When fluid in a rectangular tank sits upon a platform which is oscillating with sufficient amplitude, surface waves appear in the "Faraday resonance." Scientists and engineers have done bifurcation analyses which assume that there is a center manifold theory using a finite number of excited spatial modes. We establish such a center manifold theorem for Xiao-Biao Lin’s model in which potential f...

The estimation of pollution fields, especially in densely populated areas, is an important application in the field of environmental science due to the significant effects of air pollution on public health. In this paper, we investigate the spatial distribution of three air pollutants in Tehran’s atmosphere: carbon monoxide (CO), nitrogen dioxide (NO2), and atmospheric particulate matters less ...

Satellite data have been used for temperature modeling both in urban areas and water. This paperstudies viability of ASTER satellite images that provide high spatial and spectral resolution to model watersurface temperature, as a fundamental water quality parameter. This study is focused on Dez dam reservoirresiding in Khuzestan province, south west of Iran. After the image corrections required...

Spherekit is a spatial interpolation toolkit developed and distributed over the internet by the National Center for Geographic Information and Analysis (NCGIA). A unique feature of the software is its ability to work directly with the spherical geometry of the earth. Thus, distances, areas, and directions are spherically based, and interpolation can be carried out over large distances without d...

When observed air temperatures are analyzed spatially, irregularly sampled data are usually interpolated in some fashion. As a result, methods of spatial analysis clearly play a role in determining the size and variability of estimated air temperature changes, both spatially and temporally. Through graphical and statistical analysis, 3 spherically based interpolation methods inversedistance wei...

The interpolation of spatial data has been considered in many different forms. The various forms of kriging are among the best known in the earth sciences although techniques such as inverse distance weighting were and are in use for spatially located data. In the numerical analysis literature various forms of splines and more recently radial basis functions have been developed and used. Becaus...