during recent years, a series of climate projections provided for surface temperature increase and precipitation changes over the next century in various time slices. national institutes are using downscaling projections for more precise results. in this research study, various climate change projections in global, continental, regional and local scales have been examined in special forest ecos...

We consider variational multiscale (VMS) methods with h-adaptive technique for the stationary incompressible Navier–Stokes equations. The natural combination of VMS with adaptive strategy retains the best features of both methods and overcomes many of their deficits. A reliable a posteriori projection error estimator is derived, which can be computed by two local Gauss integrations at the eleme...

We present a construction of a gradient recovery operator based on an oblique projection, where the basis functions of two involved spaces satisfy a condition of biorthogonality. The biorthogonality condition guarantees that the recovery operator is local. 1. Introduction. One reason for the success of the finite element method for solving partial differential equations is that a reliable a pos...

We present a novel algorithm for image fusion from irregularly sampled data. The method is based on the framework of normalized convolution (NC), in which the local signal is approximated through a projection onto a subspace. The use of polynomial basis functions in this paper makes NC equivalent to a local Taylor series expansion. Unlike the traditional framework, however, the window function ...

In the context of offshore oil production, we are interested in accurate and fast computation of two-phase flows in pipelines. A one dimensional model of hyperbolic equations is solved numerically by an explicit Lagrange Euler projection method. This paper shows that adaptive multiresolution techniques can speed up the computation significantly. Even more so when local time stepping enhancement...

Dimensionality reduction has important applications in exploratory data analysis. A method based on Local Linear Projection (LLP) is proposed. The advantage of this method is that it is robust against uncertainty. Statistical analysis is applied to estimate parameters. Simulational results on synthetic data are promising. Some preliminary experiment of applying this method to microarray data is...

In this article, we propose to study two issues associated with the use of the incremental projection method for solving the incompressible Navier-Stokes equation. The first one is the combination of this time splitting algorithm with an adaptive local refinement method. The second one is the reduction of spurious velocities due to the right-hand side of the momentum balance. We propose a new v...