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Convergence of frozen Gaussian approximation for high frequency wave propagation
Convergence of frozen Gaussian high frequency wave propagation
2011/2/25
The frozen Gaussian approximation provides a highly efficient computational method for high frequency wave propagation. The derivation of the method is based on asymptotic analysis. In this paper, fo...
Best approximation in max-plus semimodules
Elements of best approximation Max-plus algebra
2011/2/28
We establish new results concerning projectors on max-plus spaces, as well as separating half-spaces, and derive an explicit formula for the distance in Hilbert's projective metric between a point and...
Darboux transformations of Jacobi matrices and Padé approximation
Darboux transformation, monic Jacobi matrix monic generalized
2011/2/22
Let J be a monic bounded Jacobi matrix associated with the function F. We construct a pair of the lower and upper triangular block matrices L and U such that J = LU and the matrix JC = UL is a monic g...
Numerical Approximation of the Inviscid 3D Primitive Equations in a Limited Domain
the Inviscid 3D Primitive Equations Limited Domain
2010/11/24
A new set of nonlocal boundary conditions are proposed for the higher modes of the 3D inviscid primitive equations. Numerical schemes using the splitting-up method are proposed for these modes. Numeri...
Approximation of functions and their derivatives by analytic maps on certain Banach spaces
Approximation of functions derivatives analytic maps
2010/11/24
Let X be a separable Banach space which admits a separating polynomial; in particular X a separable Hilbert space. Let $f:X \rightarrow R$ be bounded, Lipschitz, and $C^1$ with uniformly continuous d...
Uniform approximation of the integrated density of states for long-range percolation Hamiltonians
the integrated density of states long-range percolation Hamiltonians
2010/11/23
In this paper we study the spectrum of long-range percolation graphs. The underlying geometry is given in terms of a finitely generated amenable group. We prove that the integrated density of states (...
Average best $m$-term approximation
nonlinear approximation best m-term approximation average widths
2010/12/1
We introduce the concept of average best m-term approximation widths with respect to a probability measure on the unit ball of ℓnp .
Polynomial Approximation in Sobolev Spaces on the Unit Sphere and the Unit Ball
Polynomial Sobolev Spaces Unit Sphere Unit Ball
2010/11/18
This work is a continuation of the recent study by the authors on approximation theory over the sphere and the ball. The main results define new Sobolev spaces on these domains and study polynomial ap...
Two-dimensional Finite Larmor Radius approximation in canonical gyrokinetic coordinates
Two-dimensional Larmor Radius approximation canonical gyrokinetic coordinates
2010/11/9
In this paper, we present some new results about the approximation of the Vlasov-Poisson system with a strong external magnetic field by the 2D finite Larmor radius model. The proofs within the prese...
On the power of function values for the approximation problem in various settings
function values the approximation problem various settings
2010/11/22
This is an expository paper on approximating functions from general Hilbert or Banach spaces in the worst case, average case and randomized settings with error measured in the $L_p$ sense. We define ...
Trajectory averaging for stochastic approximation MCMC algorithms
Trajectory averaging MCMC algorithms
2010/11/18
The subject of stochastic approximation was founded by Robbins and Monro [Ann. Math. Statist. 22 (1951) 400--407]. After five decades of continual development, it has developed into an important area...
Convex Multivariate Approximation by Algebras of Continuous Functions
Convex Multivariate Approximation Algebras Continuous Functions
2010/11/22
We obtain an analog of Shvedov theorem for convex multivariate approximation by algebras of continuous functions.
A posteriori error estimates for a finite element approximation of transmission problems with sign changing coefficients
A posteriori estimator non positive definite diffusion problems
2010/12/8
We perform the a posteriori error analysis of residual type of a transmission problem with sign changing coefficients. According to [6] if the contrast is large enough, the continuous problem can be t...
Stochastic Shear Thickening Fluids:Strong Convergence of the Galerkin Approximation and the Energy Equality
Stochastic Shear Thickening Fluids:Strong Convergence Galerkin Approximation Energy Equality
2010/12/3
We consider a SPDE (stochastic partial differential equation) which describes the velocity field of a viscous, incompressible non-Newtonian fluid subject to a random force.Here, the extra stress tenso...
Korovkin-type Theorems and Approximation by Positive Linear Operators
Korovkin-type theorem positive operator approximation by positive operators
2010/12/6
This survey paper contains a detailed self-contained introduction to Korovkin-type theorems
and to some of their applications concerning the approximation of continuous functions as well
as of Lp-fu...