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A FAST DIRECTIONAL ALGORITHM FOR HIGH FREQUENCY ACOUSTIC SCATTERING IN TWO DIMENSIONS
N-body problems Helmholtz equation oscillatory kernels fast multipole methods multidirectional computation multiscale methods
2015/7/14
This paper is concerned with fast solution of high frequency acoustic scattering problems in two dimensions. We introduce a directional multiscale algorithm for the N-body problem of the two dimension...
The stochastic acceleration problem in two dimensions
stochastic acceleration problem two dimensions
2015/7/14
We consider the motion of a particle in a two-dimensional spatially homogeneous mixing potential and show that its momentum converges to the Brownian motion on a circle. This complements the limit the...
Global uniqueness and reconstruction for the multi-channel Gel'fand-Calderón inverse problem in two dimensions
Global uniqueness reconstruction multi-channel Gel'fand-Calderón inverse problem
2011/2/24
We study the multi-channel Gel’fand-Calderón inverse problem in two dimensions, i.e. the inverse boundary value problem for the equation − + v(x) = 0, x 2 D, where v is a smooth matrix-valued...
Strichartz estimates for Dirichlet-wave equations in two dimensions with applications
Strichartz estimtes Strauss conjecture obstacles
2011/2/21
We establish the Strauss conjecture for nontrapping obstacles when the spatial dimension n is two. As pointed out in [7] this case is more subtle than n = 3 or 4 due to the fact that the arguments of ...
Homogenization of the G-equation with incompressible random drift in two dimensions
the G-equation incompressible dimensions
2010/11/8
We study the homogenization limit of solutions to the G-equation with random drift. This Hamilton-Jacobi equation is a model for flame propagation in a turbulent fluid in the regime of thin flames. F...
The di®erence of the variance functions between two estimated responses for a fourth order rotatable design in two dimensions
variance functions estimated responses rotatable design
2009/1/4
In this paper the di®erence of the variance functions between
two estimated responses for a fourth order design at any two points in the
factor space is developed. In particular, the variance fu...
Identification of a spatially dependent conductivity in two dimensions
Identification of a spatially dependent conductivity dimensions
2010/9/14
From some measured data on the boundary of a domain in two dimensions, we get the unknown conductivity coefficient in the whole domain by applying Backus-Gilbert method on some integral identity. Prac...
Ostrowski-Grüss type Inequalities in Two Dimensions
Ostrowski's inequality 2-dimensional generalization Ostrowski-Grüss inequality
2008/6/27
A general Ostrowski-Grüss type inequality in two dimensions is established. A particular inequality of the same type is also given.
CONVERGENCE OF A CONSERVATIVE DIFFERENCE SCHEME FOR THE ZAKHAROVEQUATIONS IN TWO DIMENSIONS
2007/12/11
A conservative difference scheme is presented for the
initial-boundary-value problem of a generalized Zakharov equations. On
the basis of a prior estimates in $L_2$ norm, the convergence of the
dif...
