# Search

Now showing items 1-9 of 9

#### A MULTISCALE IMAGE REPRESENTATION USING HIERARCHICAL (BV,L2) DECOMPOSITIONS

(Copyright: Society for Industrial and Applied Mathematics, 2004)

We propose a new multiscale image decomposition which offers a hierarchical,
adaptive representation for the different features in general images. The starting point is a variational
decomposition of an image, f = u0 + ...

#### CRITICAL THRESHOLDS IN A CONVOLUTION MODEL FOR NONLINEAR CONSERVATION LAWS

(Copyright: Society for Industrial and Applied Mathematics, 2001)

In this work we consider a convolution model for nonlinear conservation laws.Due to
the delicate balance between the nonlinear convection and the nonlocal forcing, this model allows for
narrower shock layers than those ...

#### SPECTRAL VANISHING VISCOSITY METHOD FOR NONLINEAR CONSERVATION LAWS

(Copyright: Society for Industrial and Applied Mathematics, 2001)

We propose a new spectral viscosity(SV) scheme for the accurate solution of nonlinear
conservation laws. It is proved that the SV solution converges to the unique entropysolution
under appropriate reasonable conditions. ...

#### CRITICAL THRESHOLDS IN 2D RESTRICTED EULER–POISSON EQUATIONS

(Copyright: Society for Industrial and Applied Mathematics, 2003)

We provide a complete description of the critical threshold phenomenon for the twodimensional
localized Euler–Poisson equations, introduced by the authors in [Comm. Math. Phys.,
228 (2002), pp. 435–466]. Here, the questions ...

#### Pointwise error estimates for relaxation approximations to conservation laws

(Copyright: Society for Industrial and Applied Mathematics, 2000)

We obtain sharp pointwise error estimates for relaxation approximation to scalar
conservation laws with piecewise smooth solutions. We first prove that the first-order partial derivatives
for the perturbation solutions ...

#### CENTRAL DISCONTINUOUS GALERKIN METHODS ON OVERLAPPING CELLS WITH A NONOSCILLATORY HIERARCHICAL RECONSTRUCTION

(Copyright: Society for Industrial and Applied Mathematics, 2007)

The central scheme of Nessyahu and Tadmor [J. Comput. Phys., 87 (1990), pp.
408–463] solves hyperbolic conservation laws on a staggered mesh and avoids solving Riemann problems
across cell boundaries. To overcome the ...

#### Detection of Edges in Spectral Data II. Nonlinear Enhancement

(Copyright: Society for Industrial and Applied Mathematics, 2000)

We discuss a general framework for recovering edges in piecewise smooth functions
with finitely many jump discontinuities, where [f](x) := f(x+)−f(x−) = 0. Our approach is based
on two main aspects—localization using ...

#### RECOVERY OF EDGES FROM SPECTRAL DATA WITH NOISE—A NEW PERSPECTIVE

(Copyright: Society for Industrial and Applied Mathematics, 2008)

We consider the problem of detecting edges—jump discontinuities in piecewise
smooth functions from their N-degree spectral content, which is assumed to be corrupted by noise.
There are three scales involved: the “smoothness” ...

#### LONG-TIME EXISTENCE OF SMOOTH SOLUTIONS FOR THLong time existence of smooth solutions for the rapidly rotating shallow-water and Euler equationsE

(Copyright: Society for Industrial and Applied Mathematics, 2008)

We study the stabilizing effect of rotational forcing in the nonlinear setting of twodimensional
shallow-water and more general models of compressible Euler equations. In [Phys. D,
188 (2004), pp. 262–276] Liu and Tadmor ...