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Browsing Department of Mathematics - Faculty Publications by Title

Browsing Department of Mathematics - Faculty Publications by Title

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  • A class of degenerate elliptic equations and a Dido's problem with respect to a measure 
    Brock F.; Chiacchio F.; Mercaldo A. (SAN DIEGO525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA, 2008)
    In this paper we consider the following class of linear elliptic problems[(- div (A (x) ∇ u) = xN k exp (- frac(| x |2, 2)) f (x) in Ω,; u = 0 on ∂ Ω [set minus] [xN = 0],) where k ≥ 0, Ω is a domain (possibly unbounded) ...
  • A class of gorenstein artin algebras of embedding dimension four 
    El Khoury S.; Srinivasan H. (PHILADELPHIA325 CHESTNUT ST, SUITE 800, PHILADELPHIA, PA 19106 USA, 2009)
    In this article, we study height four graded Gorenstein ideals I in k[x, y, z, w] such that I2 is of height one and generated by three quadrics. After a suitable linear change of variables, I ∩ k[x, y, z] is either Gorenstein ...
  • A globally adaptive explicit numerical method for exploding systems of ordinary differential equations 
    Nassif N.R.; Makhoul-Karam N.; Erhel J. (AMSTERDAMPO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS, 2013)
    This paper considers the mathematical framework of a sliced-time computation method for explosive solutions to systems of ordinary differential equations: Y(t)â̂̂Rk:dYdt=F(Y), 0andlt;t, Y(0)= Y0, that have finite or infinite ...
  • A multiplicity result for the p-Laplacian involving a parameter 
    Brock F.; Iturriaga L.; Ubilla P. (BASELPICASSOPLATZ 4, BASEL, 4052, SWITZERLAND, 2008)
    We study existence and multiplicity of positive solutions for the following problem [-Δp u = λ f(x,u) in Ω u = 0 on ∂Ω' where λ is a positive parameter, Ω is a bounded and smooth domain in ℝN, p ∈ (1, N), f(x,t) behaves, ...
  • A new approach for solving evolution problems in time-parallel way 
    Nassif N.R.; Karam N.M.; Soukiassian Y. (, 2006)
    With the advent of massively parallel computers with thousands of processors, a large amount of work has been done during the last decades in order to enable a more effective use of a higher number of processors, by ...
  • A recursive construction of nonbinary de Bruijn sequences 
    Alhakim A.; Akinwande M. (DORDRECHTVAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS, 2011)
    This paper presents a method to find new de Bruijn sequences based on ones of lesser order. This is done by mapping a de Bruijn cycle to several vertex disjoint cycles in a de Bruijn digraph of higher order and then ...
  • A relative isoperimetric inequality 
    Brock F.; Willem M. (SINGAPORE5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE, 2012)
    We prove that, if Ω is an open subset of N with finite measure, there exists a hyperplane H through 0 such that the measure of Ω ∩ H is less than the measure of B ∩ H, where B is the open ball with center 0 having the same ...
  • A simple combinatorial algorithm for de bruijn sequences 
    Alhakim A.M. (WASHINGTON1529 18TH STREET NW, WASHINGTON, DC 20036 USA, 2010)
    This paper presents a combinatorial method to construct a de Bruijn sequence for any order n. The method is similar to that of the well-known prefer-one algorithm. The resulting sequences are compared and both methods are ...
  • A weak periodicity condition for rings 
    Abu-Khuzam H.; Bell H.E.; Yaqub A. (, 2005)
    A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson radical can be written as the sum of a potent element and a nilpotent element. After discussing some basic properties of such ...
  • Adaptive time-step with anisotropic meshing for incompressible flows 
    Coupez T.; Jannoun G.; Nassif N.; Nguyen H.C.; Digonnet H.; Hachem E. (SAN DIEGO525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA, 2013)
    This paper presents a method of combining anisotropic mesh adaptation and adaptive time-stepping for Computational Fluid Dynamics (CFD). First, we recall important features of the anisotropic meshing approach using a ...
  • Adjoint restriction estimates and scaling on spheres 
    Shayya B. (PROVIDENCE201 CHARLES ST, PROVIDENCE, RI 02940-2213 USA, 2004)
    We test the restriction conjecture, in its adjoint form, against a class of measures φδdσ on the sphere Sn-1. The densities φδ are smoothed out characteristic functions of δa2 × δa3 × ⋯ × δan rectangular caps on Sn-1, where ...
  • Affine restriction for radial surfaces 
    Shayya B. (NEW YORK233 SPRING ST, NEW YORK, NY 10013 USA, 2009)
    Suppose dμ is affine surface measure on a convex radial surface Γ(x) = (x, γ ([pipe]x[pipe])), a ≤ [pipe]x[pipe] andlt; b, in ℝ3. Under appropriate smoothness and growth conditions on γ, we prove (L4-3(ℝ3), L4-3(dμ)) and ...
  • An affine restriction estimate in R3 
    Shayya B. (PROVIDENCE201 CHARLES ST, PROVIDENCE, RI 02940-2213 USA, 2007)
    We prove that the Fourier transform of an L4-3 function can be restricted to any compact convex C2 surface of revolution in R 3. © 2006 American Mathematical Society.
  • An Introductory Course in Elementary Number Theory 
    Raji, Wissam (Saylor Foundation, )
    This books serves as an introduction to the theory of numbers. It is intended to equip the reader with sufficient background to study higher number theoretic courses.
  • Asymptotically fast group operations on Jacobians of general curves 
    Khuri-Makdisi K. (PROVIDENCE201 CHARLES ST, PROVIDENCE, RI 02940-2213 USA, 2007)
    Let C be a curve of genus g over a field k. We describe probabilistic algorithms for addition and inversion of the classes of rational divisors in the Jacobian of C. After a precomputation, which is done only once for the ...
  • Brauer groups of singular del Pezzo surfaces 
    Bright M. (ANN ARBORUNIV MICHIGAN DEPT MATHEMATICS 3217 ANGELL HALL, ANN ARBOR, MI 48109-1003 USA, 2013)
    [No abstract available]
  • Central schemes on unstructured grids 
    Touma R.; Jannoun G. (, 2012)
    In this paper we present a two-dimensional extension of the staggered Lax-Friedrichs scheme for the approximate solution of hyperbolic conservation laws on unstructured grids. By evolving the numerical solution on two ...
  • Close-to-Convexity Criteria for Planar Harmonic Mappings 
    Bshouty D.; Lyzzaik A. (BASELVIADUKSTRASSE 40-44, PO BOX 133, CH-4010 BASEL, SWITZERLAND, 2011)
    We give a criteria for planar harmonic mappings to be univalent close-to-convex which settles a conjecture of P. T. Mocanu. © 2010 Birkhäuser - Springer Basel AG.
  • Computation of blowing-up solutions for second-order differential equations using re-scaling techniques 
    Nassif N.R.; Makhoul-Karam N.; Soukiassian Y. (AMSTERDAMPO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS, 2009)
    This paper presents a new technique to solve efficiently initial value ordinary differential equations of the second-order which solutions tend to have a very unstable behavior. This phenomenon has been proved by Souplet ...
  • Concerning continua that contain no metric subcontinua 
    Daniel D.; Nikiel J.; Treybig L.B.; Tuncali M.; Tymchatyn E.D. (HOUSTONDEPT MATH, HOUSTON, TX 77204 USA, 2004)
    In earlier work the authors raised the following question. Let X denote a locally connected continuum such that X is rim-metric and such that X contains no nondegenerate metric subcontinuum. Is X rim-finite and therefore ...

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