Grid size (or resolution), when inadequate, can be an important source of uncertainty for air quality model (AQM) simulations. Coarse grids used because of computational limitations may artificially diffuse the emissions, leading to significant errors in the concentrations of pollutant species, especially those that are formed via non-linear chemical reactions. Further, coarse grids may result ...

Recently, the Desktop-Grid ADaptive Application in Java (DG-ADAJ ) project has been unveiled. Its goal is to provide an environment which facilitates adaptive control of distributed applications written in Java for the Grid or the Desktop Grid. However, in its current state it can be used only in closed environments (e.g. within a single laboratory), as it lacks features that would make it read...

In this paper, we propose a Modified nested sparse grid based Adaptive Stochastic Collocation Method (MASCM) for block-based Statistical Static Timing Analysis (SSTA). The proposed MASCM employs an improved adaptive strategy derived from the existing Adaptive Stochastic Collocation Method (ASCM) to approximate the key operator MAX during timing analysis. In contrast to ASCM which uses non-neste...

We introduce here a new method for the numerical resolution of the Vlasov equation on a phase space grid using an adaptive semi-Lagrangian method. The adaptivity is obtained through a multiresolution analysis which enables to keep or remove grid points from the simulation depending on the size of their associated coefficients in a multiresolution expansion. The adaptive algorithm consists in th...

We present an accurate and efficient numerical method for solving the Black–Scholes equation. The method uses an adaptive grid technique which is based on a far-field boundary position and the Peclet condition. We present the algorithm for the automatic adaptive grid generation: First, we determine a priori suitable far-field boundary location using the mathematical model parameters. Second, ge...

Absmct-In this work, we investigate an adaptive multigrid background (BG). A least squares solution is formulated for approach to improve the computational efficiency and the wanthe 2D inverse problem and a conjugate gradient method is titatiVe of Dm mconstNction. The idea employed at the relaxation stage of the multigrid solver, The is based on locally refined grid structure for region of inte...

In this thesis dynamic adaptive multi-grid methods are parallelized. In dynamic adaptive multi-grid methods a domain is covered by a grid, and this grid is utilized to calculate objective function values. The objective function at a specific grid point at time t is calculated according to the values of this point and its neighbors at time t-1. The accuracy of this method can be improved by appl...

Adaptive mesh refinement techniques offer a flexible framework for future variable-resolution climate and weather models since they can focus their computational mesh on certain geographical areas or atmospheric events. Adaptive meshes can also be used to coarsen a latitude-longitude grid in polar regions. This allows for the so-called reduced grid setups. A spherical, block-structured adaptive...

A spherical 2D Adaptive Mesh Refinement (AMR) technique is applied to the so-called LinRood advection algorithm which is built upon a conservative and oscillation-free finite-volume discretization in flux form. The AMR design is based on two modules, a block-structured data layout and a spherical AMR grid library for parallel computer architectures. The latter defines and manages the adaptive b...

Adaptive grid generation is an active research topic for numerical solution of differential equations. In this paper, we propose a variational method which generates transformations with prescribed Jacobian determinant and curl. Then we use this transformation to achieve adaptive grid generation task.