For the discovery of regression relationships between Y and a large set p potential predictors x1,…,xp, flexible nonparametric nature BART (Bayesian Additive Regression Trees) allows for much richer possibilities than restrictive parametric approaches. However, subject matter considerations sometimes warrant minimal assumption monotonicity in at least some predictors. such contexts, we introduc...

In this paper, the general concept of multidimensional discrete maps is presented. Moreover, new and fundamental results show invariance bifurcation points from periodic to chaotic behavior. Numerical examples regarding cases logistic map, complex-valued Ikeda multivariable Henon map are reported.

accurate prediction of pollution control and environmental protection need a good understanding of pollutant dynamics. numerical model techniques are important apparatus in this research area. so a 2500 line fortran 95 version code was conducted in which using approximate riemann solver, couples the shallow water and pollution transport agents in two dimensions by the aid of unstructured meshes...