scheme to numerical simulation of oil afflux to horizontal well, 8th International Conference on Hyperbolic Problem, Magderburg, Germany, (2000), Febuary 28-March 3, Book of Abstract, pp. 214-217.

William B. Johnson

  • W.B. Johnson, J. Lindenstrauss, D. Preiss, and G. Schechtman, Uniform quotient mappings of the plane, Michigan J. Math. 47 (2000), 15-31.

  • W.B. Johnson, M. Girardi, and S.J. Dilworth, Geometry of Banach spaces and biorthogonal systems, Studia Math. 140(3) (2000), 243-271.

Thomas Kiffe

  • T. Kiffe and J. Matis, Stochastic Population Models: A Compartmental Perspective, Lecture Notes in Statistics, Vol. 145, Springer, New York, 2000.

Andreas Klappenecker

  • A. Klappenecker, M. Holschneider, and K. Flornes, Two-channel perfect reconstruction FIR filter banks over commutative rings, Appl. Comput. Harmonic Anal. 8 (2000), 113-121.

Leonid Kovalev

  • L.V. Kovalev, On the inner radii of symmetric nonoverlapping domains, (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. (2000), no. 6, 80-81; translation in Russian Math. (Iz. VUZ) 44 (2000), no. 6, 77-78.

  • L.V. Kovalev, Estimates for the conformal radius and distortion theorem for univalent functions, (Russian) Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 263 (2000), Anal. Teor. Chisel i Teor. Funkts. 16, 141-156, 239-240; translation in J. Math. Sci. (New York) 110 (2002), no. 6, 3111-3120.

Peter Kuchment

  • B. Fridman, K. Lancaster, P. Kuchment, D. Ma, M. Mogilevsky, S. Lissianoi, V. Papanicolaou, and I. Ponomarev, Numerical harmonic analysis on the hyperbolic plane, Appl. Anal. 76 (2000), 351-362.

  • P. Kuchment and B. Vainberg, On absence of embedded eigenvalues for Schrödinger operators with perturbed periodic potentials, Comm. Partial Differential Equations 25 (2000), 1809-1826.

  • L. Ehrenpreis, P. Kuchment, and A. Panchenko, Attenuated Radon transform and F. John's equation. I. Range conditions, in Contemporary Mathematics Volume "Analysis, Geometry, Number Theory: The Mathematics of Leon Ehrenpreis", E.L. Grinberg, S. Berhanu, M. Knopp, G. Mendoza, and E.T. Quinto (eds.), AMS, 2000. refereed.

David Larson

  • D. Larson and D. Han, Frames, bases, and group representations, AMS Memoirs 147 (2000), no. 697, 94 pp.

  • D. Larson, J. Gabardo, and D. Han, Gabor frames and operator algebras, SPIE Proc. Wavelet Applications in Signal and Image Processing VIII Vol. 4119, 2000, pp. 337-345.

  • D. Larson and M. Frank, Frames for Hilbert C*-modules, SPIE Proc. Wavelet Applications in Signal and Image Processing VIII Vol. 4119, 2000, pp. 325-336.

Raytcho D. Lazarov

Josef Málek

  • J. Málek, J. Nečas and M. Rokyta (eds.), Advances in mathematical fluid mechanics, papers from the 6th International School on Mathematical Theory in Fluid Mechanics ( Paseky, September 19-26) 1999, Springer-Verlag, Berlin, 2000, x+222 pp.

  • J. Málek and D. Pražák, Finite fractal dimension of the global attractor for a class of non-Newtonian fluids, Appl. Math. Lett. 13 (2000), no. 1, 105-110.

  • J. Frehse, J. Málek, and M. Steinhauer, On existence results for fluids with shear dependent viscosity—unsteady flows, Partial Differential Equations (Praha, 1998) Chapman & Hall/CRC Res. Notes Math., 406, Chapman & Hall/CRC, Boca Raton, FL, 2000, pp. 121-129.

Laura Matusevich

  • L.F. Matusevich, Rational summation of rational functions, Beiträge Algebra Geom. 41 (2000), no. 2, 531-536.

Carlton J. Maxson

  • C.J. Maxson and J.H. Meyer, Forcing linearity numbers, J. Algebra 223 (2000), 190-207.

  • C.J. Maxson and A. Kreuzer, Forcing linearity numbers for modules over PID's, Geom. Dedicata 83 (2000), 351-364.

Francis Narcowich

  • T.H. O'Donnell, F.J. Narcowich, H.L. Southall, and J.D. Ward, Multiple source direction finding with reduced training and increased generalization, in Proc. Millenium Conference on Antennas and Propagation, (Davos, Switzerland, April 9-14, 2000), ESA Publication SP-444.

  • H.N. Mhaskar, F.J. Narcowich, and J.D. Ward, Quasi-interpolation in shift invariant spaces, J. Math. Anal. Appl. 251 (2000), 356-363.

  • H.N. Mhaskar, F.J. Narcowich, J. Prestin, and J.D. Ward, Polynomial frames on the sphere, Adv. Comput. Math. 13 (2000), 387-403.

Volodymyr Nekrashevych

  • R.I. Grigorchuk, V.V. Nekrashevich, and V.I. Sushchanskii, Automata, dynamical systems, and groups, (Russian) Tr. Mat. Inst. Steklova 231 (2000), Din. Sist., Avtom. i Beskon. Gruppy, 134-214; translation in Proc. Steklov Inst. Math. 231 (2000), no. 4, 128-203.

  • O. Macedonska, V. Nekrashevych, and V. Sushchansky, Commensurators of groups and reversible automata, Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki (2000), no. 12, 36-39.

  • R.I. Grigorchuk and V.V. Nekrashevich, The group of asynchronous automata and rational homeomorphisms of the Cantor set, (Russian) Mat. Zametki 67 (2000), no. 5, 680-685; translation in Math. Notes 67 (2000), no. 5-6, 577-581.

  • V.V. Nekrashevych and V.I. Sushchansky, On confinal dynamics of rooted tree automorphisms, Computational and Geometric Aspects of Modern Algebra (Edinburgh, 1998) 229-245, London Math. Soc. Lecture Note Ser. 275, Cambridge Univ. Press, Cambridge, 2000.

  • V.V. Nekrashevych, Stabilizers of transitive actions on locally finite graphs, Internat. J. Algebra Comput. 10 (2000), no. 5, 591-602.

  • V.V. Nekrashevych and V.I. Sushchansky, Some problems on groups of finitely automatic permutations, Mat. Stud. 13 (2000), no. 1, 93-96.

Zhauhu Nie

  • Z. Nie, Matrix equation and its application to classification of finite-dimensional estimation algebras, (English. English summary) Progr. Natur. Sci. (English Ed.) 10 (2000), no. 8, 594-600.

Grigoris Paouris

  • G. Paouris, On the isotropic constant of non-symmetric convex bodies, Geometric Aspects of Functional Analysis 239-243, Lect. Notes in Math. 1745, Springer, Berlin, 2000.

Matthew Papanikolas

  • M.A. Papanikolas, Canonical heights on elliptic curves in characteristic p, Compos. Math. 122 (2000), no. 3, 299-313.

Scott T. Parsell

Joseph Pasciak

  • J.E. Pasciak, D.C. Dobson, and J. Gopalakrishnan, An efficient method for band structure calculations in 3D photonic crystals, J. Comput. Phys. 161 (2000), 668-679.

  • J.E. Pasciak and J. Gopalakrishnan, Multigrid for the mortar finite element method, SIAM J. Numer. Anal. 37 (2000), 1029-1052.

  • R.D. Lazarov, J.E. Pasciak, and S.Z. Tomov, Error control, local grid refinement, and efficient solution algorithms for singularly perturbed problems, Technical Report ISC-99-04, Texas A&M University, Analytical and Numerical Methods for Singularly Perturbed Problems, L.G. Vulkov, J.J.H. Miller and G.I. Shishkin (eds.), Nuova Science Publishing House, 2000, pp. 71-82.

Carl Pearcy

  • I.B. Jung, E. Ko, and C. Pearcy, Aluthge transforms of operators, Integral Equations and Operator Theory 37 (2000), 437-448.

Guergana Petrova

  • B. Bojanov and G. Petrova, Uniqueness of the Gaussian quadrature for a ball, J. Approx. Theory 104 (2000), no. 1, 21-44.

  • A. Kurganov and G. Petrova, Central schemes and contact discontinuities, M2NA 34 (2000), no. 6, 1259-1275.

Gilles Pisier

  • G. Pisier, On a question of Niels Gronbaek, Math. Proc. R. Ir. Acad. 100A (2000), 55-58.

  • G. Pisier, The similarity degree of an operator algebra II, Math. Zeit. 234 (2000), 53-81.

  • G. Pisier, An inequality for p-orthogonal sums in non-commutative Lp-spaces, Illinois J. Math. 44 (2000), 901-923.

Jon Pitts

Alexei Poltoratski

J. Maurice Rojas

William Rundell

  • W. Rundell and F. Hettlich, A second degree method for nonlinear inverse problems, SIAM J. Numer. Anal. 37 (2000), no. 2, 587-620.

Henry Schenck

  • H. Schenck, A rank two vector bundle associated to a three arrangement, and its Chern polynomial, Adv. Math. 149 (2000), 214-229.

Jane F. Schielack

  • J.F. Schielack, D. Chancellor, and K. Childs, Designing questions to encourage children's mathematical thinking, Teaching Children Math. 6 (2000), 398-402.

Thomas B. Schlumprecht

N. Sivakumar

  • S.D. Riemenschneider and N. Sivakumar, Cardinal interpolation by Gaussian functions: a survey, J. Anal. 8 (2000), 157-178.

Kirby Smith

  • K.C. Smith, Normal lines and curvature, Coll. Math. J. 31 (2000), 54-56.

  • K.C. Smith and L. van Wyk, Matrix near-rings over centralizer near-rings, Algebra Colloq. 7 (2000), 5-16.

  • D. Sanchez and K.C. Smith, Normal lines and the evolute curve, Coll. Math. J. 31 (2000), 397-403.

  • K.C. Smith, Matrix near-rings, Near-ring Newsletter 21 (July 2000), 9-16.

Roger R. Smith

Frank Sottile

  • Formal power series and algebraic combinatorics, papers from the 10th Conference, (Toronto, ON, June 15-19, 1998) N. Bergeron, I. Goulden, and F. Sottile (eds.), Discrete Math. 225 (2000), no. 1-3, North-Holland Publishing Co., Amsterdam, 2000, pp. i-viii and 1-231.

  • T. Roby, F. Sottile, J. Stroomer, and J. West, Jeux de tableaux, Formal Power Series and Algebraic Combinatorics (Moscow, 2000) 332-343, Springer, Berlin, 2000.

  • F. Sottile, Some real and unreal enumerative geometry for flag manifolds, Dedicated to William Fulton on the occasion of his 60th birthday, Michigan Math. J. 48 (2000), 573-592.

  • N. Bergeron, S. Mykytiuk, F. Sottile, and S. van Willigenburg, Noncommutative Pieri operators on posets, in memory of Gian-Carlo Rota, J. Combin. Theory Ser. A 91 (2000), no. 1-2, 84-11.

  • F. Sottile, Real Schubert calculus: polynomial systems and a conjecture of Shapiro and Shapiro, Experiment. Math. 9 (2000), no. 2, 161-182.

  • F. Sottile, Real rational curves in Grassmannians, J. Amer. Math. Soc. 13 (2000), no. 2, 333-341.

Peter F. Stiller

  • P.F. Stiller, Algebra, Microsoft Encarta 2000, Microsoft Corporation, (2000), 42 pages, to appear.

Xingping Sun

  • X. Sun, Scattered cardinal Hermite interpolation by positive definite functions, Approximation in Mathematics (Memphis, TN, 1997) Comput. Math. Appl. 40 (2000), no. 1, 165-169.

Panayot Vassilevski

  • S.I. Petrova, L. Tobiska, and P.S. Vassilevski, Multigrid methods based on matrix-dependent coarse spaces for nonconforming streamline-diffusion finite element discretization of convection-diffusion problems, East-West J. Numer. Math. 8 (2000), no. 3, 223-242.

  • V. John, G. Matthies, T.I. Mitkova, L. Tobiska, and P.S. Vassilevski, A comparison of three solvers for the incompressible Navier-Stokes equations, Large-scale Scientific Computations of Engineering and Environmental Problems, II (Sozopol, 1999) 215-222, Notes Numer. Fluid Mech. 73, Vieweg, Braunschweig, 2000.

  • R.D. Lazarov, J.E. Pasciak, and P.S. Vassilevski, Mixed finite element methods for elliptic problems on non-matching grids, Large-scale Scientific Computations of Engineering and Environmental Problems, II (Sozopol, 1999) 25-35, Notes Numer. Fluid Mech. 73, Vieweg, Braunschweig, 2000.

  • J.H. Bramble, J.E. Pasciak, and P.S. Vassilevski, Computational scales of Sobolev norms with application to preconditioning, Math. Comp. 69 (2000), no. 230, 463-480.

Thomas I. Vogel

Joseph D. Ward

  • T.H. O'Donnell, F.J. Narcowich, H.L. Southall, and J.D. Ward, Multiple source direction finding with reduced training and increased generalization, in Proc. Millenium Conference on Antennas and Propagation (Davos, Switzerland, April 9-14, 2000) ESA Publication SP-444.

  • H.N. Mhaskar, F.J. Narcowich, and J.D. Ward, Quasi-interpolation in shift-invariant spaces, J. Math. Anal. Appli. 251 (2000), 356-363.

  • H.N. Mhaskar, F.J. Narcowich, and J.D. Ward, Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature, Math. Comp. 70 (2000), 1113-1130.

  • H.N. Mhaskar, F.J. Narcowich, J. Prestin, and J.D. Ward, Polynomial Frames on the sphere, Adv. Comput. Math. 13 (2000), 387-403.

Sarah Witherspoon

  • S.F. Siegel and S.J. Witherspoon, The Hochschild cohomology ring of a cyclic block, Proc. Amer. Math. Soc. 128 (2000), no. 5, 1263-1268.

  • S.J. Witherspoon, A module-theoretic approach to Clifford theory for blocks, Proc. Amer. Math. Soc. 128 (2000), no. 3, 661-670.

Catherine Yan

  • C. Yan, Arguesian identities in the congruence variety of abelian groups, Adv. Math. 150 (2000), 36-79.

  • H. Peng and C.H. Yan, On discrepancy of strongly unimodular matrices, Discrete Math. 219 (2000), 223-333.

  • C. Yan and M. Mainetti, Geometric identities in lattice theory, J. Combin. Theory Ser. A 91 (2000), nos. 1/2, 411-450.

  • C.H. Yan, On the enumeration of generalized parking functions, Proc. 31st Southeastern International Conference on Combinatorics, Graph Theory, and Computing (Boca Raton, FL, April 2000) Congr. Numer. 147 (2000), pp. 201-209,

Philip Yasskin

  • P. Yasskin, G.D. Allen, M. Stecher, and M. Rahe, Internet based drills and quizzes, Proc. 11th Annual International Conference on Technology in Collegiate Mathematics (New Orleans, Nov 19-22, 1998) Addison-Wesley, 2000.

  • P. Yasskin, G.D. Allen, M. Stecher, and M. Rahe, WebCalC I, Proc. 11th Annual International Conference on Technology in Collegiate Mathematics (New Orleans, Nov 19-22, 1998) Addison-Wesley, 2000.

Igor Zelenko

  • A.A. Agrachev and I. Zelenko, Principal invariants of Jacobi curves, Nonlinear Control in the Year 2000 (Paris), Vol. 1, 9-21, Lect. Notes in Control and Inform. Sci. 258, Springer, London, 2001.

  • I. Zelenko, Erratum: "Nonregular abnormal extremals of 2-distribution: existence, second variation, and rigidity," J. Dynam. Control Syst. 6 (2000), no. 1, 158.

Jianxin Zhou

  • J. Zhou and Y. Li, Convergence results of a local minimax method for finding multiple critical points, SIAM Sci. Comp. 24 (2002), 865-885.

  • J. Zhou, G. Chen, and S.B. Hsu, Nonisotropic spatiotemporal chaotic vibration of the wave equation due to mixing energy transport and a van der Pol boundary condition, Int. J. Bifur. Chaos 12 (2002), 353-559.

Mohammed Ziane

  • M. Ziane, On a certain renormalization group method, J. Math. Phys. 41 (2000), 3290-3299.

  • M. Ziane, T. Bewley, and R. Temam, A general framework for robust control in fluid mechanics, Phys. D 138 (2000), 360-392.

Joel Zinn


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