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A FAST PARALLEL ALGORITHM FOR SELECTED INVERSION OF STRUCTURED SPARSE MATRICES WITH APPLICATION TO 2D ELECTRONIC STRUCTURE CALCULATIONS
selected inversion parallel algorithm electronic structure calculation
2015/7/14
An efficient parallel algorithm is presented for computing selected components of AW22;1 where A is a structured symmetric sparse matrix. Calculations of this type are useful for several applicatio...
Synchrosqueezed Wave Packet Transform for 2D Mode Decomposition
wave packet transform synchrosqueezing clustering local wavevector phase space representation empirical mode decomposition
2015/7/14
This paper introduces the synchrosqueezed wave packet transform as a method for analyzing twodimensional images. This transform is a combination of wave packet transforms of a certain geometric scalin...
CRYSTAL IMAGE ANALYSIS USING 2D SYNCHROSQUEEZED TRANSFORMS
Crystal defect elastic deformation crystal rotation 2D general wave shape 2D general intrinsic mode type function 2D band-limited synchrosqueezed transforms
2015/7/14
We propose efficient algorithms based on a band-limited version of 2D synchrosqueezed transforms to extract mesoscopic and microscopic information from atomic crystal images. The methods analyze atomi...
TRAVELING WAVES IN 2D REACTIVE BOUSSINESQ SYSTEMS WITH NO-SLIP BOUNDARY CONDITIONS
TRAVELING WAVES 2D REACTIVE BOUSSINESQ SYSTEMS NO-SLIP BOUNDARY CONDITIONS
2015/7/14
We consider systems of reactive Boussinesq equations in two dimensional strips that are not aligned with gravity s direction. We prove that for any width of such strips and for arbitrary Rayleigh and ...
TRA VELING W A VES IN 2D REACTIVE BOUSSINESQ SYSTEMS WITH NO-SLIP BOUNDAR Y CONDITIONS
TRAVELING WAVES IN 2D REACTIVE BOUSSINESQ SYSTEMS NO-SLIP BOUNDARY CONDITIONS
2014/4/4
We consider systems of reactive Boussinesq equations in two dimensional strips that are not aligned with gravity's direction. We prove that for any width of such strips and for arbitrary Rayleigh and ...
GLOBAL SOLUTIONS FOR THE GRAVITY WATER WAVES SYSTEM IN 2D
GLOBAL SOLUTIONS THE GRAVITY WATER WAVES SYSTEM 2D
2014/4/3
We consider the gravity water waves system in the case of a one dimensional interface, for suf- ficiently smooth and localized initial data, and prove global existence of small solutions. This i...
A further generalization of the Bernoulli polynomials and on the 2D-Bernoulli polynomials B_n^2(x,y)
Bernoulli numbers and Bernoulli polynomials Appell polynomials
2010/9/26
In this work we give some recurrence relations of the new generalized Bernoulli polynomials and numbers. Furthermore a relation is given between 2D-Bernoulli polynomials and 2-variable Hermite Kamp&ac...
Runaway expansion in confined quasi-2D plasmas and vortex fluids
Runaway expansion quasi-2D plasmas vortex fluids
2010/11/11
The confined, quasi-two-dimensional guiding center plasma and a system of interacting line vortices in an ideal fluid are examples of Hamiltonian systems with infinite interaction distances. The exis...
Measure valued solutions of the 2D Keller-Segel system
valued solutions the 2D Keller-Segel system
2010/11/8
We study the solutions of the two-dimensional Keller-Segel system describing chemotaxis. The Keller-Segel system as well as the properties of the blow-up set has been extensively studied. In this pap...
We propose a stable algorithm for the reconstruction of the internal conductivity of a biological object using acousto-electric measurements. Namely, the conventional impedance tomography scheme is s...
A 2D adaptive Volterra quadratic algorithm based on the Lyapunov stability theory
quadratic algorithm the Lyapunov stability theory
2010/9/15
In this paper, we develop a 2D adaptive nonlinear algorithm based on a second order Volterra filter with linear part. We theoretically show that the proposed algorithm is numerically stable with respe...
Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D
Nonlinear Fokker-Planck equations Navier-Stokes equations Smoluchowski equation micro-macro interactions
2014/4/4
We prove global existence for a nonlinear Smoluchowski equation (a nonlinear FokkerPlanck equation) coupled with Navier-Stokes equations in 2d. The proof uses a deteriorating regularity estimate in th...