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Mathematics

TAMU Math Publications 2008

Wael Abushammala

  • W. Abushammala and A. Torchinsky, Spaces between H1 and L1, Proc. Amer. Math. Soc. 136 (2008), no. 5, 1743-1748.

Marcelo Aguiar

  • M. Aguiar and R. Orellana, The Hopf algebra of uniform block permutations, J. Algebraic Combin. 28 (2008), no. 1, 115-138.

Michael Anshelevich

  • M. Anshelevich, Orthogonal polynomials with a resolvent-type generating function, Trans. Amer. Math. Soc. 360 (2008), 4125-4143.

  • M. Anshelevich, Monic non-commutative orthogonal polynomials, Proc. Amer. Math. Soc. 136 (2008), 2395-2405.

Wolfgang Bangerth

  • A. Joshi, W. Bangerth, and Eva Sevick, Non-contact fluorescence optical tomography with adaptive finite element methods in Mathematical Methods in Biomedical Imaging and Intensity-Modulated Radiation Therapy (IMRT), Y. Censor, M. Jiang and A.K. Louis (eds.), pp. 185-200, Birkhäuser, 2008.

  • M. Bartels, A. Joshi, J.C. Rasmussen, E.M. Sevick-Muraca, and W. Bangerth, Post-image acquisition excitation light mitigation in NIR fluorescent tomography, Proc. IEEE International Symposium on Biomedical Imaging, Arlington, VA, 2008.

  • W. Bangerth and A. Joshi, Adaptive finite element methods for the solution of inverse problems in optical tomography, Inverse Problems 24 (2008), pp. 1-22.

  • W. Bangerth, A framework for the adaptive finite element solution of large inverse problems, SIAM J. Scientific Computing 30 (2008), pp. 2965-2989.

  • W. Bangerth and A. Joshi, Nonlinear inversion for optical tomography, Proc. CT2008 - Tomography Confluence: An International Conference on the Applications of Computerized Tomography, P. Munshi (ed.), American Institute of Physics, Kanpur, India, February 2008.

Gregory Berkolaiko

  • G. Berkolaiko, J.M. Harrison, and M. Novaes, Full counting statistics of chaotic cavities from classical action correlations, J. Phys. A: Math. Theor. 41 365102 (2008).

  • G. Berkolaiko, Two constructions of quantum graphs and two types of spectral statistics, in Analysis on Graphs and its Applications, P. Exner, J. Keating, P. Kuchment, T. Sunada, and A. Teplyaev (eds.), Proc. Symposia in Pure Mathematics, 77 (2008), pp. 315-331.

  • J.A.D. Appleby, G. Berkolaiko, and A. Rodkina, On local stability for a nonlinear difference equation with a non-hyperbolic equilibrium and fading stochastic perturbation, J. Difference Equations Appl. 14 (2008), 923-951.

Al Boggess

  • A. Boggess, R. Dwilewicz, and D. Jupiter, CR runge sets on hypersurface graphs, J. Geom. Anal. 18 (2008), 980-1001.

Andrea Bonito

  • A. Bonito, A. Caboussat, M. Picasso, and J. Rappaz, A numerical method for fluid flows with complex free surfaces, "Partial Differential Equations: Modelling and Numerical Simulation," in Computational Methods in Applied Sciences, Springer Series in Scientific Computations, 2008, pp. 187-208.

  • A. Bonito and E. Burman, A continuous interior penalty method for viscoelastic flows, SIAM J. Sci. Comput. 30 (2008), no. 3, 1156-1177.

Ada Boralevi

  • A. Boralevi and F. Prantil, Effective results on Picard bundles via M-regularity, Le Matematiche Vol. LXIII, Fasc. I. (2008).

Lewis Bowen

  • L. Bowen, J.A. De Loera, M. Develin, and F. Santos, Erratum to: "The Gromov norm of the product of two surfaces" [Topology 44 (2005), no. 2, 321-339; MR2114710], Topology 47 (2008), no. 6, 471-472.

Goong Chen

  • G. Chen, W.-P. Zhong, L. Yi, R.-H. Xie, and M. Belic, Robust three-dimensional spatial soliton clusters in strongly nonlocal media, J. Phys. B: At. Mol. Opt. Phys. 41 025402 (6 pages), 2008.

  • G. Chen, W.-P. Zhong, L. Yi, Z.-P. Yang, R.-H. Xie, and M. Belic, Collisions of two spatial solitons in inhomogeneous nonlinear media, Comm. Theo. Phys. (Chinese Phys. Soc.) 50 (2008), 749-752.

  • G. Chen, W-P. Zhong, R.-H. Xie, M. Belic, N. Petrovic, and L. Yi, Exact spatial soliton solutions of the two dimensional generalized nonlinear Schrödinger equation with distributed coefficients, Phys. Rev. A 78 (2008), 023821 (6 pages).

  • G. Chen, M. Belic, N. Petrovic, W.-P. Zhong, and R.-H. Xie, Light bullet solutions to the generalized (3+1)-dimensional nonlinear Schrödinger equation, Phys. Rev. Lett. 101 (2008), 123904 (4 pages).

  • G. Chen, W-P. Zhong, M. Belic, and R-H. Xie, Two-dimensional Whittaker solitons in nonlocal nonlinear media, Phys. Rev. A 78 (2008), 013826 (7 pages).

Andrew Comech

  • A. Comech and A. Komech, Global attraction to solitary waves in models based on the Klein-Gordon equation, SIGMA 4 (2008), 010, 1-23, Proc. Seventh International Conference "Symmetry in Nonlinear Mathematical Physics" (June 24-30, 2007; Institute of Mathematics, Kyiv, Ukraine).

Prabir Daripa

  • P. Daripa and H.J. Hwang, Nonlinear Saffman-Taylor instability for Hele-Shaw flows, J. Differential Equations 245(7)i (2008), 1819-1837.

  • P. Daripa and G. Pasa, On capillary slowdown of viscous fingering in immiscible displacement in porous media, Trans. Porous Media 75(1) (2008), 1-16.

  • P. Daripa, Studies of stability in three-layer Hele-Shaw flows, Phys. Fluids 20(11) Article No. 112101 (2008), 11 pages.

  • P. Daripa, Hydrodynamic stability of multi-layer Hele-Shaw flows, J. Stat. Mech. Article No. P12005 (2008), 32 pages.

  • P. Daripa, Hydrodynamic stability in Hele-Shaw and porous media flows, Bull. Amer. Phys. Soc. 52(17) (2008).

Dante DeBlassie

  • D. DeBlassie, The exit place of Brownian motion in the complement of a horn, Electron. J. Probab. 13 (2008), 1068-1095.

Ronald DeVore

  • R.A. DeVore, G. Petrova, and P. Wojtaszczyk, Anisotropic smoothness spaces via level sets, Comm. Pure Appl. Math. 61 (2008), no. 9, 1264-1297.

  • R. Baraniuk, M. Davenport, R.A. DeVore, and M. Waken, A simple proof of the restricted isometry property for radom matrices, Constr. Approx. 28 (2008), 253-263.

  • A.R. Barron, A. Cohen, W. Dahmen, and R.A. DeVore, Approximation and learning by greedy algorithms, Ann. Statist. 36 (2008), no. 1, 64-94.

Veselin Dobrev

  • V. Dobrev, R. Lazarov, and L. Zikatanov, Preconditioning of symmetric interior penalty discontinuous Galerkin FEM for second order elliptic problems, in Domain Decomposition Methods in Science and Engineering XVII, Lecture Notes in Computational Science and Engineering, Vol. 60, U. Langer, et al. (eds.), Springer-Verlag, Berlin, Heidelberg, 2008, pp. 33-44.

Pandelis Dodos

  • P. Dodos and V. Kanellopoulos, On filling families of finite subsets of the Cantor set, Math. Proc. Cambridge Philos. Soc. 145 (2008), no. 1, 165-175.

  • S.A. Argyros, P. Dodos, and V. Kanellopoulos, Unconditional families in Banach spaces, Math. Ann. 341 (2008), no. 1, 15-38.

  • P. Dodos, A strong boundedness result for separable Rosenthal compacta, Fund. Math. 198 (2008), no. 2, 177-189.

  • S.A. Argyros, P. Dodos, and V. Kanellopoulos, A classification of separable Rosenthal compacta and its applications, Dissertationes Math. (Rozprawy Mat.) 449 (2008), 52 pp.

Ronald Douglas

  • R.G. Douglas and G. Misra, On quasi-free Hilbert modules, Trans. Amer. Math. Soc. 360 (2008), no. 4, 2229-2264.

  • R.G. Douglas, Essentially reductive Hilbert modules II, in Hot Topics in Operator Theory Conference (2005, Timisoara), Theta Foundation, 2008, pp. 79-88.

  • R.G. Douglas and J. Sarkar, On unitarily equivalent submodules, Indiana Univ. Math. J. 57 (2008), 2729-2743.

Kenneth J. Dykema

  • K. Dykema, N. Brown, and K. Jung, Free entropy dimension in amalgamated free products, Proc. London Math. Soc. 97 (2008), 339-367.

  • K. Dykema, A. Sinclair, R.R. Smith, and S. White, Generators of II1 factors, Oper. Matrices 2 (2008), 555-582.

  • B. Collins and K. Dykema, A linearization of Connes' embedding problem, New York J. Math. 14 (2008), 617-641.

Yalchin Efendiev

  • J.E. Aarnes and Y. Efendiev, Mixed multiscale finite element methods for stochastic porous media flows, SIAM Sci. Comp. 30 (2008), no. 5, 2319-2339.

  • J.E. Aarnes, Y. Efendiev, and L. Jiang, Mixed multiscale finite element methods using limited global information, Multiscale Modelling and Simulation 7 (2008), no 2, 655-676.

  • J.E. Aarnes and Y. Efendiev, A multiscale method for modeling transport in porous media on unstructured corner-point grids, J. Algorithms Comput. Tech. 2 (2008), no. 2, 299-318.

  • X. Ma, M. Al-Harbi, A. Datta-Gupta, and Y. Efendiev, Multistage sampling approach to quantifying uncertainty during history matching geological models, SPE J. 13(10) (March 2008), 77-87.

  • P. Dostert, Y. Efendiev, and T. Hou, Multiscale finite elemenet methods for stochastic porous media flow equations and application to uncertainty quantification, CMAME 2008.

  • X. Ma, A. Datta-Gupta, and Y. Efendiev, Multistage MCMC method with non-parametric error models for efficient uncertainty quantification in history matching, SPE 115911 presented at the 2008 SPE Annual Technical Conference and Exhibition held in Denver, Colorado, USA, September 21-24, 2008.

  • Y. Efendiev, A. Datta-Gupta, X. Ma, and B. Mallick, A modified MCMC using streamline approach, Math. Geology 40 (2008), no. 2, 213-232.

Tamás Erdélyi

  • P. Borwein, T. Erdélyi, R. Ferguson, and R. Lockhart, On the zeros of cosine polynomials: solution to a problem of Littlewood, Ann. of Math. (2) 167 (2008), no. 3, 1109-1117.

  • P. Borwein, T. Erdélyi, and F. Littmann, Polynomials with coefficients from a finite set, Trans. Amer. Math. Soc. 360 (2008), no. 10, 5145-5154.

  • T. Erdélyi, Newman's inequality for increasing exponential sums, in Number Theory and Polynomials, 127-141, Series: London Mathematical Society Lecture Note Series, no. 352, J. McKee and Ch. Smyth (eds.), Cambridge University Press, Cambridge, 2008.

  • T. Erdélyi, An improvement of the Erdös-Turén theorem on the distribution of zeros of polynomials, C. R. Math. Acad. Sci. Paris 346 (2008), no. 5-6, 267-270.

Junsheng Fang

  • J. Fang, D. Hadwin, E. Nordgren, and J. Shen, Tracial gauge norms on finite von Neumann algebras satisfying the weak Dixmier property, J. Funct. Anal. 255 (2008), no. 1, 142-183.

Ciprian Foias

  • C. Foias and M.S. Jolly, Erratum: "Kraichnan turbulence via finite time averages" [Comm. Math. Phys. 255 (2005), no. 2, 329-361; MR2129949] by Foias, Jolly, and O.P. Manley, Comm. Math. Phys. 277 (2008), no. 1, 287.

  • C. Foias, S.M. Hamid, C. Onica, and C. Pearcy, Inequalities for some positive functionals on operator algebras, Acta Sci. Math. (Szeged) 74 (2008), 239-244.

  • H. Bercovici, C. Foias, and C. Pearcy, On the hyperinvariant subspace problem, IV, Canadian J. Math. 60 (4) (2008), 758-789.

  • C. Foias, R. Dascaliuc, and M.S. Jolly, Some specific mathematical constraints on 2D turbulence, Physica D 237 (2008), 3020-3029.

  • C. Foias, I.B. Jung, E. Ko, and C. Pearcy, One rank-one perturbations of normal operators, II, Indiana Univ. Math. J. 57 (6) (2008), 2745-2760.

Daniel Freeman

  • D. Freeman, Weakly null sequences with upper estimates, Studia Math. 184 (2008), no. 1, 79-102.

Stephen Fulling

  • K.A. Milton, S.A. Fulling, K.V. Shajesh, P. Parashar, A. Romeo, and J.A. Wagner, Gravitational and inertial mass of Casimir energy, J. Phys. A 41 (2008), 164052, 12 pp.

  • R. Estrada, S.A. Fulling, L. Kaplan, K. Kirsten, Z.H. Liu, and K.A. Milton, Vacuum stress-energy density and its gravitational implications, J. Phys. A 41 (2008), 164055, 11 pp.

  • S.A. Fulling and J.H. Wilson, Vacuum energy and closed orbits in quantum graphs, Analysis on Graphs and its Applications, P. Exner, J. Keating, P. Kuchment, T. Sunada, and A. Teplyaev (eds.), Proc. Symp. Pure Math. 77 (2008), 673-689.

Juan Galvis

  • M. Dryja, J. Galvis, and M. Sarkis, Balancing domain decomposition methods for discontinuous Galerkin discretization, in Domain Decomposition Methods in Science and Engineering XVII, Ulrich Langer, et al. (eds.), Vol. 60, Lecture Notes in Computational Science and Engineering, Springer-Verlag, 2008, pp. 271-278.

Francisco Garcia

  • F.J. Garcia-Pacheco and A. Miralles, Real renormings on complex Banach spaces, Chin. Ann. Math. Ser. B 29 (2008), no. 3, 239-246.

  • F.J. Garcia-Pacheco, Banach spaces with an infinite number of smooth faces in their unit ball, J. Convex Anal. 15 (2008), no. 2, 215-218.

  • F.J. Garcia-Pacheco, F. Rambla-Barreno, and J.B. Seoane-Sepúlveda, Q-linear functions, functions with dense graph, and everywhere surjectivity, Math. Scand. 102 (2008), no. 1, 156-160.

  • F.J. Garcia-Pacheco, Non-continuous linear functionals on topological vector spaces, Banach J. Math. Anal. 2 (2008), no. 1, 11-15.

  • A. Aizpuru, C. Pérez-Eslava, F.J. Garcia-Pacheco, and J.B. Seoane-Sepúlveda, Lineability and coneability of discontinuous functions on R, Publ. Math. Debrecen 72 (2008), no. 1-2, 129-139.

Rostislav Grigorchuk

  • R. Grigorchuk and T. Delzant, Homomorphic images of branch groups, and Serre's property (FA), in Geometry and Dynamics of Groups and Spaces, 353-375, Progr. Math., 265, Birkhäuser, Basel, 2008.

  • R. Grigorchuk, I. Bondarenko, R. Kravchenko, Y. Muntyan, V. Nekrashevych, D. Savchuk, and Z. Sunic, On classification of groups generated by 3-state automata over a 2-letter alphabeta, Algebra and Discrete Math. (2008), no. 1, 1-163.

  • R. Grigorchuk and Z. Sunic, Schreier spectrum of the Hanoi towers group on three pegs, Proc. Symp. Pure Math. 77 (2008), 183-198.

  • R. Grigorchuk and I. Pak, Groups of intermediate Growth, an introduction for beginners, 2008 L'Enseignement Mathematique, Revue Internationale, IIe Serie, Vol. 54, no.3-4, 28pp.

  • R. Grigorchuk and V. Nekrashevych, Self-similar contracting groups, Monographie de L'Enseignement Mathematique 40 (2008), 103-105.

Jean-Luc Guermond

  • J.-L. Guermond and B. Popov, L1-approximation of stationary Hamilton-Jacobi equations, SIAM J. Numer. Anal. 47:1 (2008), 339-362.

  • J.-L. Guermond and J. Pasciak, Stability of discrete Stokes operators in fractional Sobolev spaces, J. Math. Fluid Mech. (online) 10 (2008), 588-610.

  • R. Laguerre, C. Nore, A. Ribero, J. Leorat, J.-L. Guermond, and F. Plunian, Impact of impellers on the axisymmetric magnetic mode in the VKS2 dynamo experiment, Phys. Rev. Lett. 101:10 (2008), 104501.

  • J.-L. Guermond, On the use of the notion of suitable weak solutions in CFD, Int. J. Numer. Meth. Fluids 57 (2008), 1153-1170.

  • J.-L. Guermond and A. Salgado, A fractional step method based on a pressure Poisson equation for incompressible flows with variable density, C. R. Acad. Sci., Ser. I 346 (2008), 913-918.

  • J.-L. Guermond and R. Pasquetti, Entropy-based nonlinear viscosity for Fourier approximations of conservation laws, C. R. Acad. Sci., Ser. I 346 (2008), 801-806.

  • B. Bejano J.-L. Guermond, and P.D. Minev, A grid-alignment finite element technique for incompressible multicomponent flows, Comput. Phys. 227 (2008), 6473-6489.

  • D.A. Di Pietro, A. Ern, and J.-L. Guermond, Discontinuous Galerkin methods for anisotropic semidefinite diffusion with advection, SIAM J. Numer. Anal. 46 (2008), no. 2, 805-831.

  • J.-L. Guermond, J. Shen, and X. Yang, Error analysis of fully discrete velocity-correction methods for incompressible flows, Math. Comp. 77:263 (2008), 1387-1405.

  • J.-L. Guermond and B Popov, L1-minimization methods for Hamilton-Jacobi equations: the one-dimensional case, Numer. Math. 109 (2008), 269-284.

  • J.-L. Guermond and S. Prudhomme, A fully discrete non-linear Galerkin method for the 3D Navier-Stokes equations, Numer. Methods for PDEs 24:3 (2008), 759-775.

  • A. Ern and J.-L. Guermond, Discontinuous Galerkin methods for Friedrichs' systems. III. Multifield theories with partial coercivity, SIAM J. Numer. Anal. 46 (2008), no. 2, 776-804.

  • J.-L. Guermond, F. Marpeau, and B. Popov, A fast algorithm for solving first-order PDEs by L1-minimization, Commun. Math. Sci. 6:1 (2008), 199-216.

Thomas Hangelbroek

  • T. Hangelbroek, Error estimates for thin plate spline approximation in the disk, Constr. Approx. 28 (2008), no. 1, 27-59.

Peter Howard

  • P. Howard, Spectral analysis of planar transition fronts for the Cahn-Hilliard equation, J. Differential Equations 245 (2008), no. 3, 594-615.

William Johnson

  • W.B. Johnson and G. Schechtman, Multiplication operators on L(Lp) and lp-strictly singular operators, J. European Math. Soc. 10 (2008), 1105-1119.

  • W.B. Johnson and A. Zheng, A characterization of subspaces and quotients of reflexive Banach spaces with unconditional bases, Duke Math. J. 141 (2008), no. 3, 505-518.

Guido Kanschat

  • R.H.W. Hoppe, G. Kanschat, and T. Warburton, Convergence analysis of an adaptive interior penalty discontinuous Galerkin method, SIAM J. Numer. Anal. (2008), published online.

  • G. Kanschat and D. Schötzau, Energy norm a-posteriori error estimation for divergence-free discontinuous Galerkin approximations of the Navier-Stokes equations, Int. J. Numer. Methods Fluids 57(9) (2008), 1093-1113.

  • G. Kanschat, Robust smoothers for high order discontinuous Galerkin discretizations of advection-diffusion problems, J. Comput. Appl. Math. 218 (2008), 53-60.

  • G. Kanschat, Divergence-free discontinuous Galerkin schemes for the Stokes equations and the MAC scheme, Internat. J. Numer. Methods Fluids 56 (2008), no. 7, 941-950.

  • G. Kanschat, E. Meinköhn, R. Rannacher, and R. Wehrse (eds.), Numerical Methods for Multi-Dimensional Radiative Transfer, Springer, 2008.

  • G. Kanschat, Solution of radiative transfer problems with finite elements, in Numerical Methods for Multi-Dimensional Radiative Transfer, G. Kanschat, E. Meinköhn, R. Rannacher, and R. Wehrse (eds.), Springer, 2008.

David Kerr

  • D. Kerr and M. Pichot, Asymptotic Abelianness, weak mixing, and property T, J. reine angew. Math. 623 (2008), 213-235.

Thomas Kiffe

  • T. Kiffe and J. Matis, Generalized aphid population growth models with immigration and cumulative-size dependent dynamics, Math. Biosci. 215 (2008), 137-143.

Peter Kuchment

  • Y. Hristova, P. Kuchment, and L. Nguyen, Reconstruction and time reversal in thermoacoustic tomography in acoustically homogeneous and inhomogeneous media, Inverse Problems 24 (2008), 055006, 25 pp.

  • P. Kuchment, Quantum graphs: an introduction and a brief survey, in "Analysis on Graphs and its Applications", Proc. Symp. Pure. Math., AMS 2008, pp. 291-314.

  • P. Kuchment and L. Kunyansky, Mathematics of thermoacoustic tomography, European J. Appl. Math. 19 (2008), no. 2, 191-224.

  • P. Exner, J. Keating, P. Kuchment, A. Teplyaev, and T. Sunada (eds.), Analysis on Graphs and their Applications, Proc. Symp. Pure Math., American Math. Society, Providence, 2008, 700 pp.

  • P. Exner, J. Keating, P. Kuchment, T. Sunada, and A. Teplyaev, Preface to Analysis on Graphs and its Applications, Proc. Symp. Pure Math., American Math. Society, Providence, 2008.

Joseph Landsberg

  • J.M. Landsberg, Differential geometry of submanifolds of projective space, Symmetries and Overdetermined Systems of Partial Differential Equations, IMA Vol. Math. Appl., 144, Springer, New York, 2008, pp. 105-125.

  • J.M. Landsberg, Geometry and the complexity of matrix multiplication, Bull. Amer. Math. Soc. (N.S.) 45 (2008), no. 2, 247-284.

  • J.M. Landsberg and L. Manivel, Generalizations of Strassen's equations for secant varieties of Segre varieties, Comm. Algebra 36 (2008), no. 2, 405-422.

David Larson

  • D.R. Larson, P. Massopust, Z. Nashed, M.C. Nguyen, M. Papadakis, and A. Zayed (eds.), Frames and operator theory in analysis and signal processing, papers from the AMS-SIAM Special Session held in San Antonio, TX, January 12-15, 2006, by Contemporary Mathematics, 451, American Mathematical Society, Providence, RI, 2008.

  • D.R. Larson and P. Massopust, Coxeter groups and wavelet sets, Frames and Operator Theory Anal. Signal Processing, 187-218, Contemp. Math., 451, Amer. Math. Soc., Providence, RI, 2008.

  • V. Kaftal, D.R. Larson, and S. Zhang, Operator-valued frames on C*-modules, Frames and Operator Ttheory Anal. Signal Processing, 171-185, Contemp. Math., 451, Amer. Math. Soc., Providence, RI, 2008.

  • C. Heil and D.R. Larson, Operator theory and modulation spaces, Frames and Operator Ttheory Anal. Signal Processing, 137-150, Contemp. Math., 451, Amer. Math. Soc., Providence, RI, 2008.

  • D. Han, W. Jing, D.R. Larson, and R.N. Mohapatra, Riesz bases and their dual modular frames in Hilbert C*-modules, J. Math. Anal. Appl. 343 (2008), no. 1, 246-256.

  • D. Larson and X. Zhang, Interpolation maps and congruence domains for wavelet sets, Representations, Wavelets and Frames, Birkhäuser-Verlag, Basel, (2008), pp. 193-214.

  • Z. Catlin, B. George, A. Hergenroeder, and D. Larson, Patch and crossover planar dyadic wavelet sets, Involve 1 (2008), 59-90.

  • D. Han and D. Larson, Duality properties for projective unitary representations, Bull. London Math. Soc. 40 (2008), 685-695.

Aaron Lauve

  • A, Glen, A. Lauve, and F.V. Saliola, A note on the Markoff condition and central words, Inform. Process. Lett. 105 (2008), no. 6, 241-244.

Raytcho Lazarov

  • V.A. Dobrev, R.D. Lazarov, and L.T. Zikatanov, Preconditioning of symmetric interior penalty discontinuous Galerkin FEM for second order elliptic problems, in Domain Decomposition Methods Science and Engineering XVII, Lecture Notes in Computational Science and Engineering, Vol. 60, U. Langer, et al. (eds.), Springer-Verlag, Berlin, Heidelberg, 2008, pp. 33-44.

  • R. Chapko, M. Hermann, B. Jovanovich, V. Khlobystov, M. Kutniv, R. Lazarov, I. Lukovskyj, V. Makarov, P. Matus, A. Timokha, V. Trotsenko, and V. Vasylyk, A dedication: I. Gavrilyuk - 60, Comput. Meth. Appl. Math. 8(4) (2008), 311-314.

Paulo Lima-Filho

  • P. Lima-Filho and H. Schenck , Efficient computation of resonance varieties via Grassmannians, J. Pure and Appl. Math. (6 pages), (available online December 23, 2008).

Riad Masri

  • J.P. Kelliher and R. Masri, Analytic continuation of multiple Hurwitz zeta functions, Math. Proc. Cambridge Philos. Soc. 145 (2008), no. 3, 605-617.

  • R. Masri, On the L-functions of the curves y2=xl+A, J. Lond. Math. Soc. (2) 78 (2008), no. 3, 663-676.

Deepak Naidu

  • D. Naidu and D. Nikshych, Lagrangian subcategories and braided tensor equivalences of twisted quantum doubles of finite groups, Comm. Math. Phys. 279 (2008), no. 3, 845-872.

Volodymyr Nekrashevych

  • V. Nekrashevych, Symbolic dynamics and self-similar groups, Holomorphic Dynamics and Renormalization: A Volume in Honour of John Milnor's 75th Birthday , Vol. 53, Fields Institute Communications, 2008, pp. 25-73.

  • V. Nekrashevych and A. Teplyaev, Groups and analysis on fractals, Analysis on Graphs and its Applications, P. Exner, J.P. Keating, P. Kuchment, T. Sunada, and A. Teplyaev (eds.), Vol. 77, Proceedings of Symposia in Pure Mathematics, A.M.S., 2008, pp. 143-170.

  • V. Nekrashevych and L. Bartholdi, Iterated monodromy groups of quadratic polynomials, I, Groups, Geometry, and Dynamics 2 (2008), no. 3, 309-336.

Piotr Nowak

  • P.W. Nowak and G. Yu, What is ... property A? Notices Amer. Math. Soc. 55 (2008), no. 4, 474-475.

Luke Owens

  • S.C. Brenner, L. Owens, and L.-Y. Sung, A weakly over-penalized symmetric interior penalty method, Electron. Trans. Numer. Anal. 30 (2008), 107-127.

Devanayagam Palaniappan

  • W. Pesch, D. Palaniappan, J. Tao, and F.H. Busse, Convection in heated fluid layers subjected to time-periodic horizontal accelerations, J. Fluid Mech. 596 (2008), 313-332.

Dmitry Panchenko

  • D. Panchenko, On differentiability of the Parisi formula, Electron. Commun. Probab. 13 (2008), 241-247.

  • D. Panchenko, Exponential control of overlap in the replica method for p-spin Sherrington-Kirkpatrick model, J. Stat. Phys. 130 (2008), no. 5, 831-842.

Matthew Papanikolas

  • M.A. Papanikolas, Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms, Inventiones Mathematicae 171 (2008), 123-174.

Joseph Pasciak

  • J.H. Bramble and J.E. Pasciak, Analysis of a finite element PML approximation for the three dimensional time-harmonic Maxwell problem, Math. Comp. 77 (2008), no. 261, 1-10.

  • J.-L. Guermond and J.E. Pasciak, Stability of discrete Stokes operators in fractional Sobolev spaces, J. Math. Fluid Mechanics (JMFM) 10 (2008), 588-610.

  • T.V. Kolev, J.E. Pasciak, and P.S. Vassilevski, H(curl) auxiliary mesh preconditioning, Numer. Linear Alg. Appl. 15 (2008), 455-471.

  • D.M. Copeland, J. Gopalakrishnan, and J.E. Pasciak, A mixed method for axisymmetric div-curl systems, Math. Comp. 77 (2008), 1941-1965.

  • J.H. Bramble and J.E. Pasciak, A note on the existence and uniqueness of solutions of frequency domain elastic wave problems: a priori estimates in H1, Math. Anal. App. 345 (2008), 396-404.

  • J.E. Pasciak and P.S. Vassilevski, Exact de Rham sequences of spaces defined on macro-elements in two and three spatial dimensions, SIAM J. Sci. Comput. 30 (2008), 2427-2446.

Carl Pearcy

  • C. Foias, S.M. Hamid, C. Onica, and C. Pearcy, Inequalities for some positive functionals on operator algebras, Acta Sci. Math. (Szeged) 74 (2008), 239-244.

  • S. Hamid, C. Onica, and C. Pearcy, Quasidiagonality and the hyperinvariant subspace problem, Israel J. Math. 165 (2008), 285-296.

  • C. Foias, I.B. Jung, E. Ko, and C. Pearcy, One rank-one perturbations of normal operators, II, Indiana Univ. Math. J. 57 (6) (2008), 2745-2760.

  • H. Bercovici, C. Foias, and C. Pearcy, On the hyperinvariant subspace problem, IV, Canadian J. Math. 60 (4) (2008), 758-789.

Guergana Petrova

  • A. Kurganov and G. Petrova, A central-upwind scheme for landslides-generated water waves, Hyperbolic Problems: Theory, Numerics, Applications (Lyon, 2006), Springer, (2008), 635-642.

  • R.A. DeVore, G. Petrova, and P. Wojtaszczyk, Anisotropic smoothness spaces via level sets, Comm. Pure Appl. Math. 61 (2008), no. 9, 1264-1297.

  • J. Manson, G. Petrova, and S. Schaefer, Streaming surface reconstruction using wavelets, Computer Graphics Forum Proceedings of the Symposium on Geometry Processing, 27 (2008), no. 5, 1411-1420.

Melanie Pivarski

  • M. Pivarski and S. Saloff-Coste, Small time heat kernel behavior on Riemannian complexes, New York J. Math. 14 (2008), 459-494.

Alexei Poltoratski

  • A. Poltoratski, M. Melnikov, and A. Volberg, Uniqueness theorems for Cauchy integrals, Publ. Mat. 52(2) (2008), 289-314.

  • E. Abakumov and A. Poltoratski, Pseudocontinuation and cyclicity for random power series, J. Inst. Math. Jussieu 7 (2008), no. 3, 413-424.

Bojan Popov

  • J.-L. Guermond and B. Popov, L1-approximation of stationary Hamilton-Jacobi equations, SIAM J. Numer. Anal. 47 (2008), 339-362.

  • J-L. Guermond and B. Popov, L1-minimization methods for Hamilton-Jacobi equations: the one-dimensional case, Numer. Math. 109 (2008), 269-284.

  • I. Christov and B. Popov, New nonoscillatory central schemes on unstructured triangulations for hyperbolic systems of conservation laws, J. Comput. Phys. 227 (2008), 5736-5757.

  • J-L. Guermond, F. Marpeau, and B. Popov, L1-minimization algorithms for Hamilton-Jacobi equations, Comm. Math. Sci. 6 (2008), 199-216.

Coleen Robles

  • C. Robles, The adjoint variety of SL(C) is rigid at order three, Diff. Geom. Appl. 26 (2008), 683-696.

Maurice Rojas

  • Book Review, Basu, Pollack, and Roy's Algorithms in Real Algebraic Geometry, Springer-Verlag, 2006, Found. Comput. Math. 8(6) (2008), 765-771.

Eric Rowell

  • P. Etingof, E. Rowell, and S. Witherspoon, Braid group representations from twisted quantum doubles of finite groups, Pacific J. Math. 234 (2008), no. 1, 33-41.

  • S.-M. Hong, E.C. Rowell, and Z. Wang, On exotic modular tensor categories, Commun. Contemp. Math. 10 (2008), Suppl. 1, 1049-1074.

  • M.J. Larsen and E.C. Rowell, An algebra-level version of a link-polynomial identity of Lickorish, Math. Proc. Cambridge Philos. Soc. 144 (2008), no. 3, 623-638.

  • M.J. Larsen and E.C. Rowell, Unitary braid group representations with finite image, Algebr. Geom. Topol. 8 (2008), no. 4, 2063-2079.

  • E.C. Rowell, Unitarizability of premodular categories, J. Pure Appl. Algebra 212 (2008), no. 8, 1878-1887.

William Rundell

  • W. Rundell, Recovering an obstacle and its impedance from Cauchy data, Inverse Problems 24 (2008), 045003 (22 pages).

  • W. Rundell, Recovering an obstacle and a nonlinear conductivity from Cauchy data, Inverse Problems 24 (2008), 055015 (14 pages).

Thomas Schlumprecht

  • T. Schlumprecht, S. Dilworth, E. Odell, and A. Zsak, Coefficient quantization in Banach spaces, Found. Comput. Math. 8 (2008), no. 6, 703-736.

  • T. Schlumprecht, E. Odell, and A. Zsak, On the structure of asymptotic lp spaces, Quart. J. Math. Oxford J. 59 (2008), 85-122.

  • T. Schlumprecht, P. Casazza, S. Dilworth, E. Odell, and A. Zsak, Coefficient quantization for frames in Banach spaces, J. Math. Anal. Appl. 348, no. 1 (2008), 66-86.

Anna Skripka

  • A. Skripka, A spectral integral representation for decomposable operators, Math. Nachr. 281 (2008), no. 3, 424-433.

Lidia Smith

  • L. Smith, A nonhypercyclic operators with orbit-density properties, Acta Sci. Math. (Szeged) 74 (2008), no. 3-4, 743-756.

Roger Smith

  • A.M. Sinclair and R.R. Smith, Finite von Neumann Algebras and Masas, Cambridge University Press, London Lecture Note Series, Vol. 351, 2008, 400 pp.

  • F. Pop and R.R. Smith, Cones arising from C*-subalgebras and complete positivity, Math. Proc. Cambridge Philos. Soc. 145 (2008), no. 1, 121-127.

  • R.R. Smith, K. Dykema, A. Sinclair, and S. White, Generators of II1 factors, Operators and Matrices 2 (2008), 555-582.

Frank Sottile

  • T. Braden, L. Chen, and F. Sottile, The equivariant cohomology rings of quot schemes, Pacific J. Math. 238 (2008), no 2, 201-232.

  • F. Bihan and F. Sottile, Gale duality for complete intersections, Ann. Inst. Fourier (Grenoble) 58 (2008), no. 3, 877-891.

  • M. Longinetti, L. Sgheri, and F. Sottile, Convex hulls of orbits and orientations of a moving protein domain, Discrete Comput. Geom. Published online: May 8, 2008, (24 pages).

  • K. Purbhoo and F. Sottile, The recursive nature of cominuscule Schubert calculus, Adv. Math. 217 (2008), no. 5, 1962-2004.

  • T. Theobald and F. Sottile, Line problems in nonlinear computational geometry, in Surveys on Discrete and Computational Geometry - Twenty Years Later, Contemporary Math., 453 AMS, 2008, pp. 411-432.

Peter Stiller

  • O.L. Mendoza, D.R. Arnold, and P.F. Stiller, Further exploration of the object-image metric with image registration in mind, in Multisensor, Multisource Information Fusion: Architectures, Algorithms, and Applications 2008, Vol. 6974, SPIE Defense and Security Symposium, Orlando, FL, March 2008, 12 pp.

Emil Straube

  • E.J. Straube, A sufficient condition for global regularity of the d-bar-Neumann operator, Adv. Math. 217 (2008), no. 3, 1072-1095.

  • E.J. Straube and A. Raich, Compactness of the complex Green operator, Math. Res. Lett. 15 (2008), no. 4, 761-778.

Xingping Sun

  • X. Sun and Z. Chen, Spherical basis functions and uniform distribution of points on spheres, J. Approx. Theory 151 (2008), no. 2, 186-207.

Zoran Sunik

  • Z. Sunik and R. Grigorchuk, Schreier spectrum of the Hanoi Towers group on three pegs, Proc. Symposia Pure Math. 77 (2008), 183-198.

  • Z. Sunik, Frobenius problem and dead ends in integers, J. Number Theory 128 (2008), no.5, 1211-1223.

  • I. Bondarenko, R. Grigorchuk, R. Kravchenko, Y. Muntyan, V. Nekrashevych, D. Savchuk, and Z. Sunic, On classification of groups generated by 3-state automata over a 2-letter alphabet, Alg. Discrete Math. (2008), no. 1, 1-163.

Rosangela Sviercoski

  • R.F. Sviercoski, C.L. Winter, and A.W. Warrick, Analytical approximation for the generalized Laplace equation with step function coefficient, SIAM J. Appl. Math. 68 (2008), no. 5, 1268-1281.

  • R.F. Sviercoski, B.J. Travis, and J.M. Hyman, Analytical effective coefficient and a first-order approximation for linear flow through block permeability inclusions, Comput. Math. Appl. 55 (2008), no. 9, 2118-2133.

Zachariah Teitler

  • U. Derenthal, M. Joyce, and Z. Teitler, The nef cone volume of generalized del Pezzo surfaces, Algebra Number Theory 2 (2008), no. 2, 157-182.

  • Z. Teitler, A note on Mustaţă's computation of multiplier ideals of hyperplane arrangements, Proc. Amer. Math. Soc. 136 (2008), no. 5, 1575-1579.

Paula Tretkoff

  • P. Tretkoof, P.-A. Desrousseaux, and M.D. Tretkoff, Zariski-density of exceptional sets for hypergeometric functions, Forum Math. (20) 2 (2008), 187-199.

Yaroslav Vorobets

  • M. Vorobets and Y. Vorobets, On a series of finite automata defining free transformation groups, Groups Geom. Dynam. (2008).

Jay Walton

  • A.I. Ibragimov, C.J. McNeal, L.R. Ritter, and J.R. Walton, Stability analysis of a model of atherogenesis: an energy estimate approach, J. Comp. Math. Methods Med. 9 (2) (2008), 121-142.

  • T.L. Leise, J.R. Walton, and Y. Gorb, Reconsidering the boundary conditions for a dynamic, transient mode I crack problem, J. Mech. Math. Struct. 3(9) (2008), 1797-1807.

  • Y. Gorb, T.L. Leise, and J.R. Walton, Dynamic transient mode I crack propagation with a nonlinear viscoelastic cohesive zone, Proc. 6th Int. Conf. on Mechanics of Time-Dependent Materials, R.B. Hall, H. Lu and H.-J. Qi (eds.), Curran Assoc, 57 Morehouse, Red Hook, NY; www.proceedings.com/bookstore.html, 2008.

Joseph Ward

  • J.D. Ward, Direct and inverse theorems for RBF-type functions: implications and applications, in Proc. Approximation Theory XII (San Antonio, 2007), Nashboro Press, 2008, pp. 425-443.

Sarah Witherspoon

  • P. Etingof, E. Rowell, and S. Witherspoon, Braid group representations from twisted quantum doubles of finite groups, Pacific J. Math. 234 (2008), no. 1, 33-41.

  • S. Witherspoon and A.V. Shepler, Hochschild cohomology and graded Hecke algebras, Trans. Amer. Math. Soc. 360 (2008), no. 8, 3975-4005.

Catherine Yan

  • D. Kostic and C.H. Yan, G-parking functions, graph search, and Tutte polynomial, Adv. Appl. Math. 40 (2008), 73-97.

  • C.H. Yan, W.Y.C. Chen, I. Gessel, and A.L. Yang, A major index for matchings and set partitions, J. Combin. Theory Ser. A 115 (2008), 1069-1076.

  • C.H. Yan and D. Kostic, Multiparking functions, graph search, and Tutte oolynomial, Adv. Appl. Math. 40 (2008), 73-97.

  • C.H. Yan, W.Y.C. Chen, and S.Y. Wu, Linked partitions and linked cycles, European J. Combin. 29 (2008), no. 6, 1408-1426.

  • D. Kostic and C.H. Yan, Multiparking functions, graph searching, and the Tutte polynomial, Adv. in Appl. Math. 40 (2008), no. 1, 73-97.

Jianxin Zhou

  • J. Zhou, X. Chen, and X. Yao, A numerical method for finding multiple co-existing solutions to nonlinear cooperative systems, Appl. Numer. Math. 58 (2008), 1614-1627.


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